Find the measure of the missing angles?

Find The Measure Of The Missing Angles?

Answers

Answer 1

[tex] \angle 1=\angle 2=62.5^{\circ}[/tex] (isosceles triangle)

[tex]\angle 3=55^{\circ}[/tex] (vertical angles)

[tex]\angle 4=75^{\circ}[/tex] (linear pair)

[tex]\angle 5=50^{\circ}[/tex] (exterior angle theorem)


Related Questions

you buy a shirt that is on sale for 30% off. the original price is $22.40. your friend wants to know the sale price of the shirt. how can your friend find the sale price?

Answers

The sale price of the shirt can be found by calculating 30% of the original price, which in this case would be $22.40 x 0.30 = $6.72. Thus, the sale price of the shirt would be $22.40 - $6.72 = $15.68.

A 55 inch pipe is cut into two pieces. One piece is four times the length of the other find the length of the shorter piece.

Answers

Answer:

11 inches

Step-by-step explanation:

4x + x = 55    Combine like terms

5x = 55     Divide both sides by 5

x = 11  This is the length of the shortest piece the other piece is 44 4(11)

Answer:

11 inches, 44 inches

Step-by-step explanation:

First of all, we need to make this equation, into an algebraic one:

4x + x = 55

The x represents the number of inches for the rope.

Now you simplify:

5x = 55

This equation can be simplified to a regular division problem:

55/5 = x

Using basic division, x is equal to 11 inches.

Now, this is just the shorter rope.

Note that the other piece is 4 times larger than the short one:

4 x 11 = 44

Thus 11 inches and 44 inches is the answer

What is 45 less than the product of 18 and a number written as an algebraic expression? 18n − 45 45 − 18n 18(n − 45) n(18 − 45)

Answers

The algebraic expression 18n - 45 is correct for the statement "45 less than the product of 18 and a number written as an algebraic expression"

Word problem in algebra

We can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.

Let us represent the unknown number with the letter "n"

The product of 18 and the number will be;

18 × n = 18n

45 less than the product of 18 and the number (n) is thus written algebraically as;

18n - 45

Therefore, 45 less than the product of 18 and a number(n) is written as an algebraic expression as 18n - 45.

Learn more about algebra here: https://brainly.com/question/13818690

#SPJ1

What equation is equivalent?

Answers

Answer:

B: y=2/3-5x

Step-by-step explanation:

15x+3y=2

-15x.     -15x

3y=2-15x

/3 /3. /3

y=2/3-5x

so B is the correct answer

hopes this helps please mark brainliest

Answer:

D

Step-by-step explanation:

Based on the information provided, it appears that the correct answer would be option D: y=2 - 15x. This can be determined by solving the given equation for y by isolating the y-term on one side of the equation. To do this, you can subtract 15x from both sides of the equation, resulting in y = 2 - 15x.

Here is the complete process for solving the equation:

Begin by subtracting 15x from both sides of the equation:

15x + 3y = 2

-15x -15x

This simplifies to:

3y = 2 - 15x

Now, divide both sides by 3 to isolate the y-term:

3y/3 = (2 - 15x)/3

This simplifies to:

y = 2/3 - 15x/3

Finally, since 3 is a common factor, we can simplify the right side of the equation further by dividing both the numerator and the denominator by 3:

y = 2/3 - 15x/3

y = (2/3) / (3/3) - (15x/3) / (3/3)

y = (2/3) / 1 - (15x/3) / 1

y = 2/3 - 15x/3

y = 2/3 - 5x

Therefore, the equivalent equation is y = 2/3 - 5x, which is option D.

25. If 5F+8/G =3R-1/S
is solved for F, then F =

Answers

After solving the equation the value of F = (3GR -G - 8S) / 5S

Define Algebraic Expression

In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)

Given expression is,

5F + 8 / G = 3R - 1 / S

Multiply both side by G

( 5F + 8 / G ) * G= (3R - 1 / S) * G

Simplify it,

5F + 8 = G(3R - 1) / S

Now, solve for F

5F = (3GR - G / S )- 8

5F = 3GR - G - 8S / S

F =  3GR - G - 8S / 5S

Hence, After solving the equation the value of F = (3GR -G - 8S) / 5S

To read more about Algebraic Expression

https://brainly.com/question/4344214

#SPJ1

Suppose particular plane needs to attain speed of k feet per second In order to take off: The plane can attaln that speed in 30 seconds Assume acceleration Is constant; v(o) = 0, and s(0) when answering the questlons below. Use lower case k. (a) Flnd formulas for acceleration_ velocity, and position of the plane_ Your answers will have k In It: a(t) Select-= v(t) Select s(t) Selec (D) If the plane accelerates to feet per second in 30 seconds how far will it travel In that time? Your answer will have k In It. feet (c) If a runway Is 3450 feet long and the plane uses the entire runway to take off, what Is the value of k?

Answers

Formula available for acceleration, velocity and position of plane are

k²=2as, k=30a, s=450a and the value of k is 230 ft/sec

what is velocity?

rate of changes of distances with respect to time.

what is acceleration?

rate of changes of velocity with respect to time.

Given, final velocity, v= k ft/s

time needed to attain speed k is 30 s

time, t= 30 sec

acceleration, a = constant

initially at time t=o, velocity and distance travel by aircraft was also o

initial velocity u =0, distance s = 0

as per the formula regarding velocity, distance, time and acceleration

v² = u²+2as

as per the question final velocity v= k, initial velocity u=0

k² = 2as

again, the formula v= u+at

the velocity of v after 30 second

 k= a×30

acceleration, a= k/30

from the other formula, s=ut+1/2×at²

distance travel by aircraft after 30 second with initial velocity 0.

s= u×0+1/2×a(30) ²

s= 450a

previously we got a=k/30

now, s =450×k/30= 15k

if the runway is 3450 feet long and the plane needs to use the entire runway to take off then the value of k will be

s=15k

k=230 ft/sec

hence, the value of k is 230 ft/sec

to learn more about time, velocity, acceleration visit the link:

https://brainly.com/question/29833689

#SPJ4

is this statistical, what is the total number of eggs in dozen?

Answers

The total number of eggs in a dozen is 12.

30-60-90 triangle question is in the image

Answers

Answer:

it is easy 56 and 45 and 567

Two cars leave town at the same time. One travels west at 56 mph, and the other
travels south at 42 mph. After one hour, how far apart are the cars?
ongo if starting in

Answers

The distance between the cars after a hour is 14 meters.

How to calculate the distance of the cars?

Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.

In this case, the cars leave town at the same time. One travels west at 56 mph, and the other travels south at 42 mph.

With the speed, the total distance after an hour will be:

= 56 - 42

= 14 meters

The cars are 14 meters apart.

Learn more about speed on:

brainly.com/question/13943409

#SPJ1

Use point-slope form to write the equation of a line that passes through the point
(9, 15) with slope -4/3

Answers

Answer:

Hope it helps

Step-by-step explanation:

y - 15 = -4/3(x - 9)

A company manufactures small refrigerators. The total cost to manufacture 57 refrigerators is $6665. The total costs to manufacture 180 refrigerators is $18965. Assume that total cost, C, is linearly related to the number of refrigerators, x, the company manufactures and includes a fixed cost and a cost per refrigerator.
1.The total cost to manufacture 145 refrigerators is $
2.The fixed costs are $
3.The cost to produce each additional refrigerator is $

Answers

the cost of 145 refrigerators is $16954.82 and fixed cost rate per refrigerator is $116.92

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

A company manufactures small refrigerators. The total cost to manufacture 57 refrigerators is $6665.

manufacture 1 refrigerator is $6665/57 = $116.92

So to make 145 refrigerators the money will spent is $116.92*145= $16954.82

The fixed cost arte per refrigerator is $116.92

Hencve the cost of 145 refrigerators is $16954.82 and the fixed cost rate per refrigerator is $116.92

Learn more about arithmetic, by the following link.

https://brainly.com/question/13181427

#SPJ1

A recreation center charges $50 to rent the gym for 1 hour, and $100 to rent the gym for 3 hours. Jon says the price per hour is $50. Find and correct Jon’s mistake. Assume the relationship is linear.

Answers

The rent of the gym for one hour is $50 and for three hours it is $100.

What is division?

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

A recreation center charges $50 to rent the gym for 1 hour, and $100 to rent the gym for 3 hours,

Calculate the price if you rent a gym for 3 hrs = 100 / 3 = $33.33

Therefore, the rent of the gym for one hour is $50 and for three hours it is $100.

To know more about division:

https://brainly.com/question/27566440

#SPJ1

Which of the following properly expresses the
verbal
statement "The square root of a number, x, is 5
less than
the sum of the number and 2" ?
F. √x = 5-(x + 2)
G√√√x = (x + 2)-5

Answers

"The square root of a number, x, is 5less than the sum of the number and 2"  is √x = (x+2)-5

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given verbal statement is  "The square root of a number, x, is 5

less than the sum of the number and 2"

The x is the given number.

So square root of a number, x means √x

5 less than the sum of the number and 2.

sum of the number and 2 means x+2 and 5 less than the sum of the number and 2 means (x+2)-5

So √x = (x+2)-5 is the equation.

Hence, √x = (x+2)-5 expresses the verbal statement "The square root of a number, x, is 5less than the sum of the number and 2"

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

FluffytopFluffytopFluffytopFluffytop

Answers

Answer:

continue the streak:)

Step-by-step explanation:

fluffytopfluffytopfluffytopfluffytopfluffytopfluffytopfluffytopfluffytopfluffytop

hoped this helped:)

brainliest for the brains lol

50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! 50 POINTSSSSSS ASAP!!!! PLEASE HELP

Which scatterplot(s) show a positive linear association between the variables?

A.
Table A only

B.
Neither table

C.
Table B only

D.
Both tables

Answers

table b. it’s the one on the right for both pics

Answer:

Step-by-step explanation:

I'd say c.) table b only. Because it's a straight line which I think is positive but i'm not sure about the association between the variables part. If wrong I'm sorry.

The owner of bookstore buys used books from customers for $1.50 each .the owner then resells the used books for 400% of the amount he paid for them.what is the price of a used book in this bookstore

Answers

The selling price of a used book at the store where the owner buys a used book for $1.50 and resells the used book at a price of 400% the price at which he buys the used book is $6.00

What is the selling price of a commodity?

The selling price of an item is the price which is displayed on the item on the shelves of a store. The selling price is often different from the price at which the item is bought, or produced, which is often lesser than the price at which the item is sold.

The amount at which the owner buys each used books = $1.50

The amount at which the owner of the used book store sells the books = 400% of the amount he paid for the books

400% of an amount x is equivalent four times the amount. (4 × x)

The price at which the owner sells a used book at his store, P, is therefore;

P = 400% × $1.50 = 400/100 × $1.50 = $6.00

The price of a used book at the store is $6.0

Learn more about percentages here:

https://brainly.com/question/843074

#SPJ1

Find the critical z value for a confidence level of 85%. (round answer to 2 decimal places)
. I want to know what Z-table to use and how to read it because it get me confused in reading the z table to answer this type of question

Answers

Using a z-table for the value, the critical z-value for a confidence level of 85% is; ±1.439.

How to find the critical z-value?

The critical value of a distribution is defined as the value beyond which the rejection region lies.

Now, for a confidence interval , the rejection region lies beyond two values, the positive and the negative critical value.

We are given that the confidence level is 85%.

Thus, the computation of the critical value of z for 85% confidence level is expressed as follows;

±z_α/2 = ±z_0.15/2

This is simplified to get;

±z_0.075 = ±1.439

That value is concluded to be the critical z-value at the given confidence level.

Read more about Critical z-value at; https://brainly.com/question/14040224

#SPJ1

Refer to the golden ticket parking lottery example (page 296). At the following month's school assembly, the two lucky winners were once again members of the AP Statistics class. This raised suspicions about how the lottery was being conducted. How would you modify the simulation in the
example to estimate the probability of getting two winners from the AP Statistics class in back-to-back
months just by chance?

Answers

Answer: i dont kno man

Step-by-step explanation:

A 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day. The medication comes in a liquid solution of 50 mg for every 10 ml. How many ml of this solution will this patient need in a day?

Answers

The 4ml of this solution, this patient will need in a day.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day.

The medication comes in a liquid solution of 50 mg for every 10 ml therefore,

0.25 x 80 = 20mg/day

50/10 = 5mg/ml

Then the patient need in a day;

20/5= 4ml

Theefore, The solution, this patient will need in a day is 4 ml.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ1

The manager of Jim's Grill tracked and charted how many customers they have to better schedule her staff. Based on the graph, about how many customers are in the restaurant at the slowest time of the , between the two peaks?

Answers

At 2:00pm and 5:00pm. I hope this helps

A 14 km road needs repaired. Workers can repair 3 1/2 km of the road per week. How many weeks will it take to repair the road?

Answers

Answer:

3×1/2 = 1.5km per week

14÷1.5=9.33 if you round it it would take 9weeks


The diameter of a circle is 3 ft. Find its area to the nearest whole number.

Answers

Answer:

7.065

Step-by-step explanation:

So, to find the area of a circle you need to use "A =  π r2"

First, we have to find out the radius of the circle, so cut the diameter in half, that will equal 1.5 ft

then, you put 3.14 (pi) into a calculator

then put (1.5 x 1.5) which is 1.5 to the second power.

the equation put together will be 3.14 (1.5 x 1.5)

So the answer will be 7.065

Which of the scatter plots below shows the most accurate line of best fit?
PLS LOOK AT PICTURE AND HELP ME, IM BEING TIMED

Answers

Answer:

Z

Step-by-step explanation:

What is the formula for simple interest?
a. (rate) x (interest) - (principal) x (time)
b. Interest - (principal) x (rate) x (time)
C.
interest
rate
d. rate= (interest) x (principal) x (time)
principal
time

Answers

Answer: C

Step-by-step explanation:

one angle the triangle measures 10° Greater the smallest angle and the third angle measures 10° less than twice the smallest angle find the measurement of the three angles

Answers

The measure of three angles of triangle are 45°, 55° and 80°.

What is angle sum property of a triangle?

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

Let the smallest angle of triangle be x.

One angle the triangle measures 10° greater the smallest angle, that is x+10°

The third angle measures 10° less than twice the smallest angle.

The third angle is 2x-10°

Now, x+2x-10°x+10°=180°

⇒ 4x=180°

⇒ x=45°

So, 2x-10°=80° and x+10°=55°

Therefore, the measure of three angles of triangle are 45°, 55° and 80°.

To learn more about the angle sum property of a triangle visit:

https://brainly.com/question/8492819.

#SPJ1

You have $1200 and a few different investment choices for the money. Below are a series of descriptions of investments, and equations that match with some of the descriptions. Please drag the equations to match the descriptions.

Answers

Compound interest equation:

[tex]A = P(1 + r/n)^{nt}[/tex],Where A - future value, P - invested amount, r- rate, n- number of compounds per year, t- years.

Find equations for each case below.

1) P = 1200, r = 0.09, n = 1, t = 15

Equation: A = 1200(1 + 0.09)¹⁵ = 1200(1.09)¹⁵

2) P = 1200, r = 0.12, n = 4, t = 15

Equation: A = 1200(1 + 0.12/4)⁴*¹⁵ = 1200(1.03)⁶⁰

3) P = 1200, r = 0.12, n = 12, t = 15

Equation: A = 1200(1 + 0.12/12)¹²*¹⁵ = 1200(1.01)¹⁸⁰

4) P = 1200, r = 0.15, n = 2, t = 9

Equation: A = 1200(1 + 0.15/2)²*⁹ = 1200(1.075)¹⁸

245 as a reduced fraction

Answers

The reduced fraction of 0.245 is 49/200.

What is the greatest common factor (GCF)?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, the numbers 12, 20, and 24 share the components 2 and 4. Since four is the largest, we refer to the GCF of 12, 20, and 24 as four. Frequently, GCF is used to identify common denominators.

We have,

0.245

Write 0.245 as  

0.245 / 1

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

0.245/1

=   0.245 x 1000 / 1 x 1000

=  245 / 1000

In order to reduce the fraction find the Greatest Common Factor (GCF) for 245 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.

The factors of 245 are: 1  5  7  35  49  245

The factors of 1000 are: 1  2  4  5  8  10  20  25  40  50  100  125  200  250  500  1000

The Greatest Common Factor (GCF) for both 245 and 1000 is: 5

Now to reduce the fraction we divide both the numerator and denominator by the GCF value.

245/ 1000

= 245 ÷ 5 /1000 ÷ 5

=  49 / 200

The decimal part is: 0.245 = 245/1000

Full simple fraction breakdown: 245/1000

= 49/200

Hence, the reduced fraction of 0.245 is 49/200.

To learn more about the greatest common factor visit,

https://brainly.com/question/219464

#SPJ1

Given F (0, 2) and G (2,6), if point S lies 1/3 of the way along FG, closer to F than to G, find the coordinates of S. Leave your answer in fraction form.

Answers

The coordinates of S(x₁, y₁)=(3/2 , 5) if F(0, 2) and G(2,6) and the lines divided in the ratio 1:3

What is a section formula?

Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it. Finding systems' centers of mass, equilibrium locations, etc. are all done using this method in physics. Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it.

Given,

F(0, 2) and G(2, 6)

And also given that the points S lies on the way along FG then:

The lines divides the ratio,

1:3= m:n

Here we have to find the coordinates of S, we get:

S(x₁, y₁)=((mx₁+n x₂)/(m+ n), (my₁+n y₂)/(m+ n))

=((1(0)+3(2))/4 , (1(2)+3(6))/4)

=(6/4 , 20/4)

=(3/2 , 5)

S(x₁, y₁)=(3/2 , 5)

Therefore, the coordinates of S(x₁, y₁)=(3/2 , 5).

To know more about coordinates, visit:

https://brainly.com/question/14568576

#SPJ1

Answer:

S(2/3, 10/3)

----------------------------------

Given

Points F(0, 2) and G(2,6).

We need to find the point S(x, y) which makes FS = 1/3 FG.

Each coordinate of S is at 1/3 FG distance from F.

Find values of x and y:

x = 0 + 1/3(2 - 0) = 0 + 2/3 = 2/3y = 2 + 1/3(6 - 2) = 2 + 4/3 = 10/3

So the point S is at (2/3, 10/3).

bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct

Answers

Answer: 30.36

Step-by-step explanation:

92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.

WILL SOMEONOE HELP ME WITH THIS SIMPLE GEOMETRY?

Answers

Answer:

Below

Step-by-step explanation:

If they are similar the ratios of their sides are similar

11 is similar to 43    as   8 is similar to OP

Set up a ratio of this statement:

11/43  =  8/OP      then OP = 8 * 43/11 = 31.3 units  

Other Questions
according to recent data, obese patients are less likely than nonobese patients to obtain preventive health services and exams, including cancer screenings, pelvic exams, and mammograms. they are more likely to cancel appointments, delay appointments, and delay preventive care service. t or f In the long run, if service capacity is inadequate for the arrival rate, one of the following will likely occur:a. servers will slow down.b. customers will demand less.c. reneging will occur.d. prices will be increased. although western europe is very industrially developed, agriculture is the main form of land use. t oor f the government imposes a luxury tax on automobiles that cost more than $40,000. as a result, fewer individuals purchase cars that cost more than $40,000. this is an example of a. tax equity. b. tax shifting. c. tax evasion. d. tax incidence. lucy vs. ape vs. human for this lab you are going to compare lucy (a. afarensis) to an ape and a human. you will first compare the pelvis and femur. then you will compare the skulls. lucy vs. ape lucy vs. human illium shape and length orientation of the illiac blades (do they curve inward, are they flat?) femur is there a bicondylar angle present? what is the orientation of the head of the femur? straight? curved? what is the size of the linea aspera? overall which is lucy more similar to? an ape or a human? what features sup 3. refer to the data below. assuming the prices of resources a and b are $5 and $8 respectively, what is the least costly combination of resources for the firm to employ in producing 192 units of output? propaganda is a kind of: group of answer choices misconception. thinking error. persuasive communication. critical writing. Consider the following graph: What is the slope/rate of change between the inputs of 0 and 4? _______.What is the slope/rate of change between the domain values of 4 and 8? ______.Is the slope/rate of change constant (not changing/the same)? ______.Is the function linear? _______. jason owns blue corporation bonds (face value of $10,000), purchased on january 1, 2022, for $11,000. the bonds have an annual interest rate of 3% and a maturity date of december 31, 2031. jason elects to amortize the bond premium and, using the effective interest rate method, determines that the bond premium amortization for 2022 is $100. what are his taxable interest income for 2022 and the adjusted basis for the bonds at the end of 2022? Who wa the Federalit candidate and the Democratic-Republican candidate in the preidential election of 1800? Which of the following is example of chemical mutagen *? Sugar cookies require 1 cups of butter for every2 cups of sugar. How many cups of butter areneeded for 7 cups of sugar? the abstract class desktopcomponent contains an abstract method named onclicked that is void-returning and accepts no parameters. provide the declaration of this method. the revenue recognition principle applies to merchandisers by recognizing sales revenues when the performance obligation is satisfied. if a 4m yardstick casts a 21m shadow, how tall is a building that is 64m (draw a picture with two similar polygons) The study of situational variables related to helping a stranger, most notably the decreased livelihood of helping as the number of bystanders increases. a charge nurse has assisted two employees to resolve their conflict, with the outcome being that the two opposing goals were discarded and new goals were adopted. what is this an example of? The film version of George Bernard Shaws Pygmalion adds a scene that shows Eliza in her home, grooming herself in front of a mirror. What does this scene indicate about Elizas character? scientists mate two parrots from different populations to see if speciation has occured. the parrots mate over and over again but the male sperm never fertilizes the female egg. what type of barrier is this you are holding two helium balloons, a large and a small balloon. how do the pressures of the helium compare?