Problem 1. Find the measure of each angle in the diagram below 85° (2x) x 35°

Answer:

about 37

Step-by-step explanation:

(8x-23) ----> divide

----  ----

8.     8. ------> 8x cancels out and is just x

x- 2.875+34 =.  37

The first case is when the order of choices is not taken into consideration. If the order of choices is not taken into considerations then it is a case of permutations. So, the number of ways in which 6 colors can be chosen from 9 distinct colors are

The second case is when the order of choices is taken into consideration. If the order of choices is taken into considerations then it is a case of combinations. So, the number of ways in which 6 colors can be chosen from 9 distinct colors are

In question 7, the exercise only wants an explanation, in text form, of the meaning of the substitutions. That is, that the value of x=5 indicates the time that has passed, 5 hours, and that f(5)=32 indicates the number of riders.

In question 8, you need to pick some values for x, make a table with those values and the respective values of the function when you substitute those values of x, and put the points on the graph.

we have the expression

Applying properties of log right side

Equate the numbers inside the parenthesis

Solve for P

Simplify

GIVEN:

We are given the diagram showing a trapezoid REWT, with the vertical line RL.

Required;

Identify the correct term for the line RL.

Solution;

The trapezoid has;

RE = Shorter base

TW = Longer base

RL = Altitude (or vertical height).

ANSWER:

The correct answer is option B

The expression we have is:

This is the equation of the line.

To find the y-intercept, we need to find the value for y, when x is equal to 0. So we plug x=0 into our equation:

And we solve for y:

Divide both sides by -2:

The y-intercept is at y=-6

In the coordinate form, the y-intercept is (0,-6)

Now, to find the x-intercept, we need to find the value of x, when y=0.

So we plug y=0 into the equation:

And we solve for x:

Divide both sides by 6:

The x-intercept is at x=2

In coordinate form, the x-intercept is: (2,0)

Answer:

2,-6

Step-by-step explanation:

the app is desmos btw- very helpful

C.

if x one of the angles, then, the other angle is 3x - 2. Due to these angles are supplementary, you can write:

x + 3x - 2 = 180

by solving for x you obtain:

x + 3x - 2 = 180 simplify like terms left side

4x - 2 = 180 add 2 both sides and divide by 4 both sides

4x = 180 - 2

4x = 178

x = 178/4

x = 44.5

the other angle is then:

3x - 2 = 3(44.5) - 2 = 131.5

Hence, the two angles are 44.5° and 131.5°

P = 2w + 2L

w = L - 9

The value of given expressions is -4[tex]x^{-2}[/tex] + 3[tex]y^{0}[/tex] = 19 and 2[tex]x^{0}[/tex][tex]y^{-2}[/tex] = 0.08

Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.

Given expression 1. -4[tex]x^{-2}[/tex] + 3[tex]y^{0}[/tex]  2. 2[tex]x^{0}[/tex][tex]y^{-2}[/tex]

Expression for x =2 and y=5

-4x-2 + 3y0

= -4(2)-2 + 3(5)0

= 16+3

=19

Now

2x0y-2

= 2(2)0x(5)-2

= 2 x (1/25)

= 2 x 0.04

= 0.08

Therefore the value of given expressions is -4[tex]x^{-2}[/tex] + 3[tex]y^{0}[/tex] = 19 and 2[tex]x^{0}[/tex][tex]y^{-2}[/tex] = 0.08

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First, lets determine the speed of Ashley

d/ t = speed

540meters / 3 minutes

180 meters per minute

Now determine the speed of Grace

d/t = speed

480 meters / 2 minutes

240 meters per minute

Since Grace has the larger number, Grace ran faster

Answer:

Step-by-step explanation:

x = 10

y = -1

See pics for explanation:-

Hope it helps :)

The slope is -3, and y-intercept is 8

The graph is shown below:

Given the line:

y= -3(x - 1) + 5

Let us write this in the form:

y = mx + b

Where m is the slope and b is the y-intercept

Removing the parentheses, we have:

y = -3x + 3 + 5

= -3x + 8

Therefore,

The slope is -3, and y-intercept is 8

Since the given function is

We want to evaluate it at some values of x

a) To find f(0), substitute x by 0

b) To find f(5), substitute x by 5

c) To find f(b), substitute x by b

d) To find f(x-1), substitute x by (x - 1)

Simplify it by multiply 3 by the bracket

Add the like term

Given the following trinomial expression:

To factor the trinomial, we need two numbers:

The product of them = 40

The sum of them = 14

The factors of 40 will be as follows:

40 = 1 x 40 ⇒ sum = 41

40 = 2 x 20 ⇒ sum = 22

40 = 4 x 10 ⇒ sum = 14

40 = 5 x 8 ⇒ sum = 13

so, the numbers will be 4 and 10

The factoring of the expression will be as follows:

So, the answer will be B. x+10

9 oranges shared between 4 persons

x = 9/4

Oranges for each person = 9/(number of persons)

In this case, number of persons = 4

Oranges for each person = 9/4

Oranges for each person = 2.25 oranges (also we can write 2 1/4)

discount was 2%

Cost of 3 mem cards

A + B + C = X

2% of X = X+ (2/100)X

Then

Cost of 2 mem cards= $47.50

5% of $47.50 = $2.375

Cost of 3 mem cards = 47.50 + 47.50/2= 47.50 + 23.75= $71.25

Now find 2% 0f 71.25

= (2/100)x71.25= $1.425

Then

customer pays

$71.25 - $1.425= 69.83

Answer is

customer pays $69.83 for three memory cards

So the average decrease will be 50% for the season of 5 weeks as the definition of percent decrease will be "The difference between starting and ending values is the percentage decrease. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decrease".

The difference between starting and ending values is the percentage decrease. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decrease. The letter "%" stands for it.

Here,

The percent decrease will be,

48000-24000=24000

24000/48000*100=50%

24000-12000=12000

12000/24000*100=50%

12000-6000=6000

6000/12000*100=50%

6000-3000=3000

3000/6000*100=50%

3000-1500=1500

1500/3000*100=50%

Due to the definition of percent decrease being a season of five weeks, the average decrease will be 50% "The percentage decrease is the difference between the starting and ending values. Regardless of the units, it shows a percentage decline in value relative to the starting point. The amount of decrease is the difference between the initial and final amounts ".

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Answer:

df = 49

t = 2.01

Explanation:

The degrees of freedom for the t-distribution is always equal to the size of the sample n minus 1, so the degrees of freedom are:

df = n - 1

df = 50 - 1

df = 49

Then, the critical value is t(alpha/2) can be calculated using a t table with 49 degrees of freedom, where

alpha = 100% - 95% = 5%

So, alpha/2 = 5%/2 = 2.5%

Therefore, using a table, we get:

So, the answers are:

df = 49

t = 2.01

We have a triangular prism.

The volume of a triangular prism is given by,

where,

b is the base,

h is the height, and,

l is the length,

for this problem:

b = 3 yd

h = 2 yd

l = 6 yd

Therefore, the volume is,

Thus, the answer is 18 cubic yards

Given:

In ΔPQR, Perimeter is 55 units.

The length of PQ = 2x+4

The length of PR = x+3

The length of Q+R = x

To find the length of QR, that is x:

Perimeter of the triangle formula is,

So, we have

Then, the length of QR is, 12 units.

This is a riddle where the left-hand side represents the amount spent and the right-hand side represents the balance.

We have that:

Adding the values in the balance column is not really necessary; in fact, it is coincidental in this case that the balances add up to 51.

Answer:

D. 6

Explanation:

The general equation for a circle centered at the origin (0,0) is:

Given the equation of the circle:

Thus, the radius of the given circle is 6.

The formula in getting the circumference of a circle is:

where r = length of the radius and π = 3.14159.

Since the radius is already given in the circle which is 9.9 km, let's use this value to replace "r" in the formula. Use 3.14159 to replace π as well.

Then, multiply.

Hence, the circumference of the given circle is approximately 62.2 km.

To write the unit in acres per day. We have 2/3 acres and 7/8 days:

Answer: 16/21 acres per day

If the elevation of New Orleans is -0.3m, then it is below sea level.

This is because it is a negative number and any

You have the following information:

JK = 3x + 18

NO = 18

You can notice that segment JM and MK are equal, furthermore, JK = JM + MK.

Then, JK = 2JM. From this expression you obtain:

JM = JK/2

By replacing the given expression for JK you have:

JM = (3x + 18)/2 = 3/2 x + 9

Moreover, you can notice that segments JM and NO are qual. Then, you have:

JM = NO you replace the expressions for JUM and NO

3/2 x + 9 = 18 subtract 9 both sides

3/2 x = 18 - 9

3/2 x = 9 multiply both sides by 2/3

x = 9(2/3)

x = 18/3

x = 6

Hence, the value of x is x = 6

Solution

Given:

Recall from the law of indices that;

Let's apply the midpoint formula

((x1+x2)/2, (y1+y2)/2)

A figure is given with :-

∠ABC ≅ ∠DEC

∠GFE ≅ ∠DCE

Point C is the point of intersection between segment AG and segment BD.

Point E is the point of intersection between segment AG and segment DF.

We have to prove that ΔABC ∼ ΔGEF.

As ∠ABC ≅ ∠DEC

We can write,

∠DEC =  ∠FEG  (Vertically opposite angles)

Similarly,

As ∠GFE ≅ ∠DCE

We can write,

∠DCE = ∠ ACB (Vertically opposite angles)

Hence,

∠ ACB = ∠DCE = ∠GFE

∠ ACB = ∠GFE

Also,

∠FEG = ∠DEC = ∠ ABC

∠FEG = ∠ ABC

Hence, by using AA corollary, we can write,

ΔABC ∼ ΔGEF

Hence, proved.

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Solution:

The rate of change, m, is;

Thus;

ANSWER: (D) 10 feet per minute