Answers
Answer:
∠1 = 127°
∠2 = 53°
∠3 = 127°
∠4 = 37°
∠5 = 53°
∠6 = 90°
∠7 = 37°
∠8 = 143°
∠9 = 37°
∠10 = 143°
Explanation:
If two angles form a straight line, they add to 180°, so ∠1, ∠2, and ∠3 can be calculated as:
∠1 = 180 - 53 = 127°
∠2 = 180 - ∠1 = 180 - 127 = 53°
∠3 = 180 - 53 = 127°
Then, ∠5 is corresponding to 53° because they are in the same relative position. It means that these angles have the same measure, so:
∠5 = 53°
On the other hand, ∠6 is opposite to the right angle, so it has the same measure, then:
∠6 = 90°
∠4, ∠5, and ∠6, form a straight line, so:
∠4 = 180 - ∠5 - ∠6
∠4 = 180 - 53 - 90
∠4 = 37°
Finally, the sum of the interior angles of a triangle is also 180°, so the measure ∠7 will be equal to:
∠7 = 180 - ∠2 - ∠6
∠7 = 180 - 53 - 90
∠7 = 37°
So, the measures of ∠8, ∠9, and ∠10 will be equal to:
∠8 = 180 - ∠7 = 180 - 37 = 143°
∠9 = 180 - ∠8 = 180 - 143 = 37°
∠10 = 180 - ∠7 = 180 - 37 = 143°
Therefore, the answers are:
∠1 = 127°
∠2 = 53°
∠3 = 127°
∠4 = 37°
∠5 = 53°
∠6 = 90°
∠7 = 37°
∠8 = 143°
∠9 = 37°
∠10 = 143°
Related Questions
Match each expression to the correct number of significant figures.194.9-4.922,0002127.7
Answers
Hello
For the first expression, we have
[tex]194.9-4.9=190[/tex]This have a 2 significant value
[tex]2000[/tex]This have a 1 significant value.
[tex]27.7[/tex]This have a 3 significant value
The price of hamburger increased from .50 cent to .60 cent. What is the percent increase
Answers
The hamburguer was .50 cent and increased to 0.60 cent. Let's calculate the percent increase:
The percent increase may be calculated using the formula:
percent increase = [(final value - initial value)/initial value]*100
So:
[tex]\begin{gathered} \frac{0.6-0.5}{0.5}\cdot100= \\ \frac{0.1}{0.5}\cdot100= \\ 0.2\cdot100=20 \end{gathered}[/tex]So, the percent increase was 20%
Sketch the right triangle and find the length of the side not given if necessary approximate the light to the nearest thousandth
Answers
Let's take a look at our triangle:
Using the pythagorean theorem, we'll have that:
[tex]h^2=12^2+16^2[/tex]Solving for h,
[tex]\begin{gathered} h^2=12^2+16^2 \\ \rightarrow h=\sqrt[]{12^2+16^2} \\ \rightarrow h=\sqrt[]{400} \\ \\ \Rightarrow h=20 \end{gathered}[/tex]This way, we can conlcude that the missing side measures 20 units.
if in 3 minutes you can do 45 sit-ups, how much can you do in 1 minutes?
Answers
First let's determine the number of squats per minute by finding the ratio of the number of squats per minute.
[tex]r=\frac{45\text{ sit ups}}{3\text{ min}}=15\text{ sit-up per minute }[/tex]This means that you can do 15 sit-ups in one minute.
You travel 5 hours and 50 minutes. If you drove at an average of 41 mph, how much distance you traveled?
Answers
First, let's convert those 50 minutes into hours:
This way,
[tex]x=\frac{50\cdot1}{60}\Rightarrow x=0.83[/tex]I would have driven for 5.83 hours.
Using this, and the average pace (46 miles in one hour),
We get that:
[tex]x=\frac{46\cdot5.83}{1}\Rightarrow x=268.18[/tex]I would have traveled 268.18 miles
convert the following into a decimal you must include the decimal in your answer and round to the nearest thousands)3/8
Answers
3/8 = 0.375
Explanations:The given fraction is 3/8
Using the long division method to convert 3/8 to decimal
Therefore, 3/8 = 0.375
Which equation represents a circle centered at (3.5) and passing through the point (-2.91?OA (+3)2 + (y + 5)² = 17OB. (-3)²+(y-5)² = 17OC. (x+3)²+(y+ 5)² = 41OD. (-3)2 + (y-5)² = 41ResetNext
Answers
ANSWER
[tex](x-3)^2+(y-5)^2=41[/tex]EXPLANATION
Given;
[tex]\begin{gathered} center=(3,5) \\ points=(-2,9) \end{gathered}[/tex][tex]\begin{gathered} (x-a)^2+(y-b)^2=(r)^2 \\ (x-3)^2+(y-5)^2=(\sqrt{41})^2 \\ \end{gathered}[/tex]In the parallelogram below, if AP = 45 and PC = 3x + 15, find x.
Answers
One of the properties of a parallelogram is that its diagonals bisect each other. This means that one diagonal cuts the second diagonal in equal length.
This means that AP = PC. If AP = PC, then 45 = 3x + 15.
[tex]45=3x+15[/tex]We can now find the value of x using the equation above.
First, subtract 15 on both sides of the equation.
[tex]45-15=3x+15-15[/tex][tex]30=3x[/tex]Then, divide both sides of the equation by 3 to isolate x.
[tex]\frac{30}{3}=\frac{3x}{3}[/tex][tex]10=x[/tex]Therefore, the value of x is 10. (Option B)
Please give me the correct answer.Please decide if these 4 statements is a function or not a function.
Answers
As according to given statement:
1). Each school has one principal so as there is a relation between school and principal so it is a function.
2). Each student has a unique student ID number: so as there are so many students and they allhave different unique student ID's so there is a function.
3). Shoe manufacturers make different type of shoes : so as there is relation but we can't describe a function between them.
4). Each month of the year has a total amount of rainfall measured in inches:
So it is a function between month and the rainfall measured in inches.
RecommendationsSkill plansMathLE Language artsScienceSocial studiesDE TX StandaAlgebra 10.11 Solve a system of equations using elimination: word problems NHRYou have prizes to reveal! Go toWrite a system of equations to describe the situation below, solve using elimination, and fill inthe blanks.Students in a poetry class are writing poems for their portfolios. The teacher wants them towrite stanzas with certain numbers of lines each. Dan wrote 7 short stanzas and 6 longstanzas, for a total of 140 lines. Jim wrote 7 short stanzas and 2 long stanzas, for a total of84 lines. How many lines do the two sizes of stanzas contain?The short stanzas containlines and the long ones containlines.Submit
Answers
Answer:
Short stanzas contains 8 lines
Long stanzas contains 14 lines
Explanations:
Let the number of short stanzas be "x"
Let the number of long stanzas be "y"
If Dan wrote 7 short stanzas and 6 long stanzas, for a total of 140 lines, this is expressed mathematically as:
7x + 6y = 140 ............................ 1
Similarly, if Jim wrote 7 short stanzas and 2 long stanzas, for a total of
84 lines, this is expressed as:
7x + 2y = 84 ......................... 2
Solve both equations simultaneously using elimination method
7x + 6y = 140 ............................ 1
7x + 2y = 84 ......................... 2
Subtract both equations
6y - 2y = 140 - 84
4y = 56
y = 56/4
y = 14
Substitute y = 14 into equaton 1.
Recall that 7x + 6y = 140
7x + 6(14) = 140
7x + 84 = 140
7x = 140 - 84
7x = 56
x = 56/7
x = 8
This shows that the short stanzas contains 8 lines and the long ones contains 14 lines
Rewrite 0.00384 in scientific notation.
Answers
Given:
There are given the decimal number:
[tex]0.00384[/tex]Explanation:
According to the question:
We need to write the given decimal number in the form of scientific notation.
Then,
To write into the scientific notation, we will use their properties.
So,
From the given decimal number,
[tex]0.00384[/tex]Then,
The scientific notation is:
[tex]0.00384=3.84\times10^{-3}[/tex]Final answer:
Hence, the answer is shown below:
[tex]\begin{equation*} 3.84\times10^{-3} \end{equation*}[/tex]Pls look at Question and answer pls If it’s a compound then you will need to choose if it’s conjunctional, disjunction, conditional, or biconditional
Answers
Three statements are given. It is required to determine if the statements are simple or compound, and if it's compound, it is required to choose which type.
Recall that a simple statement is a statement containing no connectives like 'or', 'and', and so on.
Recall also that a compound statement is a combination of two or more simple statements which are joined by connectives.
Compound statements joined by 'or' are called disjunctions, while those joined by 'and' are called conjunctions.
Compound statements with 'if-then' are called conditional, while the ones with 'if and only if' are called biconditional.
a) The first statement is: My cousins each have some sort of engineering degree.
Since the statement is not joined by any connectives, it is a simple statement.
b) The second statement is: My eyes are bad or this print is tiny.
Since it is a combination of two simple statements joined by the connective 'or', then, it is a compound statement, which is a disjunction.
c) The third statement is: The cat will come to you if and only if you set well.
Since it is a combination of two simple statements joined by the connective 'if and only if ', it follows that it is a compound statement and it is a biconditional.
(X^2+8x+12)/(x+2) que
Answers
Given:
[tex]\frac{x^2+8x+12}{x+2}[/tex]Let's divide the polynomials.
To divide, let's factorize the polynomial in the numerator.
Factorize using the AC method.
Find a pair of numbers whose product is 12 and whose sum is 8.
Thus, we have the numbers:
2 and 6
The factors of the polynomial in the numerator are:
(x+2) and (x+6)
We have:
[tex]\frac{(x+2)(x+6)}{x+2}[/tex]Now, cancel the common factors:
Therefore, the quotient after dividing the polynomials is = x + 6
ANSWER:
[tex]x+6[/tex]Two angles in triangle PQR are congruent, ∠P and ∠Q; ∠R measures 36.25°. What is the measure of ∠Q?
143.75°
107.5°
71.875°
36.25°
Answers
Answer:
71.875
Step-by-step explanation:
p = q
180 - 36.25 = 143.75
p + q = 143.75
143.75 ÷ 2 = 71.875
Find the value of x 6 : 9 = x : 72
Answers
To find x we write the proportion as a fraction:
[tex]\begin{gathered} \frac{6}{9}=\frac{x}{72} \\ x=\frac{72\cdot6}{9} \\ x=48 \end{gathered}[/tex]Therefore x=48
the ratio of the cost price to selling price is 8:9 . If the cost price of the power generator is 8500 what is the selling price?
Answers
What is the probability of rolling a sum of six on a standard pair of six sided dice
Answers
The probability of rolling a sum of six on a standard pair of six sided dice is 0.139.
What is probability?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
When we rolled two dice, there were 36 possible results. Of those 36 results, 5 of them added up to 6, and they were: {1, 5}, {2, 4}, {3, 3}, {4, 2}, and {5, 1}.
Therefore, P(sum 6) = 5/36 = 0.1388888
With a typical pair of six-sided dice, the likelihood of rolling a sum of 6 is 0.139.
To know more about probability, click on the link
https://brainly.com/question/24756209
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When graphing an inequality in slope-intercept form, which of the folowing indicates that you have to shade ABOVE the boundary line? Select ALL that apply.
Answers
Explanation
When graphing an inequality in slope-intercept form, we are asked to find which of the folowing indicates that you have to shade ABOVE the boundary line. This can be seen below.
The symbols
[tex]>\text{ and }\ge[/tex]Indicates that one should shade above the boundary line, The only difference is that the boundary line is broken in the case of greater than and unbroken in the case of greater than or equal to.
Answer:
[tex]>\text{ and }\ge[/tex]
using trig to find a side
Answers
we have that
tan(16)=NO/OM -------> by opposite side divided by the hypotenuse
solve for NO
NO=OM*tan(16)
x=16*tan(16)
x=4.6 ftFind the first six terms of the sequence.a = 2n² - 2
Answers
We are given the nth term of a sequence:
[tex]a_n=2n^2\text{ - 2}[/tex]We are required to find the first six terms.
For each term, we substitute for n and evaluate.
First term (n =1)
[tex]\begin{gathered} a_1\text{ = 2 }\times(1)^2\text{ - 2} \\ =\text{ 2 -2 } \\ =\text{ 0} \end{gathered}[/tex]Second term (n = 2)
[tex]\begin{gathered} a_2\text{ =2 }\times(2)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 4 -2} \\ =\text{ 8 - 2} \\ =\text{ 6} \end{gathered}[/tex]Third term (n = 3)
[tex]\begin{gathered} a_3\text{ = 2 }\times(3)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 9 - 2} \\ =\text{ 18 - 2} \\ =\text{ 16} \end{gathered}[/tex]Fourth term (n =4)
[tex]\begin{gathered} a_4\text{ = 2}\times(4)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 16 - 2} \\ =\text{ 32 - 2} \\ =\text{ 30} \end{gathered}[/tex]Fifth term ( n = 5)
[tex]\begin{gathered} a_5\text{ = 2 }\times(5)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 25 - 2} \\ =\text{ 50 - 2} \\ =\text{ 48} \end{gathered}[/tex]Sixth term ( n = 6)
[tex]\begin{gathered} a_6\text{ = 2 }\times(6)^2\text{ - 2} \\ =\text{ 2 }\times\text{ 36 - 2} \\ =\text{ 72 - 2} \\ =\text{ 70} \end{gathered}[/tex]Hence, the first six terms of the sequence are : 0, 6, 16, 30, 48 and 70
A Use the information given to answer the question. A student works at a job in order to save money to buy a desktop computer. • The student works 80 hours each month. • The desktop computer costs $850. Part B If the student has already saved $150 and plans to save an additional $100 each week, the function g(w) = 100w + 150 represents the total amount of money, in dollars, saved after w weeks. What is the value of g(5)?
Answers
The function given is:
[tex]g\mleft(w\mright)=100w+150[/tex]Where
w represents the week
g(w) represents the total money
We want to fing g(5).
This means, put "5" into the function g.
Put "5" in place of "w" in the function g.
Shown below:
[tex]\begin{gathered} g(w)=100w+150 \\ g(5)=100(5)+150 \\ g(5)=500+150 \\ g(5)=650 \end{gathered}[/tex]There were 55.5 million people enrolled in Medicare in 2015. In 2009, there were 46.6million enrolled. Which value best represents the unit rate of change (slope) in millions per year?a)-1.48b) 1.48c) 19.1%d) -0.674
Answers
Let the number of people enrolled in Medicare be represented by y
Let the year be represented by x
So that,
[tex]\begin{gathered} (x_1,y_1)=(2015,55.5\text{ million)} \\ (x_2,y_2)=(2009,46.6\text{ million)} \end{gathered}[/tex]The unit rate of change (slope) in millions per year can be calculated by:
[tex]\begin{gathered} slope=\frac{y_2-y_1}{x_2-x_1} \\ \text{Hence,} \\ slope=\frac{46.6million_{}-55.5million_{}}{2009_{}-2015_{}} \\ slope=\frac{-8.9}{-6} \\ slope=1.48 \\ \end{gathered}[/tex]Therefore, the unit rate of change in millions per year is 1.48 [Option B]
Compare f(-4) and g(-4)f(-4) is >, <, or = to g(-4)
Answers
The answer is f(-4)
EXPLANATION
When we check the value of -4 for both functions on the graph
f(-4) gives 3
g(-4) gives a number slightly greater than 1
Therefore f(-4)>g(-4)
solving systems with subtraction y=7txy=3x+9
Answers
y = 7 + x
y = 3x + 9
To solve the simulataneous equation with subtraction,
Step 1: name the equations
y = 7 + x ---- equation 1
y = 3x + 9 ----- equation 2
Step 2: subtract equation 1 from 2
so that
y - y = (3 x -x ) + (9 - 7)
0 = 2x + 2
2x = - 2
divide oth sides by 2
x = -2/2
x = -1
To get y, substitute the value for x into equation 1
y = 7 + x
y = 7 + (-1)
y = 7-1 = 6
y = 6
hence the solution is (-1, 6)
Name all the sets of numbers to which real number belongs: 6.5
Answers
Given the number 6.5
The number belongs to:
1) Rational Numbers because it can be written as a/b
How do you multiply 6x 1 1/3?
Answers
To multiply a mixed number, first, we have to convert it into a fraction as follows:
[tex]1\frac{1}{3}=\frac{1\cdot3+1}{3}=\frac{4}{3}[/tex]Now, we need to multiply 6 by 4/3, as follows:
[tex]6\cdot1\frac{1}{3}=6\cdot\frac{4}{3}=\frac{6\cdot4}{3}=\frac{24}{3}=8[/tex]solve the equation1/4p-2/5=3/4p+7P=
Answers
Solve:
[tex]\frac{1}{4}p-\frac{2}{5}=\frac{3}{4}p+7[/tex]The LCM of the denominators is 4*5 = 20. So we multiply each term by 20 to eliminate denominators:
[tex]20\cdot\frac{1}{4}p-20\cdot\frac{2}{5}=20\cdot\frac{3}{4}p+20\cdot7[/tex]Operating:
[tex]5p-8=15p+140[/tex]Adding 8 and subtracting 15p:
[tex]5p-15p=8+140[/tex]Simplifying:
[tex]-10p=148[/tex]Dividing by -10:
[tex]p=\frac{148}{-10}[/tex]Simplifying:
[tex]p=-\frac{74}{5}[/tex]What is the equation to solve: if the sim of four consecutive integers is 26, what is the value of the first integer?
Answers
ANSWER:
5
STEP-BY-STEP EXPLANATION:
We set up the equation as follows:
Let x be the first integer
[tex]x+x+1+x+2+x+3=26[/tex]We solve for x:
[tex]\begin{gathered} 4x+6=26 \\ \\ 4x=26-6 \\ \\ x=\frac{20}{4} \\ \\ x=5 \end{gathered}[/tex]The value of the first integer is 5
Match the term on the left with its figure on the right.
Answers
Question:
Solution:
1. Equilateral triangle:
An equilateral triangle is a triangle in which all three sides have the same length.
This is the case of the following figure (D) :
2. A Scalene right triangle:
A scalene right triangle is a triangle in which all three sides are in different lengths and one of its angles is 90 degrees.
This is the case of the following figure (A):
3. Isosceles right triangle:
An isosceles right triangle has two equal sides and one angle of 90 degrees, as the following figure (C):
4. Isosceles obtuse triangle:
An isosceles obtuse triangle has two equal sides with any angle greater than 90 degrees, as in the following figure (B):
2 2. 8 friends are going on a camping trip. 5 friends own a sleeping bag. How many friends need a sleeping bag? + Il8-5=3
Answers
If 8 friends go camping and only 5 friends have sleeping bag
Then of the 8 friends, the number that need a sleeping bag would be
= 8 - 5
= 3
Hence 3 friends will be in need of a sleeping bag