Find the measure of each interior and exterior angle. The diagram is not to scale.
Answers
Answer/Step-by-step explanation:
✅m<1 = 90° (right angle)
✅m<2 = 90° (<1 and <2 are supplementary, and also linear pair)
✅m<3 = 90° (<1 and <3 are supplementary, and also linear pair)
✅m<4 = 115° (vertical angles theorem)
✅m<5 + m<4 = 180° (linear pair)
m<5 + 115° = 180° (substitution)
Subtract 115 from each side
m<5 = 180 - 115
m<5 = 65°
✅m<6 = m<5 (vertical angles are congruent)
m<6 = 65° (substitution)
✅m<7 = m<1 + m<6 (exterior angle theorem)
m<7 = 90° + 65° (substitution)
m<7 = 155°
✅m<8 = 180 - m<7 (linear pair theorem)
m<8 = 180 - 155 (substitution)
m<8 = 25°
✅m<9 = m<7 (vertical angles are congruent)
m<9 = 155° (substitution)
Related Questions
What is the image of (0,–8) after a reflection over the line y = –2?
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(–6)² – (–7)²
I need a step by step process.
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A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?
Answers
Answer:
$170
Step-by-step explanation:
15 percent of 200 is 30 and 30 minus 200 would be 170
Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.
HELP PLS EJDHWJDHJ
Answers
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Hope I' not too late -w-'
a tube is stretching
Answers
Answer:
h
Step-by-step explanation:
Please hurry bb :) Please don't put the wrong answer if u don't know <3
Answers
799 and that’s less.
what is the value of (3/4)³
Answers
Answer:
27/64 or 0.421875
Step-by-step explanation:
= 3^3 / 4^3
= 27 / 64
I hope this helps
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
We cube the 3 (3^3),which makes 27 and cube the 4(4^3), which makes 64
Town A has 14,700 residents and covers 42 square miles. Town B has 58,000 residents and covers 116 square miles. Which comparison is accurate?
Town A has 150 more residents per square mile than town B.
Town B has 150 more residents per square mile than town A.
Town A has 585 more residents per square mile than town B.
Town B has 585 more residents per square mile than town A.
Answers
Answer: b town b has 150 more residents per square mile than town A
Step-by-step explanation:
Answer:
Town B has 150 more residents per square mile than town A.
Step-by-step explanation:
I got it right on edge 2021 :) I hope its right and that you have an amazing day you amazing person :DD
100x 500 please help me with this quickly
Answers
Answer:
50000
Step-by-step explanation:
Answer:
The answer is 50000
Step-by-step explanation:
does anyone know this? I dont get it
Answers
Answer:
1st one
Step-by-step explanation:
If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent
Answers
Answer:
[tex]\large\boxed{\textsf{True.}}[/tex]
Step-by-step explanation:
[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]
[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]
[tex]\textsf{the same, straight lines.}[/tex]
[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]
[tex]\textsf{angles are congruent to each other.}[/tex]
[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]
Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options
Answers
The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
What is incenter of triangle?
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle. The incenter of a triangle is also known as the center of a triangle's circle since the largest circle could fit inside a triangle. The circle that is inscribed in a triangle is called an incircle of a triangle.
According to the question
Point A is the incenter of triangle DEF .
Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. (X,Y,Z are points on middle of sides )
Now,
According to the properties of incenter of the triangle
1.> The circle that is inscribed in a triangle is called an incircle of a triangle.
i.e
Point A is the center of the circle that passes through points X, Y, and Z.
2> The incenter of a triangle is equidistant from the sides of a triangle, as the central axis's junction point is the center point of the triangle's inscribed circle.
i.e
Line segment A X is-congruent-to line segment A Y .
3> A triangle's incenter always lies inside the triangle.
i.e
Point A is always inside triangle DEF .
Hence, The points must be true for Point A which is the incenter of triangle DEF are 1> Point A is the center of the circle that passes through points X, Y, and Z. 2>Line segment A X is-congruent-to line segment A Y . 3> Point A is always inside triangle DEF .
To know more about incenter of triangle here:
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Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.
Answers
Answer:
Step-by-step explanation:
okay i will answer but i dont see the question
What is the image point of (1,0) after a translation right 1 unit and up 4 units?
Answers
Answer:
(2,4)
Step-by-step explanation:
hope this helps :)
Answer:
(1,0) + 4 up and + 1 right
The answer is (2,4)
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?
Answers
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
Please help will mark brainliest if correct
Answers
Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
Evaluate the expression 2(3x-2y) when x=5 and y=2
Answers
Answer:
22
Step-by-step explanation:
2(3(5)-2(2)
2(15-4)
2(11)
2*11=22
Pls helpppp I want good grades
Answers
I believe the answer is 2.7 but I'm not sure...
Answer:
2 7/9
Step-by-step explanation:
I think this is the answer. when you have a -- its adds. So i added the 3 to the -2/9.
3. Which relation is a function?
Answers
because u can’t have more than one x coordinate but u can have more than one of the same y coordinate
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answers
You would find this by dividing the 8.60 by the 20 to get to the final answer of 0.43
Answer: 0.43
Step-by-step explanation: divide
greatest common factor.
32+44
Answers
Answer:
I'm pretty sure its 76
hope this helps
The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?
Answers
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answers
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
Given f(x) = 11 - 7x, evaluate f(-2).
Answers
Answer:
-7*-2=14+11=25
Step-by-step explanation:
if x=3 which shape has a greater perimeter
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Answer:
Quadrilaterial 1
Step-by-step explanation:
Factor the following expression :x3 + x2
Answers
Answer:
x^2(x+1)
Plz let me know if im wrong!!!
Pls help 2n+8>12 ............................................................
Answers
Given:
The inequality is
[tex]2n+8>12[/tex]
To find:
The solution of the given inequality.
Solution:
We have,
[tex]2n+8>12[/tex]
Subtract 8 from both sides.
[tex]2n+8-8>12-8[/tex]
[tex]2n>4[/tex]
Divide both sides by 2.
[tex]\dfrac{2n}{2}>\dfrac{4}{2}[/tex]
[tex]n>2[/tex]
It means, the value of n is greater than 2.
Therefore, the solution of given inequality is n > 2.
1)
Bill and John competed in the “Shot Put" event in their school's track
meet. Bill threw the shot 21 feet and 6 inches, while John threw the
shot 17 feet and 4 inches. How much greater was Bill's throw than
John's?
Answers
Answer:
4 feet and 2 inches
Step-by-step explanation:
First, find the difference between the number of feet in their throws:
21 - 17
= 4 feet
Since Bill's throw had 6 inches while John had 4 inches, subtract 2 inches from the 4 feet that we calculated earlier.
This gets us 4 feet and 2 inches, since there are 12 inches in a foot.
So, Bill's throw was 4 feet and 2 inches greater than John's.
Write a linear function f with f(5)=7 and F(-2)=0.
Answers
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
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The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?
Answers
Answer:
[tex]h(t) = 10 + 5t[/tex]
70 feet
Your height in 5 seconds is 35 feet
Step-by-step explanation:
From the question, we understand that:
[tex]Initial\ Height = 10[/tex]
[tex]Rate = 5[/tex] per second
Solving (a): Equation for h(t)
This implies that the height at t seconds and is calculated as thus:
[tex]h(t) = Initial\ Height + Rate * t[/tex]
Where t represents seconds
Substitute values for Initial Height and Rate
[tex]h(t) = 10 + 5* t[/tex]
[tex]h(t) = 10 + 5t[/tex]
Solving (b): Height in 12 seconds
This implies that:
[tex]t = 12[/tex]
Substitute 12 for t in [tex]h(t) = 10 + 5t[/tex]
[tex]h(12) = 10 + 5 * 12[/tex]
[tex]h(12) = 10 + 60[/tex]
[tex]h(12) = 70[/tex]
Hence, your height will be 70 feet
Solving (c): h(5) = 35 means?
Using the illustration in (b) above;
This means that your height in 5 seconds is 35 feet
