All categories

3 years ago

Set up and solve an equation to find the measure of each missing angle.

Mathematics

1 answer:

andrew11 [14]3 years ago

6 0

Answer:

<A = 76°

<B = 63°

<C = 41°

Plug in the value of x

<C = 34 + 7

<C = 41°

Step-by-step explanation:

$63 + (2x + 8) + (x + 7) = 180$ (sum of ∆)

Solve for x

$63 + 2x + 8 + x + 7 = 180$

Add like terms

$78 + 3x = 180$

Subtract 78 from each side

$78 + 3x - 78 = 180 - 78$

$3x = 102$

Divide both sides by 3

x = 34

<A = 2x + 8

Plug in the value of x

<A = 2(34) + 8 = 76°

<B = 63°

<C = x + 7

Plug in the value of x

<C = 34 + 7

<C = 41°

You might be interested in

PLEASE ANSWER WITH AN EXPLANATION! THANK YOU

lubasha [3.4K]

Answer:

$\large\boxed{A=153\ cm^2}$

Step-by-step explanation:

Look at the picture.

We have

square with side length a = 9

trapezoid with base lengths b₁ = 9 and b₂ = 6 and the height length h = 6

right triangle with legs lengths l₁ = 3 + 6 = 9 and l₂ = 6

The formula of an area of a square

$A=a^2$

Substitute:

$A_I=9^2=81\ cm^2$

The formula of an area of a trapezoid:

$A=\dfrac{b_1+b_2}{2}\cdot h$

Substitute:

$A_{II}=\dfrac{9+6}{2}\cdot6=\dfrac{15}{2\!\!\!\!\diagup_1}\cdot6\!\!\!\!\diagup^3=(15)(3)=45\ cm^2$

The formula of an area of a right triangle:

$A=\dfrac{l_1l_2}{2}$

Substitute:

$A_{III}=\dfrac{(9)(6)}{2}=\dfrac{54}{2}=27\ cm^2$

The area of the shape:

$A=A_I+A_{II}+A_{III}\\\\A=81+45+27=153\ cm^2$

8 0

3 years ago

Help school is so bad

V125BC [204]

Answer:

7.A (5,1)

B(5,7)

8. D (0,6)

Step-by-step explanation:

7. One vertex is at (5,4)

Move 3 units either direction in x

(5-3,4) = (2,4)

(5+3,4) = (8,4)

Or move 3 units in the y direction

(5,4+3) = (5,7)

(5,4-3) = (5,1)

If x is less than 2 or greater than 8 it is too far from the one vertex we are given

If y is less than 1 or greater than 7 it is too far away from the one vertex we are given

C cannot be a vertex since y =9

D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away

E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away

8. The center is (0,0)

The points have to add to a radius of 6

r^2 = 36

The sum of the x^2 and y^2 = 36

3^2 +0^2 = 9

4^2 +2^2 = 16+4 = 20

5^2 +3^2 = 25+9 = 34

0^2+6^2 =36 yes for D

4^2 +4^2 =16+16 = 32

1^2+5^2 = 26

8 0

3 years ago

What is the area of the triangle? 2 3 6

nexus9112 [7]

Answer:

Step-by-step explanation:

2*3*6=12

12/2=6

formula= b*h/2

3 0

3 years ago

Read 2 more answers

Our own number system, 0-9, is based on the ______ system.

r-ruslan [8.4K]

It is the arabic system of numbers. The Roman was the one with Xes and Vs and Is and many other types of markings. Arabs used the 1-9 system, while 0 was taken from the hindu system as it indicates an empty space, so we got the 0-9 system that is commonly used now.

4 0

3 years ago

Find the equation of the line passing through the points (6,3) and (-4,3) Y=

Molodets [167]

${ \qquad\qquad\huge\underline{{\sf Answer}}}$