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pogonyaev
3 years ago
12

Answer each of the questions for the following diagram:

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

vertical angles, x=5  The angles each measure 35 degrees

Step-by-step explanation:

These are vertical angles, so they are equal

3x+20 = 10x-15

Subtract 3x from each side

3x+20-3x = 10x-13-3x

20 = 7x-15

Add 15 to each side

20+15 = 3x-15+15

35=7x

Divide by 7

35/7 = 7x/7

5 =x

The angles are equal so they each measure

3x+20 = 3(5)+20 = 15+20 = 35

The each measure 35

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5 0
2 years ago
Find the surface area of the right triangular prism (above) using its net (below).
lakkis [162]

Answer:

144 units²

Step-by-step explanation:

The net of the right triangular prism consists of 3 rectangles and 2 equal triangles

Let's solve for the area of each:

✔️Area of rectangle 1 = L*W

L = 11

W = 3

Area of rectangle 1 = 11*3 = 33 units²

✔️Area of rectangle 2 = L*W

L = 11

W = 4

Area of rectangle 2 = 11*4 = 44 units²

✔️Area of rectangle 3 = L*W

L = 11

W = 5

Area of rectangle 3 = 11*5 = 55 units²

✔️Area of the two triangles = 2(½*base*height)

base = 4

height = 3

Area of the two traingles = 2(½*4*3)

= 12 units²

✔️Surface area of the right triangle = area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of the two triangles

= 33 + 44 + 55 + 12

= 144 units²

7 0
2 years ago
How do I put these equations into vertex form?
kenny6666 [7]
I found my notes for this exact paper and I have that first problem written. hopefully this helps

4 0
3 years ago
How do you find the area of a rectangle
REY [17]

Answer: multiple the length vu the width

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Plzzzzz help I’ll mark brainlest
irina1246 [14]

When it says find g(-10) it meant when x is -10 what is the solution. By the way the solution is -110.

3 0
3 years ago
Read 2 more answers
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