Question

Please help, giving all my points. Geometry

Answer 1

• Q7. 240
• Q8. 25°
• Q9. 70°

Explanation:

Q7.

The shortest sides are corresponding in similar triangles

One has side length of 5, another one is 20

Scale factor is:

• 20/5 = 4

Since perimeter is sum of 3 sides and each side has 4 times difference, the perimeter will have 4 times the difference. So it is:

• 60*4 = 240

Q8.

Dilation doesn't affect angle measures. A and W are corresponding angles and they measure the same.

• m∡A = m∡W
• x + 20 = 5x
• 5x - x = 20
• 4x = 20
• x = 5

m∡W = 5x = 5*5 = 25°

Q9.

Dilation doesn't affect angle measures. B and M are corresponding angles and they measure the same.

• m∡B = m∡M
• 2x + 30 = 3x + 10
• 3x - 20 = 30 - 10
• x = 20

m∡B = 2x + 30 = 2*20 + 30 = 70°