Answer:
The length of the side is 16 in. Therefore the perimeter is 100 in. The area is 368.
Step-by-step explanation:
For the area, separate into smaller shapes. Take the area of the two cubes, plus the area of the big rectangle.
So, 8x8=64
24x10=240
8x8=64
Add all those up and you get 368 and the area.
Hope this helps
Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25
Answer:
<h2>MN</h2>
Step-by-step explanation:
If ΔLMN ≅ ΔXYZ, then corresponding angles and corresponding segments are congruent:
∠L ≅ ∠X
∠M ≅ ∠Y
∠N ≅ ∠Z
and
LM ≅ XY
MN ≅ YZ
LN ≅ XZ
Answer/Step-by-step explanation:
9. 17x = 16x + 5 (alternate exterior angle)
17x - 16x = 5
x = 5
Measure of bolded angle = 17x = 17 * 5 = 85
10. 21x - 6 = 20x (corresponding angels)
21x - 20x = 6
x = 6
Measure of bolded angle = 20x = 20(6) = 120
11. (x + 95) + (x + 105) = 180 (linear pair angles)
2x + 200 = 180
2x = 180 - 200
2x = -20
Divide both sides by 2
x = -10
Measure of bolded angle = x + 105 = -17 + 105 = 88°
12. 12x - 4 = 11x + 3 (vertical angles)
Collect like terms
12x - 11x = 4 + 3
x = 7
Measure of bolded angle = 11x + 3 = 77 + 3 = 80°