Step-by-step explanation:
= 24 × 17 × 12
= 4,896 in³
= 12 × 10 × 4
= 480 in³
The volume of the figure
= 4,896 + 480
= 5,376 in³
Answer: 2/9
Step-by-step explanation:
Simplify the expression.
Answer:
Step-by-step explanation:
6 times 4 is 24 so the answer is 24
Answer:
x = 11
Step-by-step explanation:
![12x - 5 = 8x - x + 50 \\ 12x - 5 = 7x + 50 \\ 12x - 5 - 7x = 7x + 50 - 7x \\ 12x - 7x - 5 = 50 \\ 5x - 5 = 50 \\ 5x - 5 + 5 = 50 + 5 \\ 5x = 55 \\ x = 11](https://tex.z-dn.net/?f=12x%20-%205%20%3D%208x%20-%20x%20%2B%2050%20%5C%5C%2012x%20-%205%20%3D%207x%20%2B%2050%20%5C%5C%2012x%20-%205%20-%207x%20%3D%207x%20%2B%2050%20-%207x%20%5C%5C%2012x%20-%207x%20-%205%20%3D%2050%20%20%5C%5C%205x%20-%205%20%3D%2050%20%5C%5C%205x%20-%205%20%2B%205%20%3D%2050%20%2B%205%20%5C%5C%205x%20%3D%2055%20%5C%5C%20x%20%3D%2011)
and check:
![12(11) - 5 = 8(11) - (11) + 50 \\ 132 - 5 = 77 + 50 \\ 127 = 127](https://tex.z-dn.net/?f=12%2811%29%20-%205%20%3D%208%2811%29%20-%20%2811%29%20%2B%2050%20%5C%5C%20132%20-%205%20%3D%2077%20%2B%2050%20%5C%5C%20127%20%3D%20127)
The answer is 40°
i will tell you how,
Total angle sum of any triangle is 180°
∠A + ∠B + ∠E = 180°
70° + 80° + ∠E = 180°
solve for ∠E
∠E = 30°
Now solve use ∠BDE,
∠B + ∠D + ∠E = 180°
20° + 90° + 30° + x = 180° (in triangle DEB, ∠E = 30 + x ) (∠D is 90°)
solve for x
there fore, x = 40°