Answer:
-7
Step-by-step explanation:
∠D = ∠B
2x² + 7 = x² - 8x
2x² - x² + 8x + 7 = 0
x² + 8x + 7 = 0
(x + 7)(x + 1) = 0
x = -7 or -1
For x = -7, we have
x² - 8x = 49 + 56 = 105
2x² + 7 = 2*49 + 7 = 105 Right, x = -7 is an answer
For x = -1, we have
x² - 8x = 1 + 8 = 9 < 90
In the diagram angle B is > 90, so x = -1 is not the answer.
9514 1404 393
Answer:
- volume: 100π cm³ ≈ 314.2 cm³
- area: 65π cm² ≈ 204.2 cm²
Step-by-step explanation:
The other leg of the right triangle is found from the Pythagorean theorem:
r² + 12² = 13²
r = √(169 -144) = √25 = 5
The solid of revolution is a cone with a radius of 5, a height of 12, and a slant height of 13.
The volume is given by ...
V = (1/3)πr²h
V = (1/3)π(5 cm)²(12 cm) = 100π cm³ . . . volume
__
The lateral surface area is given by ...
LA = πrh . . . where h is the slant height
LA = π(5 cm)(13 cm) = 65π cm² . . . curved surface area
Answer:
you count 4 and then 5 and then 6 brah LML
Step-by-step explanation:
Answer: No, it's not possible as every triangle is 180 degrees. These angles add to 220 degrees which is more than 180.
Step-by-step explanation:
This is backed by the Triangle Sum Theorem which states that the three interior angles of any triangle add up to 180 degrees.