Answer:
Step-by-step explanation:
∠ABC + ∠CBD = 90 so filling in the expressions for these angles:
(2x + 14) + (x + 7) = 90 and
3x + 21 = 90 and
3x = 69 so
x = 23. To find the measure of angle ABC in particular, we sub in a 23 for x:
x + 7 --> 23 + 7 = 30°, the last choice there.
(f×g)(x) = (fg)(x)
(f×g)=(3x²+5)× (x-2)
use the foil method:
(fg)(x)=3x³-6x²+5x-10
so it is C which is correct
Answer:
x - 8 = 0
Step-by-step explanation:
Since, the cube root of a number is 2.
Let the number be x.
Therefore,
![\sqrt[3]{x} = 2 \\ cubing \: both \: sides \\ {( \sqrt[3]{x})}^{3} = {(2)}^{3} \\ x = 8 \\ x - 8 = 0](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%7D%20%20%3D%202%20%5C%5C%20%20cubing%20%5C%3A%20both%20%5C%3A%20sides%20%5C%5C%20%20%7B%28%20%5Csqrt%5B3%5D%7Bx%7D%29%7D%5E%7B3%7D%20%20%3D%20%20%7B%282%29%7D%5E%7B3%7D%20%20%5C%5C%20%20%20x%20%3D%208%20%5C%5C%20%20x%20-%208%20%3D%200)
X=72 cause 180-(51+57) so 180-108 and the triangle is acute cause all of the angle measures are below 90 degrees.
So your answer is
x=72
Acute Triangle