Answer:
-20
Step-by-step explanation:
First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.
<span>An obtuse angle is any angle greater than 90 degrees and less than 180 degrees.
We have 2 angles, one of x degrees, and the other of 2x degrees. Their sum is 3x degrees, and this must be in the range that defines an obtuse angle. Therefore:
90 < 3x < 180, and dividing all by 3, we get
30 < x < 60, and multiplying by 2 gives
60 < 2x < 120, which the range of possible degrees for the larger angle.</span>
<span>ΔPQR is a right triangle
∡Q is a right angle. ⇒⇒⇒ ∡Q = 90°
QR measures 33 point 8 ⇒⇒⇒ QR = 33.8 ⇒ leg of the triangle
PR measures 57 point 6 ⇒⇒⇒ PR = 57.6 ⇒ hypotenuse of the triangle
we can find ∡P using sin function
sin P = QR/PR = 33.8/57.6 = 0.5868
∴ ∡P =

≈ 35.93°</span>
Answer: x=3
(2/3)^x (3/2)^2x = 27/8
(3/2)^-x (3/2)^2x = 27/8
(3/2)^-x+2x = 27/8
(3/2)^x = 27/8
(3/2)^x = 3^3/2^3
(3/2)^x = (3/2)^3
x=3