Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F
Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24
Subtract both sides of the equation by 3x
6x + 12 = 24
Subtract 12 from both sides
6x = 12
Divide both sides by 6
x = 2
This should be your answer. Have an awesome day! :)
Answer:
-9
Step-by-step explanation:
Replace x with -7 in the expression:
x^2 + 5 / x + 1
-7^2 + 5 / -7 + 1
49 + 5 / -6
54/-6
simplify the fraction
9/-1 = -9
The area of a triangle is given by the formula

, where B is the base and h is the height. We can rearrange this formula to solve for B.

.
We plug in the given area, 640 square millimeters, and the given height, 32 millimeters.

.
40 mm is our final answer.
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
Length: 10 cm
Width: 5 cm
Step-by-step explanation: