The measures of complementary angles add up to 90 degrees. Angles A and B therefore add up to 90 degrees.
To find the value of x, set the sum of (the measures of) A and B to 90 (degrees), and solve algebraically.
m∠A + m∠B = 90°
(3x + 5)° + (2x - 15)° = 90°
5x - 10 = 90
5x = 100
x = 20
Then, plug the value of x back into each expression to find the measures of angles A and B.
m∠A = (3x + 5)°
m∠A = (3(20) + 5)°
m∠A = (60 + 5)°
m∠A = 65°
m∠B = (2x - 15)°
m∠B = (2(20) - 15)°
m∠B = (40 - 15)°
m∠B = 25°
You can check to make sure that the angles are complementary by adding them together. Their measures should equal to 90°.
65° + 25° = 90°
f` ( x ) = 6 x + 12
6 x + 12 = 0 6 x = - 12 x = - 2 f ( - 2 ) 0 12 - 24 + 16 = 4 f ( x ) min = 4 g` ( x ) = 4 cos ( 2 x - π ) 4 cos ( 2 x - π ) = 0 cos ( 2 x - π ) = 0 2 x - π = 3π / 2 2 x = 5π /2 x = 5π/4 g ( 5π/4 ) = 2 sin ( 5π/2 - π ) + 4 = 2 ( sin 3π/2 ) + 4 = -2 + 4 = 2 g ( x ) min = 2
You just take the answer from cos and square it. So your answer should be 3/2
#13
Letter D
We don't know if 5 = 6 or
6 = 8
#14
You need slope and y- intercept. It is a negative slope because the line is going down from left to right. Count rise over run.
M = - 4/6 = -2/3
If the line continued to the y axis it would cross at 10.
y = -2/3x + 10
