Answer:
68° and 112°
Step-by-step explanation:
Supplementary angles sum to 180°
let the smaller angle be x then the larger angle is x + 44 , then
x + x + 44 = 180 , that is
2x + 44 = 180 ( subtract 44 from both sides )
2x = 136 ( divide both sides by 2 )
x = 68
Smaller angle = 68° and
larger angle = x + 44 = 68 + 44 = 112°
Answer:
∠S = 21.10°
∠M = 79.45°
PM = 9.16
Step-by-step explanation:
Here Pythagorean theorem and trigonometry suffice to solve our problem.
From the Pythagorean theorem we get:
and

We solve for
in the second equation and get:


Now since

Therefore

and

And finally again from the Pythagorean theorem:


Thus,
∠S = 21.10°
∠M = 79.45°
PM = 9.16.
Answer:
$34.125
Step-by-step explanation:
5% of 32.50 is 1.625
1.625+32.50=34.125
$34.125
Answer:
(-4, 0) and (1, 0)
Step-by-step explanation:
"Solutions" in this case have the same numeric values as do "x-intercepts."
If x = -4 is a "solution" of this quadratic equation, then (-4, 0) is the corresponding x-intercept. Likewise, if x = 1 is a solution, then (1, 0) is the corresponding x-intercept.