Answer:
115°
Step-by-step explanation:
Knowing that the sum of all interior angles of any triangle is 180 degrees, we can find the measurement of the missing angle of the triangle. The calculation is 180 - 75 - 40 = 65. Then, notice that the blue angle and the missing angle are supplementary (linear; add up to 180 degrees). So we can find the blue angle's measurement by 180 - 65, so the answer is 115 degrees.
answer:
a. 16.
step-by-step explanation:
32 = 2*2*2*2*2
48 = 2*2*2*2*3
picking out the common factors:
gcf = 2*2*2*2 = 16.
Answer:
The present value of K is,
Step-by-step explanation:
Hi
First of all, we need to construct an equation system, so


Then we equalize both of them so we can find 

To solve it we can multiply
to obtain
, then we have
.
This leads to a third-grade polynomial
, after computing this expression, we find only one real root
.
Finally, we replace it in (1) or (2), let's do it in (1) 
Use the Pythagorean theorem:
2)

4)
