Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:

Solve for x


Subtract 8x from both sides


Add 11 to both sides


Divide both sides by 2


2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 
Given that:


Since O is the origin, then:

This means that:

So, we have:

Collect like terms


Hence, complex number Z3 is 
Read more about complex numbers at:
brainly.com/question/18509723
Answer:
A. 25 < (x – 1)² + y² and 16 > x² + (y + 4)²
Step-by-step explanation:
the solutions are in the outside of the bigger circle, but inside of the smaller circle
Answer:2.87
Step-by-step explanation:sin =opp/hyp
Sin 35=ac/5
Cross multiply
Sin 35 x 5 = ac
0.5736 x 5 =ac
2.868=ac
Ac=2.87
Answer:
a segment cd only
Step-by-step explanation:
segment cd is the only line that passes through segment ab at a right angle