Step-by-step explanation:
1: change 'sin²A' and 'cos²B' into (1-cos²A)and (1-sin²A) respectively.
2:open the brackets and put signs accordingly.
3: cancel (-1) and (+1).
4: remaining is your answer.
Answer:
x=50
Step-by-step explanation:
This is a vertical angle, so the angle on top and the bottom are equal
[2(x+10)]=3x-30
2(x+10)=3x-30
2x+20=3x-30
50=x
2^2 • 3 • 17 because 204 is not a prime number. Hope this helps.
Answer:
3x+7=10x+17
Step-by-step explanation:
1.9
10x
27x
Answer: s, v, w, & x = 13 y = 20 z = 20 + 13√3
<u>Step-by-step explanation:</u>
First, you need to understand the side lengths of each special triangle in the drawing.
A 45°- 45°- 90° triangle has corresponding sides of a - a - a√2
A 30°- 60°- 90° triangle has corresponding sides of b - b√3 - 2b
The hypotenuse of the 45-45-90 triangle is 13√2, so its legs are 13.
So A F = 13 → s = 13 and w = 13
FB = 13 → x = 13
EC = 13 → v = 13
Since the x-value of C is 20, then the x-value of E is also 20 → y = 20
ED is opposite of the 60° angle of the 30-60-90 triangle so ED is EC√3. Since EC = 13, then ED = 13√3.
AE + ED = AD
20 + 13√3 = AD → z = 20 + 13√3