Answer:
1. False
2. True
3. True
4. True
Step-by-step explanation:
Answer:
- Part 2 - ∠EGF = 105°
- Part 3 - ∠D = 65
<h3>________________________________________________</h3>
Step-by-step explanation for Part-2:
<u>We know that:</u>
- ∠EFG = 32°
- ∠AEG = 137°
- ∠EFG + ∠FGE + ∠GEF = 180°
<u>Work:</u>
- ∠EFG + ∠FGE + ∠GEF = 180°
- 32 + ∠FGE + (180 - 137) = 180°
- => 32 + ∠FGE + 43 = 180°
- => 75 + ∠FGE = 180°
- => ∠FGE = 180 - 75
- => ∠FGE = ∠EGF = 105°
Hence, the measure of ∠EGF is 105°.
<h3>________________________________________________</h3>
Step-by-step explanation for Part-3:
<u>We know that:</u>
- CD = CA
- This triangle is an isosceles triangle.
- ∠D = ∠A
<u>Work:</u>
- 50 + ∠D + ∠A = 180
- => ∠D + ∠D = 130
- => 2∠D = 130
- => ∠D = 130/2
- => ∠D = 65
Hence, the measure of ∠D is 65°
<h3>________________________________________________</h3>
Answer:
The volume for the sphere is 904.78
Steps to solve:
1 + 4x = -5 + 7x
~Subtract 1 to both sides
4x = -6 + 7x
~Subtract 7x to both sides
-3x = -6
~Divide -3 to both sides
x = 2
Best of Luck!
