Step-by-step explanation:
25 questions, 2 points each.
that means there were 25×2 = 50 points in total.
Gideon got 42 out of the 50.
100% = 50
1% = 100%/100 = 50/100 = 0.5
42 is how many % ? as many as 1% (0.5) fits into 42.
so,
42/0.5 = 42×2 = 84%
he scored 84%.
The answer should be 12/5
Answer:
∠H = 120
Step-by-step explanation:
See the attached figure
HALT is a parallelogram
So, angles H and T are supplementary.
∠H = 2x + 60 and ∠T = x + 30
∠H + ∠T = 180
∴ 2x + 60 + x + 30 = 180
∴ 3x + 90 = 180
∴ 3x = 180 - 90 = 90
∴ x = 90/3 = 30
So, ∠H = 2x + 60 = 2 * 30 + 60 = 60 + 60 = 120
Observe the given figure.
Given: 
To prove: 
Statement
1. 
Reason: Given
2. 
Reason: Substitution
3.
are alternate interior angles.
Reason: Definition of alternate interior angles
4. 
Reason: If alternate interior angles are equal, then the lines are parallel.
Answer:
x = 19.5 or 19 1/2
Step-by-step explanation:
cos 41 = 14.7/x
x = 19.5