The improper fraction for 4 can be anything as long as when the numerator is divided by the denominator it equals 4, so for example 8/2
M∠H = 180° - ( 65° + 35° ) = 180° - 100° = 80°
The Law of sines:
h / sin H = g / sin G
10 / sin 80° = g / sin 35°
10 / 0.9848 = g / 0.5736
g = ( 10 · 0.5736 ) : 0.9848 = 5.736 : 0.9848 = 5.8245 ≈ 5.8
Answer: g = 5.8
Answer:
44 questions
Step-by-step explanation:
Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.
Let x = total number of questions in part 1
4/5x = 16
Divide both sides by 4/5
x = 16 ÷ 4/5
= 16 × 5/4
= 20
x = 20
There are 20 questions in part 1
She got 16 questions correct, which was 2/3 of the number of part 2 questions.
Let y = number of questions in part 2
2/3y = 16
Divide both sides by 2/3
y = 16 ÷ 2/3
= 16 × 3/2
= 24
y = 24
There are 24 questions in part 2
The total number of questions on Stephanie’s exam = part 1 + part 2
= 20 + 24
= 44 questions
Answer:
m=1
Step-by-step explanation:
-10+8m=-2(7m-3)+6
-10+8m=-14m+6+6
-10+8m=-14m+12
-10+22m=12
22m=22
m=1