The value of x in order for the two slats to be parallel is 6.
The measure of the indicated angle is 42°
What is an angle?
The angle is the measure of how inclined are the two surfaces, or lines with respect to each other.
For the slats to be parallel. both the given angles must be equal
So,
(3x +24)° = 7x°
Solving this expression, we get
7x -3x = 24
4x =24
x = 6°
The measure of the indicated angle is
(3x +24)° = 3x6 +24
(3x +24)° = 18+24
(3x +24)° =42°
and 7x = 7x6 =42°
Thus, the measure of the angle is 42°
Learn more about angle.
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Answer:
b ≈ 7.8
Step-by-step explanation:
using the law of sines
∠ A = 180° - 105° - 40° = 180° - 145° = 35° , then
= 
( cross- multiply )
b × sin35° = 7 × sin40° ( divide both sides by sin35° )
b = 
≈ 7.8 ( to the nearest tenth )
Answer:
she colored in 60% of the paper blue and left 40% of the paper blank
Step-by-step explanation:
Answer:
4/5
Step-by-step explanation:
I'm not exactly sure what this question is asking but I'm guessing it's asking to create a fraction with the numerator as 4 and denominator as 5.
Answer:
son = 6 mother = 48
Step-by-step explanation:
Mother = m
son = s
m = 8s
m+6 = 9/2 * (s+6)
so
2(8s + 6) = 9(s +6)
16s + 12 = 9s + 54
16s - 9s = 54 - 12
7s = 42
s = 42/7 = 6 years old
so the mother is 8s = 8*6= 48 years old
