Answer:
7/12
Step-by-step explanation:
Simplification is something we can do if both the numerator and denominator are divisible by the same number.
In 14/24, both numbers are divisible by 2.
So, we divide both the numerator and denominator by 2. We get 7/12.
Therefore 14/24 = 7/12.
Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
Answer:
2 books
Step-by-step explanation:
10 + 5x = 16 + 2x
- 2x - 2x
10 + 3x = 16
-10 -10
3x = 6
/3 /3
<u>x = 2</u>
Answer:
Step-by-step explanation:
- 7(2m-1)-35m=65(4-3m)
- 14m - 7 - 35m = 260 - 195m
- -21m + 195m = 260 + 7
- 174m = 267
- m = 267/174
Answer:
X= 18
Step-by-step explanation:
18-18=0
x=18
