9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
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<u><em>Additional comment</em></u>
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
Answer:
x=94
Step-by-step explanation:
I hope I'm correct. Here's my explanation: x+9 and 2x-111 would equal 180, hence the line (supplementary). So x+9+2x-111=180
x=94
hope this helps.
Answer:
G. y=2x-5
Step-by-step explanation:
First, find the slope from 2x-y=-3
-y=-2x-3
y=2x+3, which means that the slope is 2
Since it is parallel, the given equation and the line we are finding has the same slope.
let y=mx+b, where m=2, y=5, x=5
5=2(5)+b
5=10+b
-5=b
Thus, y=2x-5