Answer:
x = 9
Step-by-step explanation:
Given
2(x + 5) = 3x + 1 ← distribute left side
2x + 10 = 3x + 1 ( subtract 2x from both sides )
10 = x + 1 ( subtract 1 from both sides )
9 = x
Answer:
Step-by-step explanation:
Answer C is correct: Angle T is 95°.
Because the two horiz. lines are parallel, the "vertical angle" of angle T is equal to the "corresponding angle" of 95°.
The answer is the third answer choice, I and II only.
This is because both of those motions are rigid since they are just reflections and III is not a rigid motion since it is a dilation, the second triangle is bigger than the first.
Hope this helps!
Answer:
C
Step-by-step explanation:
F must be on -4
H must be on 4 (because it is -f=-(-4)=-1•-4=4)
Answer:
0
1
Step-by-step explanation:
First question:
You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.
The sine function can never equal 2, so there is no triangle in this case.
Answer: no triangle
Second question:
You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.
One triangle exists for sure. Now we see if there is a second one.
Now we look at the supplement of angle C.
m<C = 52.5°
supplement of angle C: m<C' = 180° - 52.5° = 127.5°
We add the measures of angles B and the supplement of angle C:
m<B + m<C' = 63° + 127.5° = 190.5°
Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.
Answer: one triangle