You can use the ASA postulate which means angle side angle. if 2 angles and the including side are congruent to the corresponding parts of another triangle then the triangles are congruent. hope that helps :)
Answer:
+ 5°
Step-by-step explanation:
Given,
Good morning temperature = -15°
Raise in temperature = 20°
Afternoon temperature = -15° + 20°
= + 5°
Hence, temperature in after noon is equal to + 5°.
Givens
y = 2
x = 1
z(the hypotenuse) = √(2^2 + 1^2) = √5
Cos(u) = x value / hypotenuse = 1/√5
Sin(u) = y value / hypotenuse = 2/√5
Solve for sin2u
Sin(2u) = 2*sin(u)*cos(u)
Sin(2u) = 2(
) = 4/5
Solve for cos(2u)
cos(2u) = - sqrt(1 - sin^2(2u))
Cos(2u) = - sqrt(1 - (4/5)^2 )
Cos(2u) = -sqrt(1 - 16/25)
cos(2u) = -sqrt(9/25)
cos(2u) = -3/5
Solve for Tan(2u)
tan(2u) = sin(2u) / cos(2u) = 4/5// - 3/5 = - 0.8/0.6 = - 1.3333 = - 4/3
Notes
One: Notice that you would normally rationalize the denominator, but you don't have to in this case. The formulas are such that they perform the rationalizations themselves.
Two: Notice the sign on the cos(2u). The sin is plus even though the angle (2u) is in the second quadrant. The cos is different. It is about 126 degrees which would make it a negative root (9/25)
Three: If you are uncomfortable with the tan, you could do fractions.

Answer:
Infinite Solutions
Step-by-step explanation:
3(5x - 4) needs to be simplified
So we multiply 5x by 3
So 3 x 5x = 15x
Then we multiply -4 by 3
3 x -4 = - 12
Put those together we get 15x - 12
The same equation as the one on the right side
So since 15x - 12 = 15x - 12, the x variable can be any number
Also a little tip:
With Forms quizzes, you can hit control + U and find the answers in the code