Answer:
x = 11
∠B = 80°
Step-by-step explanation:
∠A =∠B because they are corresponding angles
8x - 8 = 5x + 25
3x = 33
divide both sides of the equation by 3:
x = 11
∠B = 5(11) + 25 = 80°
Answer:
segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13
Step-by-step explanation:
Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).
1. Reflection over x = 1 maps vertices A, B and C as follows
- A(-3,3)→A'(5,3);
- B(1,-3)→B'(1,3);
- C(-3,-3)→C'(5,-3).
2. Dilation by a scale factor of 2 from the origin has the rule
(x,y)→(2x,2y)
So,
- A'(5,3)→A''(10,6);
- B'(1,3)→B''(2,6);
- C'(5,-3)→C''(10,-6)
See attached diagram for details
Note that

so

2/3 c = d
multiply both sides by 3/2:-
c = (3/2) d
Answer:
B
Step-by-step explanation:
x/5 + 2/3x
first you multiply both denominator.
this will be you denominator unless you can simplify it.
denominator=5 x 3X = 15X
now you times both denominator with the opposite numerator.
e.g. 5 x 2 and X x 3X.
=10 and 3X^2
now you and both numerators which is 3X^2 + 10
so the answer is b