Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be 
.
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are 
and 
.
The ratio of 
is 
.
The reason why it ideally should be and not 
is because the question states 
, which mentions 
first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Answer:
36
Step-by-step explanation:
6(4+2)
6(6)
36
A 90 degree clockwise rotation will leave the sides with the same length,
will leave the angles the same , it will only change the position of the triangle.
The rotated triangle will be congruent to the original triangle
Answer:
Step-by-step explanation:
1. Use the distributive property
5 ( x - 7 ) = 6 ( x + 2 ) → 5x - 35 = 6x + 12
2. Subtract 5x from both sides of the equation
5x - 5x -35 = 6x - 5x + 12 → -35 = x + 12
3. Subtract 12 from both sides
-35 - 12 = x + 12 - 12 → -47 = x
4. So, the answer is
