Perimeter = Side + Side + Side
Side 1 = x
Side 2 = x + 7
Side 3 = 2x-7
Plug into the equation:
84 = x + (x + 7) + (2x-7)
84 = x + x + 7 + 2x - 7
Combine like terms:
84 = 4x
Divide by 4 and solve for x:
21 = x
Side 1 = 21
Side 2 = 28
21+7=28
Side 3 = 35
21(2) - 7 = 42 - 7 = 35
The SAS similarlity theorem is the type of similarlity that show that two triandles are similar by showing that two of the sides are similar with the angle between the two sides also similar.
Thus, given that <span>segment ST and segment VW are congruent, and also from the image it can be seen that angle S is congruent to angle V.
Thus, to show that </span>ΔSTU ≅ ΔVWX, we have to show that <span>US≅XV.
There</span>fore, the <span>step that could help her determine if ΔSTU ≅ ΔVWX by SAS is<span> US≅XV</span></span>
There really isn't any distributing done, as the perimeter is the total length of the shape, and since this is a rectangle it has two two equal sides, 7+7=14 and 13+13=26, 14+26=40 inches
Answer
The last one
y+2=-(x+8)
I could be wrong (and I apologize if I am), but I believe these are the answers to your questions.
1.) Angle 4
2.) Angle 6
3.) Angle 10
4.) 30 degrees
5.) 48 degrees
6.) 55 degrees
7.) 68 degrees
8.) 148 degrees
9.) 102 degrees
10.) 38 degrees
If I turn out to be correct, then I am happy I was able to help you.
