The new perimeter is 32 inches. You multiply the scale factor (8/7) by the original perimeter (28) which gives the answer of 32.
The two equations are vertical angles, which mean they are equal.
Set each equation to equal each other and solve for x.
3x-3 = 6(x-10)
Simplify the right side:
3x-3 = 6x-60
Subtract 3x from each side:
-3 = 3x - 60
Add 60 to each side:
57 = 3x
Divide both sides by 3:
x = 57 / 3
x = 19
Answer:
Similar triangles states the length of the corresponding sides are in proportion.
In a given similar triangles:
Labelled the diagram:
Triangle BAC and triangle DAC are similar.
then;
Corresponding sides:
AB = x units , BC = 5 units, AD = 15 units and DC = BD-BC = 8-5 = 3 units

By cross multiply we get;

Simplify:

Divide both sides by 3 we get;

Simplify:
x = 25 units
Therefore, the value of x is 25 units.
You can use the midpoint formulae as I have in the picture below
Answer:
y = 43, z = 16
Step-by-step explanation:
congruent essentially means they're the same. If you mentally map one triangle onto the other, you'll see that 43, the hypotenuse, lines up with y, and 16 lines up with z.