Answer please
Solve for x

x = 9 1/3

Step-by-step explanation:

We can use the ratios of similar triangles to solve

x                  7

=

x+8                  13

Using cross products

13x = 7(x+8)

Distribute

13x = 7x+56

Subtract 7x from each side

13x-7x = 7x+56-7x

6x = 56

Divide each side by 6

6x/6 = 56/6

x= 28/3

x = 9 1/3

Part A: Triangle ABD is similar to Triangle ACD

Part B: Using HL Theorem, we can determine these 2 right triangles to be similar

Part C: DA = 3

Step-by-step explanation:

We can use HL (Hypotenuse-Leg) Theorem to help determine similarity. Since DA perpendicular bisects BC, we know that it forms the altitude and forms right triangles, which gives us legs and a hypotenuse,

To find DA, we are given right triangle ACD. We know that one leg, CD, is equal to 4. We also know that 3-4-5 is a Pythagorean Triple, so DA would be 3 and AC would be 5.