Use the side-splitter theorem to solve for x in the triangle below.
21
42

x = 8

Solution:

Side-splitter theorem:

If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.

Do cross multiplication, we get

⇒ 4 × 42 = 21x

Divide by 21 on both sides, we get

⇒ 4 × 2 = x

⇒ 8 = x

Switch the sides.

⇒ x = 8

The value of x is 8.

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.