Question

1. find the value of x. give only the number. answer 4 numeric 2 points 12.

Explanation:

Step1: Use the mid - segment theorem

The mid - segment of a triangle is parallel to the third side and half its length.
For the first triangle:
$$5x - 2=2\times4$$

Step2: Solve the equation

$$5x-2 = 8$$
$$5x=8 + 2$$
$$5x=10$$
$$x = 2$$

For the second triangle:

Step1: Use the mid - segment theorem

$$x + 19=\frac{1}{2}(x + 29)$$

Step2: Solve the equation

Multiply both sides by 2:
$$2(x + 19)=x + 29$$
$$2x+38=x + 29$$
$$2x-x=29 - 38$$
$$x=-9$$

Answer:

For the first problem: \(2\)
For the second problem: \(-9\)