Question

PLEASEE help I’m stuck on this

Answer 1

x = √149

Explanation:

Compartmentalize the odd figure into a rectangle (with sides 3 and 7) and a triangle (with sides 10 and x). Now, that you have a triangle, you can use the rectangle underneath to find the bottom side of the triangle--it is 7. The triangle that has been formed is a right triangle, so we can use the Pythagorean Theorem to find x, which is the hypotenuse.

10² + 7² = x²

100 + 49 = x²

149 = x²

√149 = x

Answer 2

7√2

Explanation:

Remark

Draw another line parallel to 7.

Move to the other end of 3

that makes the vertical leg on the left 10 - 3 = 7

You now have a smaller right triangle.

Equation

a = 7

b = 7

c = x

Solution

x^2 = 7^2 + 7^2

x^2 = 49 + 49

x^2 = 98

x^2 = 7 * 7 *2

sqrt(x^2) = sqrt(7 * 7 * 2)

The rule about square roots is for every pair of factors you can take one out of the square root sign and throw the other one away.

x = 7 sqrt(2)