Given the figure below, find the values of x and z.
x =
(13x + 30)
z =
(12x + 50)

x = 4

z = 92°

Step-by-step explanation:

From the picture attached,

Two straight lines are intersecting each other at a point so that,

(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]

25x + 80 = 180

25x = 100

x = 4

Therefore, measure of (13x + 40)° = 13×4 + 40

                                                        = 52 + 40

                                                        = 92°

Since, z° = (13x + 40)° [Vertically opposite angles]

Therefore, z° = 92°

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,