Help on this anyone ?

x=8°

Step-by-step explanation:

Hi there!

We're given that angle A and B are vertical angles

Vertical angles are opposite angles that share the same vertex and are made by intersecting lines. They are congruent

so <A≅<B

We're also given that m<A=(5x-5)° and m<B=(2x+19)°

Since <A is congruent to <B, that means that (5x-5)° is equal to (2x+19)°

written as an equation, it's:

5x°-5°=2x°+19°

now solve for x

add 5 to both sides

5x°=2x°+24°

subtract 2x from both sides

3x°=24°

divide both sides by 3

x=8°

Hope this helps! :)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)