(30 points to best answer! ) the measure of ∠2=8x+10 and the measure of ∠4=42+6x find the measure of ∠4

Final answer is ∠4=138.

Step-by-step explanation:

Given that the measure of ∠2=8x+10 and the measure of ∠4=42+6x

Now we need to find about what is the measure of ∠4.

From given diagram we see that ∠4 and ∠2 are vertically opposite angles.

we know that vertically opposite angles are always equal so we can write:

∠4 = ∠2

8x+10 = 42+6x

8x-6x = 42-10

2x = 32

divide both sides by 2

x=16

Now plug x=16 into ∠4=42+6x to find the measure of ∠4.

∠4=42+6x =42+6*16 =42+96 =138

Hence final answer is ∠4=138.

start with a line segment pq that we will copy. mark a point r that will be one endpoint of the new line segment. set the compasses' point on the point p of the line segment to be copied. adjust the compasses' width to the point q. the compasses' width is now equal to the length of the line segment pq.

step-by-step explanation:

c: y > - 1/6x + 1

step-by-step explanation:

dashed line - meaning this < or > also not equal

solid line - meaning this < or > also equal

your answer is c because y > means up & it's shaded up, but y < means down

hope this ! : )