For lines c, d, and e.
A.) If 23 = 5x-1, and 25 = 3x + 11, then x=
B.) If 23 = 5x - 1, and 25 = 3x + 11, then the measure of 23 =
C.) If 23 = 5x-1, and 25 = 3x + 11, then the measure of Z1 =
D.) If 23 = 5x-1, and 25 = 3x + 11, then the measure of 22 =

A) x = 6

B) ∠3 = 29°

C) ∠1 = 29°

D) ∠2 = 151°

Step-by-step explanation:

Given line e // line d and line c is transversal

Part A: If ∠3 = 5x-1 and ∠5 = 3x + 11 , find x

∠3 = ∠5 because alternate angles are congruent.

So, 5x - 1 = 3x + 11     Combine like terms

5x - 3x = 11 + 1

2x = 12

x = 6

Part B: If ∠3 = 5x-1 and ∠5 = 3x + 11  , find ∠3

∠3 = ∠5 because alternate angles are congruent.

So, 5x - 1 = 3x + 11     Combine like terms

5x - 3x = 11 + 1

2x = 12

x = 6

∴ ∠3 = 5x - 1 = 5 * 6 - 1 =30 - 1 = 29°

Part C: If ∠3 = 5x-1 and ∠5 = 3x + 11  , find ∠1

∠3 = ∠1 because vertically opposite angles are congruent

∠3 = 29°

∴∠1 = 29°

Part D: If ∠3 = 5x-1 and ∠5 = 3x + 11  , find ∠2

The angles 2 and 3 are supplementary angles.

∠3 = 29°

∠2 + ∠3 = 180°

∠2 = 180° - ∠3 = 180° - 29° = 151°

∴ ∠2 = 151°

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!