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2 years ago

Find the value of x that will make A||B Thanks for helping. :)

Mathematics

2 answers:

Allisa [31]2 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

The converse of the same side exterior angles theorem states that when two same side exterior angles are supplementary, the two lines they are on are parallel.

So that means that 5x + 9 and 3x + 11 are supplementary.

Therefore, 5x + 9 + 3x + 11 = 180.

Add like terms: 8x + 20 = 180

Subtract: 8x = 160

Divide: x = 20

DedPeter [7]2 years ago

6 0

Answer:

*To be honest, we have a bunch of ways to find x, but I'm only going to use one.

So in order for A║B, we need the outer angle of these two lines but on the opposite sides to be equal, which means:

5x + 9 = 180 - (3x + 11)

⇔ 5x + 3x = 180 - 9 - 11

⇔ 8x = 160

⇔ x = 160/8 = 20

So x is equal to 20.

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15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 +5% sales tax what was the t

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$478.80

Step-by-step explanation:

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5 0

2 years ago

the sum of the digits of a two digit number is 10. if the digits are reversed, the new number will be 18 more than the original

bearhunter [10]

t+u = 10
10u+t= 10t+u-54
Rearrange:
t+u=10
9t-9u=54
Simplify:

1st; t+u=10
2nd: t-u=6
Add 1st and 2nd and solve for t,as follows:
2t = 16
t = 8
Substitute in t+u=10 to solve for u:
8+u=10
u = 2
Original Number = 82

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