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Korolek [52]
2 years ago
10

2x + 19 and x + 23 are alternate exterior angles. What is the value of x? *

Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

Answer:

4

Step-by-step explanation:

2x+19=x+23

We simplify the equation to the form, which is simple to understand

2x+19=x+23

We move all terms containing x to the left and all other terms to the right.

+2x-1x=+23-19

We simplify the left and right sides of the equation.

+1x=+4

We divide both sides of the equation by 1 to get x.

x=4

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Angela and Michelle shared some money in the ratio 4: 9 then Angela gave Daniel half her share.Michelle gave Daniel a third of h
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Using a system of equations, it is found that £52 was originally shared.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: Angela's share.
  • Variable y: Michelle's share.
  • Variable z: Daniel's share.

Angela and Michelle shared some money in the ratio 4: 9, hence, considering t as the total:

  • x = \frac{4t}{13}.
  • y = \frac{9t}{13}

Angela gave Daniel half her share.Michelle gave Daniel a third of her share. Daniel was given a total of £20, hence:

\frac{x}{2} + \frac{y}{3} = 20

\frac{4t}{26} + \frac{9t}{39} = 20

\frac{12t + 18t}{78} = 20

30t = 20 x 78

t = 20 x 78/30

t = £52.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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FIND EF I WILL GIVE BRAINLIEST
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