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kodGreya [7K]
3 years ago
10

In XYZ, XY=XZ Find the length of XY of XYZ if XY=2a, YZ=3a+1, andXZ=5a-12

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer: XY = 8

Step-by-step explanation:

The diagram of the triangle XYZ is shown in the attached photo.

XY=XZ. This means that two sides of the triangle are equal. Two angles are also equal. It means that the triangle XYZ is an isosceles triangle.

Since XY=XZ, then

2a = 5a - 12

Subtracting 2a from both sides of the equation,

2a - 5a = 5a - 12 - 5a

-3a = -12

a = -12/-3

a = 4

Therefore, the length of XY is 2a = 2×4 = 8

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Answer:

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Step-by-step explanation:

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Bart's drive to the airport takes 232323 minutes. What is the latest time Bart can leave to arrive at the airport by a quarter b
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A coffee seller makes a salary of 3,500 dollars per month plus $12 commission for every $100 of coffee he sells. a case of coffe
QveST [7]

Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee

Data;

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  • commission = $12
  • amount due for commission = $100
  • cost of coffee = $25
  • total amount = $3650

<h3>Word Problem</h3>

These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.

If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.

How many coffee case are inside $100

100/25=4

This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.

If 4 coffee = $112

how many coffee will give us $3650

4coffee=$112\\x coffee = $3650\\x = \frac{4*3650}{112} \\x = 130.35

From the calculations above, he must've sold at least 131 cups of coffee to make $3650.

Learn more on word problems here;

brainly.com/question/21405634

3 0
3 years ago
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If the average speed of a garden snail is 0.025 miles per hour and one inch is approximately 2.54 centimeters, how many minutes
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Answer:

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we know that

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so

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using proportion

\frac{0.67}{1}\frac{m}{min} = \frac{1}{x}\frac{m}{min}\\\\x=1/0.67\\\\x=1.5\ min

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