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2 years ago

(I really need help) FGHIJ ~ YUVWX. Find UY and GH.

Mathematics

1 answer:

Rudik [331]2 years ago

3 0

Answer:

UY = 90

GH = 4

Step-by-step explanation:

Given that FGHIJ ~ YUVWX, therefore, their corresponding side lengths would be proportional to each other. Thus:

UY/GF = VW/HI

UY/10 = 63/7 (Substitution)

UY/10 = 9

UY = 10*9

UY = 90

In the same vein, we have:

VW/HI = UV/GH

63/7 = 36/GH (Substitution)

9 = 36/GH

GH*9 = 36

GH = 36/9

GH = 4

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2 years ago

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2 years ago

Read 2 more answers

The cost of 7 chairs and 2 tables is equal.If the cost of 6 chairs and 5 tables is 10575, find the cost of 12 chairs.

Igoryamba

Answer:

5400

Step-by-step explanation:

Let x represent the cost of a chair and y represent the cost of a table. We can use this to set up a system of equations:

7x=2y

6x+5y=10575

We can solve this system using substitution.

Start by rewriting the first equation in terms of x.

$7x=2y\\\text{Divide both sides by 7}\\x=\frac{2}{7}y$

Substitute this into the second equation:

$6(\frac{2}{7}y)+5y=10575\\\frac{12}{7}y+5y+10575\\\frac{12}{7}y+\frac{35}{7}y=10575\\\frac{47}{7}y=10575$

Multiply both sides by 7

$47y=74025$

Divide both sides by 47

$y=1575$

This means...

$7x=2(1575)\\7x=3150$

Divide both sides by 7

$x=450$

One chair costs 450. Now, multiply this number by 12 to find the cost of 12 chairs.

$450*12=5400$

12 chairs cost 5400.

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2 years ago

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2 years ago

A ractangle has a height to width ratio of 3:4 .5 give to example of deminsions for rectangles that could be scaled versions of

dusya [7]

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3 years ago