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3 years ago

Similar triangles what the answer

Mathematics

2 answers:

anzhelika [568]3 years ago

4 0

Answer:

x=8

Step-by-step explanation:

nadezda [96]3 years ago

4 0

Answer:

x = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{2x+4}{2x+4+4}$ = $\frac{x+7}{x+7+3}$

$\frac{2x+4}{2x+8}$ = $\frac{x+7}{x+10}$ ( cross- multiply )

(2x + 4)(x + 10) = (x + 7)(2x + 8) ← expand factors on both sides

2x² + 24x + 40 = 2x² + 22x + 56 ( subtract 2x² from both sides )

24x + 40 = 22x + 56 ( subtract 22x from both sides )

2x + 40 = 56 ( subtract 40 from both sides )

2x = 16 ( divide both sides by 2)

x = 8

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HELP ME PLZZ I NEED HELP WITH THIS

Natali5045456 [20]

Answer:

5 cups

The Commutative Property of Addition

Step-by-step explanation:

They have a common denominator of 12

21/12+6/12+20/12+4/12+3/12+6/12=60/12=5 cups

or you could group ingredients with the same denominators

7/4+1/4+1/2+1/2+5/3+1/3=

8/4+2/2+6/3=

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8 0

3 years ago

A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the stree

NeX [460]

Answer:

15 + 2.05 x = 2.35 x

Step-by-step explanation:

Let x be the number of gallons you would have to buy for the two places to be the same.

At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.

We can write an expression: 15 + 2.05 x

At the gas station, they charge $2.35 per gallon with no other fees.

We can also write an expression: 2.35 x

For the prices to be the same, we have 15 + 2.05 x = 2.35 x

If we were to solve, then we have:

(2.35 - 2.05) x = 15

x = 15 / 0.3 = 50 gallons

8 0

2 years ago

The book fair a sale where 4 books were $31.36.If you wanted to buy 3 books, how much money would you need

mote1985 [20]

Answer:

$23.52

Step-by-step explanation:

So first you would have to find how much each one would be if you were buying one individual book. For that you would do 31.36/4 to get $7.84. Then since you found that for only 1 book, you would need to multiply that by 3 to get $23.52