Write a proportion to find the value of each x

see explanation

Step-by-step explanation:

Since the triangles in both cases are similar then the ratios of corresponding sides are equal.

(1)

= , substitute values

= ( cross- multiply ) ← proportion

3(x + 9) = 45 ( divide both sides by 3 )

x + 9 = 15 ( subtract 9 from both sides )

x = 6

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(2)

= , substitute values

= ( cross- multiply ) ← proportion

5(x + 5) = 36 ( divide both sides by 5 )

x + 5 = 7.2 ( subtract 5 from both sides )

x = 2.2

the olimpics is not going to wokk out

step-by-step explanation:

fabric (square meters)                   cloaks

7                                                           21

4/3                                                         4

step-by-step explanation:

we are told that harry needs 2 square meters of fabric for every 6 wizard cloaks he makes.

1. first of all we will find how many cloaks can be made from 1 square meter of fabric by dividing 6 by 2.

we can see that 3 cloaks can be made from 1 square meter of fabric. now we will multiply 3 by 7 to find number of cloaks made from 7 square meters of fabric.

therefore, harry will make 21 cloaks from 7 square meters of fabric.

2. let us find how many square meters of fabric will be needed to make 4 cloaks.

first of all we will find fabric needed for 1 cloak by dividing 2 by 6.

we can see that fabric needed for 1 cloak is   square meter. now we will multiply   by 4 to find fabric needed for 4 cloaks.