If the scale factor of Figure A to Figure B is 3:8, find the value of x.

In the given problem we have scale factor of Figure A and Figure B. We have to use proportion rule to solve the problem.

The value of is 9.

Given:

The ratio of figure A and figure B is .

Write the equation for proportion.

Apply the cross multiplication rule.

Further solve for the .

Thus, the value of is 9.

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We have been given that two figures. The scale factor of Figure A to Figure B is 3:8. We are asked to find the value of x.

We will use proportions to solve our given problem.

Upon substituting the ratio between figure A and figure B, we will get:

Therefore, the value of x is 9.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: