Find the number if: 5/9 of it is 90.

And another similar question;

Find the number if:

7/3 of it is 5 5/6

I need help with both of these questions.

162 and

Step-by-step explanation:

To find the original number multiply by the reciprocal of the multiplier, that is

90 × = = 162

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Similarly

Change the mixed number into an improper fraction

5 = , then

× ( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )

= ×

=

step-by-step explanation: examine the two-step equation.

−  

7

4

+  

x

4

= 2

which property of operations allows you to add the same constant term to both sides?

multiplication property of equality

division property of equality

addition property of equality

subtraction property of equality

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.