Question

Given the two polygons are similar, calculate the value of x.
A. 4.1
B. 3.98
C. 3.8 9
D. 2 .9 8

Answer 1

@mukushla

Answer 2

can anyone help??

Answer 3

two polygons are similar so ratio of sides is equal in two polygons\[\frac{5}{x}=\frac{9}{7}\]

Answer 4

Since they are similar...you can set up a proportion comparing the lengths and the widths...

Compare the bigger to the smaller and solve for 'x'

\[\large \frac{ 9 }{ 7 } = \frac{ 5 }{ x }\]

cross multiply and solve for 'x'

Answer 5

It get really low answers

Answer 6

after that what do i do?

Answer 7

35mult by 9?

Answer 8

divided!

Answer 9

When you cross multiply....you multiply the numerator of the first fraction by the denominator of the 2nd...and then the denominator of the first by the numerator of the 2nd

so we should have

\[\large 9 \times x = \space 9x\]
\[\large 7 \times 5 = \space 35\]

So we have

\[\large 9x = 35\]

now yes...divide both sides by 9...x = ...?

Answer 10

it gives me 3.8

Answer 11

It should give you something along the lines of 3.888888888

Round that to the nearest hundredth and you get?

Answer 12

um...

Answer 13

Idk how to do this

Answer 14

3.888888
^
this is the hundredth spot...so since the number after that is an 8....what does that number get rounded to?

Answer 15

4

Answer 16

Haven't you done rounded before?

Remember when you are rounding say 2.4...is this rounded to 2? or 3? ...it gets rounded to 2 because the number after that (4) is less that 5...if it were 2.5 ...it would get rounded to 3

In this case...

3.88888888

we want to round with respect to the hundredth place...so

3.88 this is stopping at the hundredth place....we want 1 more number so we can round..so

3.888

now we have that last number...we want to use it to round...3.888 gets rounded *with respect to the hundredth place* to

3.89

Answer 17

thank you very much

Answer 18

No problem!