Answer in fraction form: x = 55/4
Answer in decimal form: x = 13.75
Both forms are equivalent, but they say it in a slightly different way.
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Work Shown:
AC/QY = CD/YW
(x+5)/15 = 5/4
4(x+5) = 15*5
4x+20 = 75
4x = 75-20
4x = 55
x = 55/4
x = 13.75
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Explanations:
- The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
- In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
- On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
So all you need to do is to multiply 12.49 by 1.13 ( since 1.00 is the price and 0.13 is the added tax rate), which gives you $14.11
Answer:
(x-y)(x-y-3)
Step-by-step explanation:
(x-y)² - 3(x-y)
take (x-y) common,
(x-y)(x-y-3)
Answer:
20%
Step-by-step explanation:
im not really good at percentages but from what i know you first make it a fraction by adding all the numbers together to get 55(denominator). then for the numerator you take the section that they want(11). 11/55 is equal to 20/100(divide 100 by 55 and multiply the quotient by 11 to get 20). 20/100 is 20%. hope this kinda helps.
4 x 2 over 2
8/2 + 1/2 = 9/2
3 x 4 over 4
12/4 +1/4 = 13/4
Top times top over bottom times bottom.
9 x 13 over 2 x 4
117 / 8
14 and 5/8
