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.
Answer:
A
Step-by-step explanation:
Taking the square root of both sides.
Answer:
BC
Step-by-step explanation:
because they never intersect each other
Answer:
16
Step-by-step explanation:
since -4 is being squared, we can write it out as -4 * -4, to get us the answer 16. this answer is positive because a negative times a negative will cancel out and = a positive.
Answer:
Step-by-step explanation:
Sarah has $55
Her expenses are 3 shirts priced at $m each.
Total cost of 3 shirts at $m each would be the multiplication of each:
3 * m = 3m
The amount of money Sarah has left would be the total she had MINUS what she spent on 3 shirts. That would be:
Remaining Money = 55 - 3m
