The polygons are similar. Find the value of x and y.
1 answer:
Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
=
( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
=
( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
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Answer:
We kindly invite you to read carefully the explanation detailed below for further details.
Step-by-step explanation:
At first we understand that Diego converted length and wide units from feet to inches () and then he divided each term by 180, since he was using a reduction scale, so that rectangular parking lot can be represented on paper. That is:
Step 1 - Unit conversion:
(
- Length)
(
- Width)
Step 2 - Applying scaling:
(
- Scaled length)
(
- Scaled width)
Answer:
The larger number = 116
Step-by-step explanation:
Let the smaller number = x
Given that one number is 78 more than another, so
The larger number = x+78
Given that if we add 12 to the smaller number, the result is 50, so
subtract 12 from both sides
Simplify
Therefore,
- The smaller number = 38
- The larger number = x+78 = 38+78 = 116
Thus, the larger number = 116