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photoshop1234 [79]
2 years ago
13

In the image, shape DEFG is similar to shape WXYZ . Find the measure of side YZ.

Mathematics
2 answers:
finlep [7]2 years ago
7 0

It is 40 because 24/40= 0.6 and 18/30= 0.6 so yeah its 40

likoan [24]2 years ago
6 0

Answer:

40

Step-by-step explanation:

We know that DEFG is similar to WXYZ.  This means we can set up a proportion to find the length of the unknown side (let x be the unknown side):

18/30 = 24/x

Cross multiplying,

18(x) = 30(24)

18x = 720

Divide both sides by 18:

18x/18 = 720/18

x = 40

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100 is what percent of 250?
alisha [4.7K]

Answer:

100 is 40% of 250

Step-by-step explanation:

1. We assume, that the number 250 is 100% - because it's the output value of the task.  

2. We assume, that x is the value we are looking for.  

3. If 100% equals 250, so we can write it down as 100%=250.  

4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.  

5. Now we have two simple equations:

1) 100%=250

2) x%=100

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=250/100

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 100 is what percent of 250

100%/x%=250/100

(100/x)*x=(250/100)*x       - we multiply both sides of the equation by x

100=2.5*x       - we divide both sides of the equation by (2.5) to get x

100/2.5=x  

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now we have:  

100 is 40% of 250

6 0
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6 0
2 years ago
A jet ski costs $925 and depreciates by 15% each year. How much will
ivann1987 [24]
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
                              = 925( 1 - 15%)^7
                              = 925( 1 - 15/100)^7
                              = 925(1 - 0.15)^7
                              = 925(0.85)^7
                              = 925 *(0.85)^7
                              = 925 * 0.3206
                              = 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
6 0
3 years ago
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