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Rasek [7]
2 years ago
12

Instructions: The polygons in each pair are similar. Find the missing side length.

Mathematics
1 answer:
loris [4]2 years ago
3 0

Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

15 × 4/5 = 3 × 4 = 12

the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

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One year Terry had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitch
Colt1911 [192]

Answer:

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​

Terry had a better year because he had a lower Era and he was a better pitcher.

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

any male pitcher at his​ school,

For Thomas:

z = (x-μ)/σ

x = 2.85 μ = 4.893 σ = 0.949.

z = 2.85 - 4.893/0.949

z = -2.15279

For Karla

z = (x-μ)/σ

x = 2.95 μ = 4.348 σ = 0.997.

z = (2.95 - 4.348) /0

z = -1.40221

Their respective​ z-scores are:

Thomas : -2.15279

Karla : -1.40221

Which player had the better year relative to their​ peers, Terry or Karla ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

Terry had a better year because he had a lower Era and he was a better pitcher.

5 0
3 years ago
Subtract. -21 - (-13)
Burka [1]

Answer:

-8

Step-by-step explanation:

-21-(-13)

=-21+13

=-8 is the answer......

3 0
3 years ago
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almond37 [142]
The answer to the problem is c
3 0
2 years ago
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If the area of a rectangle equals 30 cm² and the perimeter is equal to 26 cm. Find the length and width of the rectangle.​
Kamila [148]

Answer:

Length = 10 & width = 3

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

26 = 2Length + 2 Width

26 = 2 ( Length + Width )

13 = Length + width

13 - Length = Width EQUATION 1

Area = Length X Width

30 = Length X ( 13 - Length )

30 = 13Length - Length ^2

Length ^2 - 13Length + 30 = 0

( Length - 3 )( Length - 10 )

Length = 3 or Length = 10

Therefore Length = 10

From equation 1

13 - Length = Width

13 - 10 = width

width = 3

8 0
1 year ago
Linda's grandmother baked brownies on Saturday for her church's bake sale. She cut each batch of brownies into 9 large pieces. S
LiRa [457]

Answer:

C - 8

Step-by-step explanation:

153 - 81 = 72

72 ÷ 9 = 8

5 0
3 years ago
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