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musickatia [10]
2 years ago
11

Line segment st is dilated to create line segment s't' using the dilation rule dq,2.25. point q is the center of dilation. line

segment s t is dilated to create line segment s prime t prime. the length of q t is 1.2 and the length of q s is 2. the length of s s prime is x and the length of t t prime is 1.5. what is x, the distance between points s' and s? x = 2.25 units x = 2.5 units x = 4.25 units x = 4.5 units
Mathematics
1 answer:
astra-53 [7]2 years ago
8 0

The value of x when the line segment st is dilated to create line s't' about point q is 2.5 units

<h3>How to determine the value of x?</h3>

The given parameters are:

qs = 2

qt = 1.2

tt' = 1.5

ss' = x

To calculate the value of x, we make use of the following equivalent ratio

ss' : qs = tt' : qt

So, we have:

x : 2 = 1.5 : 1.2

Express as fractions

x/2 = 1.5/1.2

Multiply both sides by 2

x = 2 * 1.5/1.2

Evaluate the product

x = 2.5

Hence, the value of x is 2.5 units

Read more about dilation at:

brainly.com/question/2475257

#SPJ4

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Step-by-step explanation:

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3. 128 - (-318) = 128 + 318 = \boxed{446}.

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4 0
2 years ago
A researcher collects data on the relationship between the amount of daily exercise an individual gets and the percent body fat
fredd [130]

Answer: approximately 24

Step-by-step explanation:

We need to plot a regression line.

So we fit a model using the regression of Y on X, that an equation that predict Y for a given X using:

(Y -mean(Y ))= a(X-meanX)...........1

Where the formular of a is given the attachment.

N= the of individuals = 5

Y = amount of fat

X = time of exercise

mean(X )= sum of all X /N

= 131/5 = 26.2

mean(Y) = sum of all Y/N

= 104/5 = 20.8

a = N(SXY) - (SX)(SY)/ NS(X²) -(SX)²......2

SXY = Sum of Product X and Y

SX= sum of all X

SY = Sum of all Y

S(X²)= sum of all X²

(SX) = square of sum of X

a = -0.478

Hence we substitute into 1

Y-20.8 = -0.478 (X-26.2)

Y -20.8 = -0.478X - 12.524

Y = -0.478X + 33.324 or

Y = 33.324 - 0.478X (model)

When X = 20

Y = 33.324 - 0.478 × 20

Y = 33.324 - 9.56

Y = 23. 764

Y =24(approximately)

Carefully meaning of formula used in attachment to the solution they are the same.

4 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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lukranit [14]
The decimal of 2.1 is greater than 2.0 but less than 2.42
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3 years ago
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adelina 88 [10]

Answer:

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Step-by-step explanation:

Since percentages are out of 100. (Cent=100) Therefore 7/100 is 7%.

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3 years ago
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