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1 year ago

10

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila

r, explain why.

1 answer:

Mashutka [201]1 year ago

8 0

Answer: $\triangle RQP \sim \triangle VPW$

Step-by-step explanation:

By the corresponding angles theorem, $\angle RPQ \cong \angle VWP$ and $\angle RQP \cong \angle VPW$ .

Therefore, $\triangle RQP \sim \triangle VPW$ by AA.

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Troy made a scale drawing of the Statue of Liberty which has an actual height of 305 feet. He decides to use a scale in which 1

dedylja [7]

The height of the model is 6.1 inches.

If 1 inch represents 50 feet, to find the answer, divide 305/50.

the answer is 6.1 inches.

Hope this helps, and have a fantastic day.

7 0

2 years ago

In a 3 hour examination of 350 questions, there are 50 mathematics problems. if twice as much time should be allowed for each ma

Margarita [4]

Answer: 7 minutes

Step-by-step explanation:

350/50=7

3*2.3333=7

3 0

3 years ago

Find the mean, median, mode,

Aleonysh [2.5K]

Answer:

Mean: 34.875, Median = 34.5, Mode = 34, Range = 6

6 0

2 years ago

The perimeter of a rectangle is 52. The length of the rectangle is six less than the width. Find the length and width of the rec

devlian [24]

Create expressions for the length and width of the rectangle.

length (l): x - 6
width (w): x

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52 = 2(x - 6) + 2(x)

Distribute 2 inside the parentheses.

52 = 2x - 12 + 2x

Combine like terms.

52 = 4x - 12

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64 = 4x

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x = 16

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3 0

3 years ago

Let x be a random variable representing percentage change in neighborhood population in the past few years, and let y be a rando

Lisa [10]

Answer:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

Step-by-step explanation:

$m=\frac{S_{xy}}{S_{xx}}$

Σx = 77, Σy = 587, Σx2 = 1593, Σy2 = 70,533, and Σxy = 10040.

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=1593-\frac{77^2}{6}=604.833$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=10040-\frac{77*587}{6}=2506.833$

And the slope would be:

$m=\frac{2506.833}{604.833}=4.1447$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{77}{6}=12.833$

$\bar y= \frac{\sum y_i}{n}=\frac{587}{6}=97.833$

And we can find the intercept using this:

$b=\bar y -m \bar x=97.833-(4.1447*12.833)=44.644$

So the line would be given by:

$y=4.1447 x +44.644$

5 0

3 years ago