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worty [1.4K]
3 years ago
7

What is the slope of the line in the graph

Mathematics
1 answer:
Bess [88]3 years ago
5 0
Slope form: y = -x + 1
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6÷7 is 0.857. maybe?
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In a particular class of 26 students, 16 are men. What fraction of the students in the class are women?
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Pqr is similar to xyz what is the perimeter of xyz? A.21cm B.63cm C. 105cm D.126cm
skelet666 [1.2K]

Answer:

option D. 126 cm

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In this problem

Triangles PQR and XYZ are similar by AA Similarity Theorem

so

\frac{XY}{PQ}=\frac{YZ}{QR}=\frac{XZ}{PR}

Let

z ---> the scale factor

z=\frac{XY}{PQ}

substitute the given values

z=\frac{30}{5}=6

step 2

Find the perimeter of triangle XYZ

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z ----> the scale factor

p_1 ----> the perimeter of triangle XYZ

p_2 ---> the perimeter of triangle PQR

so

z=\frac{p_1}{p_2}

The perimeter of triangle PQR is

p_2=5+10+6=21\ cm

we have

z=6\\p_2=21\ cm

substitute

6=\frac{p_1}{21}

p_1=6(21)=126\ cm

therefore

The perimeter of triangle XYZ is 126 cm

5 0
4 years ago
Help me with number 2 I need help fast with the right answer with showing work
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Volume of a cylinder is defined as:

v = volume

r = radius

h = height.

V = \pi(r^2)h

In this problem,

v = 1,356.48 in^3

r = 6 in

h = ?

Plug our numbers into the volume formula above.

1,356.48 in^3 = \pi(6^2)h

Divide both sides by \pi(6^2) to isolate variable h

12.0 = h

The height of the cylinder is 12.0 inches

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3 years ago
The probability that the card is a spade given that the card is blackblack is
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There are 52 cards in a deck and half of them are black. Of the 26 black cards, half of them are spades while the other half are clubs.

So the probability is 13/26 or 50%
7 0
3 years ago
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