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Bogdan [553]
3 years ago
6

Which of the following lines is parallel to the graph of 5x+2y=8

Mathematics
1 answer:
nikklg [1K]3 years ago
4 0
5x+2y=8
2y=-5x+8
y=-2.5x+4

a.2x+5y=3
5y=-2x+3
y=-2/5x+3/5  so it isn't a

b.5x+3y=6
3y=-5x+6
y=-1 2/3x+2 so it isn't b

c. -10x-4y=7
-4y=10x+7
y=-2.5x-7/4 So it is c

Hope this helps :)
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Nadya [2.5K]

Answer:

144 people were originally at the party.

Step-by-step explanation:

18 boys is one fifth of the second boys population, so the second population is 18x9 = 162. The original population would be 162-18, which equals 144.

6 0
3 years ago
Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).
MAXImum [283]

General Idea:

When we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

Applying the concept:

In the diagram given, the coordinate of C is (6, 3). Triangle ABC is being dilated with the center of dilation at the origin. The image of C, point C' has coordinates of (7.2, 3.6).

If C (x, y) centered at origin with a scale factor of k, then the dilated point will be given by C' (kx, ky)

We know x = 6 & kx = 7.2

Substituting 6 for x in the equation kx = 7.2, we get 6k = 7.2.

Dividing 6 on both sides\frac{6k}{6}=\frac{7.2}{6}

Simplifying fractions on both sidesk=1.2

Point A from the diagram is (-3, 3)

x-coordinate of A' = kx=1.2 * -3 = -3.6

y-coordinate of A' = ky =1.2*3=3.6

Point A' is given by (-3.6, 3.6)

Conclusion:

<u>Scale factor of dilation is 1.2</u>

<u>The coordinates of point A' is (-3.6, 3.6)</u>

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3 years ago
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ABC=DBC

(This will probably be a way more complex explanation than you need but it’s what I did.)

Okay so you know B=B because they’re both right angles. You know A=D because of the isosceles triangle theorem- if two sides of a triangle are congruent, then the angles opposite those sides are congruent. That leaves C=C. If B=B and A=D and all triangles add up to 180 degrees, C and C need to be the same.
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Answer:

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Step-by-step explanation:

So here 2/3 of 24 ran for first race

Then it gives us that 16 girls ran for first race.

Next, 1/4 of 24 ran for second race

That is 6 girls

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