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professor190 [17]
2 years ago
9

The coordinates of ΔABC are (-3, 4), (0, 4), and (2, 5). The coordinates of ΔA'B'C' are (-1.5, 2), (0, 2) and (1, 2.5). How do y

ou know that the transformation is a dilation? A) The coordinates of ΔABC have been multiplied by a scale factor of 0.5. B) The coordinates of ΔABC have been multiplied by a scale factor of 2. C) The signs of the coordinates of ΔABC have remained the same. D) The coordinates of ΔABC have been divided by 1 2 .
Mathematics
1 answer:
Korvikt [17]2 years ago
8 0
Answer: Choice A
The coordinates of triangle ABC have been multiplied by a scale factor of 0.5

In other words, the coordinates have been cut in half or they divided each coordinate value over 2
eg: (-3,4) --> (-1.5, 2)
since -3/2 = -1.5 and 4/2 = 2

The resulting figure is smaller. Specifically the linear dimensions are half that as the original.

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Consider the linear inequality. 9−3≤12
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7 0
2 years ago
3t - 6 = 18 t = _____
Mazyrski [523]

Answer:

3t = 18 + 6 \\ 3t = 24 \\ 24 \div 3 = 8 \\ t = 8

Step-by-step explanation:

First we move the constant to the right and change its sign

we add the numbers and divide it by 3

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3 0
3 years ago
6 men and 8 women are going to be assigned to a specific row of seats in a theater. If the 14 tickets for the numbered seats are
Sedbober [7]
If exactly one woman is to sit in one of the first 5 seats, then it means that 4 men completes the first 5 seats.
No of ways 4 men can be selected from 6 men = 6C4 = 15
No of ways 4 men can sit on 5 seats = 5P4 = 120
No of ways 1 woman can be selected fom 8 women = 8C1 = 8
No of ways 1 woman can sit on 5 seats = 5P1 = 5

No of ways <span>that exactly one woman is in one of the first 5 seats = 15 * 120 * 8 * 5 = 72,000

No of ways 14 people can be arranged in 14 seats = 14!

Probability that exactly one woman is in one of the first 5 seats = 72,000 / 14! = 0.0000008259 = 0.000083%
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8 0
2 years ago
I need help with this V-4=v+2+7v-42 ??
zubka84 [21]

Answer:

\boxed{\bold{v \ = \ \frac{36}{7}}}

Step-by-step explanation:

Subtract v from both sides

\bold{v-4-v=v+2+7v-42-v}

Simplify

\bold{-4=2+7v-42}

Switch sides

\bold{2+7v-42=-4}

Group like terms

\bold{7v+2-42=-4}

Subtract the numbers: 2 - 42 = -40

\bold{7v-40=-4}

Add 40 to both sides

\bold{7v-40+40=-4+40}

Simplify

\bold{7v=36}

Divide both sides by 7

\bold{\frac{7v}{7}=\frac{36}{7}}

Simplify

➤ \bold{v=\frac{36}{7}}

5 0
3 years ago
What is the value of x?<br><br> 3<br> 4<br> 6<br> 8
bekas [8.4K]
The longer sides of the rectangles should be the same value, so we can make the lower part of the equation equal to 18, which is 4.
We can even find the y value by making it equal to 10, which is 3.
8 0
3 years ago
Read 2 more answers
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