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3 years ago

If ABCD is dilated by a factor of 3, the

Mathematics

1 answer:

Vlad [161]3 years ago

7 0

Answer:

(6,-6)

Step-by-step explanation:

First let's identify the current coordinates of D

It appears that D is located at (2 , -2)

Now let's find the coordinate of D if it were dilated by a scale factor of 3.

To find the coordinates of a point after a dilation you simply multiply the x and y values of the pre image coordinates by the scale factor

In this case the scale factor is 3 and the coordinates are (2,-2)

That being said let's apply the dilation rule

Current coordinates: (2,-2)

Scale factor:3

Multiply x and y values by scale factor

(2 * 3 , -2 * 3) --------> (6 , -6)

The coordinates of D' would be (6,-6)

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In the figure to the right, can you conclude that triangle GHI is congruent to triangle KJI? Justify your reasoning.

inessss [21]

Answer:

Step-by-step explanation:

You cannot conclude that ΔGHI is congruent to ΔKJI, because although you can see/interpret that there all the angles are congruent with one another, like with vertical angles (∠GIH and ∠KIJ) and alternate interior angles (∠H and ∠J, ∠G and ∠K), we don't know the side lengths.

All the angles could be congruent, but the sides might be different. For example, ΔGHI might be a bigger triangle than ΔKJI, which could make them similar to one another, but not congruent.

For something to be congruent to another, everything must be exactly the same.

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3 years ago

Given a square with two vertices of one side located at (-5, -3) and (-5, 12), in square units what is its area?

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The side length is 12 - -3 = 15 so the area is 15 squared = 225.

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3 years ago

Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more

mezya [45]

The y-coordinate is between -1 and -2. It is close to halfway between -1 and -2, but it is a little less than halfway.

Answer: Choice B. $y \approx -1.4$

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3 years ago

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Please help me answer please

IgorLugansk [536]

Answer:

x=75

Step-by-step explanation:

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2 years ago

A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to hav

Semmy [17]

Answer: 0.62

Step-by-step explanation:

Given : A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige.

i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige : x= 627

Now , the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be :

$\hat{p}=\dfrac{x}{n}\\\\=\dfrac{627}{1010}=0.620792079208\approx0.62$ [ To the nearest hundredth]

Hence, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62

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3 years ago