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2 years ago

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Mathematics

1 answer:

bearhunter [10]2 years ago

4 0

Claim: The measures of $\angle B$ and $\angle B'$ are equal

Answer: True

Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.

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Claim: The coordinates of A and A' are the same

Answer: True

Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.

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Which star has a similar surface temperature to our sun?

xenn [34]

Answer: I believe it is yellow star?

Step-by-step explanation:

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3 years ago

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The table below represents the distance of a car from its destination as a function of time.

KIM [24]

We are given the table that projects the distance of the car per hour. x is associated to time while y is associated to distance. The equation of the line after plotting in MS Excel is y = 900 - 50x. Hence the y-intercept is equal to 900 while the slope is equal to -50. The domain of the function that is x is all positive numbers.

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3 years ago

One rectangle has a base of 12 inches and an altitude of 6 inches. The other has a base of 10 inches and an altitude of 5 inches

guajiro [1.7K]

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

<u>Step-by-step explanation:</u>

For first rectangle, it was given that

Base 1 = 12 inches

Altitude 1 = 6 inches

For the second rectangle, it was given that

Base 2 = 10 inches

Altitude 2 = 5 inches

Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.

Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

7 0

3 years ago

Is the following statement a good definition? Why? An obtuse angle is an angle whose measure is greater than 90°.

Virty [35]

180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

<h3>Is the following statement a good definition? </h3>

The given statement is:

"An obtuse angle is an angle whose measure is greater than 90°."

This is the common, but incorrect, definition for obtuse angles.

We know that an angle that measures 180° is called a plane angle and by definition, a plane angle is not an obtuse angle.

And the angles larger than 180° (and smaller than 360°) are the reflex angles.

Now, 180° measures more than 90°, so according to the given statement, a plane angle is also an obtuse angle, and that is incorrect. From that, we conclude that the statement is not a good definition.

If you want to learn more about obtuse angles:

brainly.com/question/5023725

#SPJ1

8 0

1 year ago

-2(2-2x)-4(x-5) is less than or equal to -24

Sphinxa [80]

Your answer to your question is that it is less than -24

4 0

2 years ago