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3 years ago

Which must be true of a scale factor of a dilation if the image is smaller than the original figure?

Mathematics

1 answer:

butalik [34]3 years ago

6 0

Answer:

the scale factor k is between 0 and 1

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

A dilation with the larger image than initial figure is called an enlargement.

A dilation that the smaller image than initial figure is called a reduction.

If the scale factor k is greater than 1, the image is an enlargement
If the scale factor k is between 0 and 1, the image is a reduction
If the scale factor k = 1, the figure and the image are congruent

Thus, if the image is smaller than the original figure, then the scale factor k is between 0 and 1.

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the equation of line cd is y = 3x − 3. write an equation of a line perpendicular to line cd in slope-intercept form that contain

liberstina [14]

Answer:

The required equation is $y=-\frac{1}{3}x+2$ .

Step-by-step explanation:

The equation of line cd is

$y=3x-3$

Slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

Slope of line cd is 3.

The product of slopes of two perpendicular lines is -1.

$m_1\times m_2=-1$

$3\times m_2=-1$

$m_2=-\frac{1}{3}$

Therefore slope of perpendicular line is $-\frac{1}{3}$ .

Point slope form of a line is

$y-y_1=m(x-x_1)$

Slope of perpendicular line is $-\frac{1}{3}$ and line passing through the point (3,1).

$y-1=-\frac{1}{3}(x-3)$

$y=-\frac{1}{3}x+1+1$

$y=-\frac{1}{3}x+2$

Therefore the required equation is $y=-\frac{1}{3}x+2$ .

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3 years ago

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PLS HELP I WILL GIVE BRAINLIEST

BaLLatris [955]

Answer:

81°

Step-by-step explanation:

By the outside angle theroem, we know that 2 * angle APC is differece of arcs DC and AB.

Angle APC = 27° so the difference is 54°

Arc DC = 27°, so Arc AB = 27° + 54° or 81°.

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Answer:

26 percent would be your answer.

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A shoe store marks up its merchandise by 8%. What was the selling price of a pair of shoes whose wholesale price is $24.50? Show

Alika [10]

Answer:

Result: $26.46

Steps:

$24.50 (increase) + 8% = $26.46

24.50 x (1 + 8%) = 24.50 x (1 + 0.08) = 26.46

I'm truly sorry if my math is incorrect.

Bye, have a great day/night :)

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2 years ago

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