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3 years ago

Triangle A’ B’ C’ is a dilation of triangle abc what is the scale factor

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

AC=18 and A'C'=9

AB(x)=A'B'

18(x)=9

x=9/18

x=1/2

Anon25 [30]3 years ago

4 0

<h2>Answer:</h2>

The scale factor is:

1/2

<h2>Step-by-step explanation:</h2>

We know that the scale factor of a dilation is the ratio of the length of the dilated i.e. transformed figure to the corresponding lengths of the original figure.

Here in the original triangle i.e. ΔABC the length of the side AC is: AC=18 units

and the corresponding side of the dilated triangle i.e. ΔA'B'C' is: A'C'= 9 units

Hence, the scale factor is given by:

$\text{Scale factor}=\dfrac{\text{Length of A'C'}}{\text{Length of AC}}\\\\i.e.\\\\\text{Scale factor}=\dfrac{9}{18}\\\\\text{Scale factor}=\dfrac{1}{2}$

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Part E

nevsk [136]

Answer:

Part A: The y-coordinate when x=0 is 6. So, the y-intercept is 6

Part B: The equation for a line is y = mx + b, where m is the slope and b is the y-intercept. For plant A, the slope is 1 and the y-intercept is 6. So, the equation for the line is y = x + 6.

Part C:The y-coordinate when x=0 is 4. So, the y-intercept is 4.

Part D:The equation for a line is y=mx+b, where m is the slope and b is the y-intercept. For plant B, the slope is 3/2 and the y-intercept is 4. So, the equation for the line is y= 3/2x+4.

Part E:The solution for the system of equations is (4,10). This solution is the same as the answer found graphically.

Answers straight from plato/Edmentum Hope this helps:) !

3 0

2 years ago

Help asap, please! <3

o-na [289]

Answer:

a = 9

Step-by-step explanation:

Let's make the demoninators of the 2 fractions the same :
(2a+8)/10 - (5a +15)/10 = 5

(2a + 8 - 5a + 15)/10 = 5

=> -3a + 23 = 50
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5 0

2 years ago

Simple the expression <br> ( 3k + 4 1/5) + 8 3/5

lesantik [10]

Answer:

$3k+12\frac{4}{5}$

Step-by-step explanation:

$(3k+12\frac{4}{5})$

Convert mixed numbers to improper fractions:

$a\frac{b}{c}=\frac{a*c+b}{c}$

$4\frac{1}{5}=\frac{4*5+1}{5}$

$=\frac{21}{5}$

$=(3k+\frac{21}{5} )+\frac{43}{5}$

Add the fractions

$\frac{21}{5}+\frac{43}{5}$

$\frac{21}{5} \frac{43}{5} =\frac{64}{5}$

$=3k+\frac{64}{5}$

Divide 64 by 5

$\frac{64}{5}$ $12.8 or 12\frac{4}{5}$

$=3k+12\frac{4}{5}$

7 0

2 years ago

What percent is represented by the shaded portion of this 10 × 10 grid?

siniylev [52]

Answer:

answer #4

Step-by-step explanation:

because you have 100 tiles. if you fill in 1 tile, that 1 percent. if you fill in 4 tiles, that 4 percent. you fill in 40? 40 percent. and option 2 is not a percentage so it cannot be correct

8 0

2 years ago

Suppose that a recent poll of American households about car ownership found that for households with a car, 39% owned a sedan, 3

Dimas [21]

Let the total number of cars = 100

Total of sedan, van and sports cars = 39+33+7 = 79

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Let A be the event of owning a sedan,

B be the event of owning a van and

C be the event of owning a sports car.

D be the event of owning other cars.

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