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3 years ago

What is the scale factor of triangle ABC to DEF ?

Mathematics

2 answers:

bekas [8.4K]3 years ago

8 0

Answer: The correct option is (A). 3.

Step-by-step explanation: We are given to find the scale factor of dilation from ΔABC to ΔDEF.

As shown in the figure, the lengths of the sides of ΔABC to ΔDEF are

AB = 5 units, BC = 4 units, CA = 3 units,

DE = 15 units, EF = 12 units, FD = 9 units.

We know that the scale factor is given by

$S=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.$

Therefore, the scale factor of dilation from from ΔABC to ΔDEF is

$S=\dfrac{DE}{AB}=\dfrac{15}{5}=3.$

Thus, the required scale factor is 3.

Option (A) is correct.

olasank [31]3 years ago

3 0

Answer: the answer is 3.

Step-by-step explanation:

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Which statements are true about the ordered pair (10, 5) and the system of equations?

Alexeev081 [22]

Answer:

Step-by-step explanation:

We have the system of equations:

$\left\{\begin{array}{ll}2x-5y=-5 \\ x+2y=11\end{array}$

And an ordered pair (10, 5).

In order for an ordered pair to satisfy any system of equations, the ordered pair must satisfy both equations.

So, we can eliminate choices A and B. Satisfying only one of the equations does not satisfy the system of equations.

Let’s test the ordered pair. Substituting the values into the first equation, we acquire:

$2(10)-5(5)\stackrel{?}{=}-5$

Evaluate:

$20-25\stackrel{?}{=}-5$

Evaluate:

$-5\stackrel{\checkmark}{=} -5$

So, our ordered pair satisfies the first equation.

Now, we must test it for the second equation. Substituting gives:

$(10)+2(5)\stackrel{?}{=} 11$

Evaluate:

$20\neq 11$

So, the ordered pair does not satisfy the second equation.

Since it does not satisfy both of the equations, the ordered pair is not a solution to the system because it makes at least one of the equations false.

Therefore, our answer is C.

3 0

2 years ago

Anais bought 3½ yards of ribbon. She had 2 feet 10 inches of ribbon left after trimming some curtains. How many inches of ribbon

vredina [299]

Answer:

mathematics questions and then you solve your questions

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3 years ago

PLZZZZ HELP What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

earnstyle [38]

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so the slope of that line above is really -4/3, now

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{4}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{3}{4}}\qquad \stackrel{negative~reciprocal}{+\cfrac{3}{4}\implies \blacktriangleright \cfrac{3}{4} \blacktriangleleft}}$

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2 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

sesenic [268]

Answer:

Part A: Both functions' slopes increase at intervals of four in a positive manner, so they will rise to the right.

Part B: g(x) has a greater y intercept as it is y=3 and f(x) is y=-1

Step-by-step explanation:

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2 years ago

What is the equation, in point-slope form, for a line that goes through (8, −4)) and has a slope of −56 ?

grin007 [14]

Y - y1 = m(x - x1)
slope(m) = -56
(8,-4)...x1 = 8 and y1 = -4
now we sub...pay close attention to ur signs
y - (-4) = -56(x - 8)....not finished yet
y + 4 = -56(x - 8) <===

6 0

2 years ago

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