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Aleonysh [2.5K]
2 years ago
11

ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′. Select the option that completes the statement: The tr

iangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.
Mathematics
2 answers:
Angelina_Jolie [31]2 years ago
6 0

Answer:

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Step-by-step explanation:

we know that

If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor

An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.

In this problem ΔABC and ΔA′B′C′ are similar

therefore

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

ycow [4]2 years ago
6 0

Answer:

The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar

Step-by-step explanation:

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Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
Look at Andrea’s running journal.
german

First align the decimal points and the numbers,  then add the extra 0's if needed. Lastly, add and the total answer is 14.225.

7 0
2 years ago
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In ΔEFG, the measure of ∠G=90°, GF = 33, FE = 65, and EG = 56. What ratio represents the sine of ∠F?
gizmo_the_mogwai [7]
<h3>Answer:  56/65</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(F) = EG/FE

sin(F) = 56/65

Refer to the diagram below.

5 0
2 years ago
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EleoNora [17]

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2 years ago
The rule below shows how Mrs. Rousseau's long-distance phone company computes her monthly bill. Which answer expresses that rule
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