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kondor19780726 [428]
2 years ago
15

From the diagram below, given the side lengths marked, and if we know that < C is congruent to < E, we can say that ___.

Mathematics
1 answer:
Lana71 [14]2 years ago
5 0

Since we know that <C is congruent to <E, we can say that: A. the two triangles are similar by SAS.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

Ratio = BC/AC = 6/3 = 2.

Ratio = FE/DE = 4/2 = 2.

Thus, the ratio of their corresponding sides are equal in magnitude i.e BC/AC ≡ FE/DE.

Since we know that <C is congruent to <E, we can say that the two triangles are similar by side, angle, side (SAS) criterion.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

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HELP!!!! A quarter circle is attached to the side of a square as shown.
Paul [167]

Answer:

28.56 m²

Step-by-step explanation:

What we need to do for the quarter circle is use the following formula: 1/4(πr²)

(4 * 4) + 1/4(3.14 * 4²)

16 + 1/4(3.14 * 16)

16 + 1/4(50.24)

16 + 12.56

28.56 m²

The best approximation for the area of this figure is 28.56 m².

6 0
2 years ago
Which of the following is not a career in environmental science? a. Hydrologist b. Toxicologist c. Physiologist d. Ecologist Ple
kodGreya [7K]

Answer:

C

Step-by-step explanation:

No doubt thats the correct answer guys, thank me later

6 0
3 years ago
Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1
Margaret [11]

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

3 0
2 years ago
Which of these correctly rearranges the terms in this polynomial so like terms are next to each other
True [87]

Question is not complete, so i have attached it.

Answer:

B: -2x² - 6x² - 6x + 3x + 3 + 2

Step-by-step explanation:

From the image attached, the given polynomial is;

3 - 6x - 2x² + 3x - 6x² + 2

For like terms to be next to each other, we have to rearrange it as follows;

-2x² - 6x² - 6x + 3x + 3 + 2

Like terms are x² and x, thus they are now arranged next to each other.

The only option that corresponds to our answer is option B

8 0
2 years ago
( 2 + 7 -14<br>Turn over​
Viefleur [7K]

Answer:

<h2>9</h2>

Step-by-step explanation:

2 + 7 - 14 flipped around =

14 - 7 + 2 =

7 + 2 =

9

<em>Hope that helps! :)</em>

<em></em>

<em>-Aphrodite</em>

4 0
3 years ago
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