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3 years ago

Given AC ≅ FE and CB ≅ ED which statement is correct?

Mathematics

2 answers:

san4es73 [151]3 years ago

7 0

Answer: The correct option is

(D) Angle C is larger than angle E.

Step-by-step explanation: Given that in triangles ABC and DEF,

AC ≅ FE and CB ≅ ED.

We are to select the correct statement from the given options.

We have the following inequality theorem.

SSS Inequality Theorem : If two sides of a triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second triangle, then the included angle of the first triangle is greater in measure than the included angle of the second triangle.

In ΔABC and ΔDEF,

the sides BC and AC are congruent to the sides DE and EF respectively,

but AB = 15 in. and DF = 11 in.

That is, AB > DF.

Therefore, the included angle C in ΔABC > the included angle E in ΔDEF.

Thus, angle C is larger than angle E.

Option (D) is correct.

Kisachek [45]3 years ago

3 0

Answer:

D is the correct answer.

Step-by-step explanation:

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Determine which function has the greatest rate of change over the interval [0, 2].

ruslelena [56]

Remember that the average rate of change of a function over an interval is the slope of the straight line connecting the end points of the interval. To find those slopes, we are going to use the slope formula: $m= \frac{y_{2}-y_{1}}{x_2-x_1}$

Rate of change of $a$ :
From the graph we can infer that the end points are (0,1) and (2,4). So lets use our slope formula to find the rate of change of $a$ :
$m= \frac{y_{2}-y_{1}}{x_2-x_1}$
$m= \frac{4-1}{2-0}$
$m= \frac{3}{2}$
$m=1.5$
The average rate of change of the function $a$ over the interval [0,2] is 1.5

Rate of change of $b$ :
Here the end points are (0,0) and (2,2)
$m= \frac{2-0}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $b$ over the interval [0,2] is 1

Rate of change of $c$ :
Here the end points are (0,-1) and (2,0)
$m= \frac{0-(-1)}{2-0}$
$m= \frac{1}{2}$
$m=0.5$
The average rate of change of the function $c$ over the interval [0,2] is 0.5

Rate of change of $d$ :
Here the end points are (0,0.5) and (2,2.5)
$m= \frac{2.5-0.5}{2-0}$
$m= \frac{2}{2}$
$m=1$
The average rate of change of the function $d$ over the interval [0,2] is 1

We can conclude that the function that has the greatest rate of change over the interval [0, 2] is the function a.

4 0

3 years ago

the water level in a plastic pool changed by -8 gallons each hour due to small hole in the bottom after6 hours the pool containe

Yuri [45]

x - 6(8) = 132

x = 48 + 132

x = 180

180 gallons was in the pool originally.

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3 years ago

If im was born on june 9th of 1993 from 2015 she still alive how old is she now?

Vladimir79 [104]

If you're born on June 9th in 1993, on June 9th in 2015 you would have your 22nd birthday (2015-1993=22).

So you're 22 years old, and, as of today, 17 days tool (22 years 17 days).

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3 years ago

What are the steps to do this and answer?

Zinaida [17]

Answer:

1526.04 mm^2

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = 3.14 * (9)^2 *6

=1526.04 mm^2

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3 years ago

Identify which of the following are rational numbers. A. −5 B. √12 C. 4 3 ⁄ D. 0.523523 … E. 4.1389467 … F. √25 16 ⁄ G. 27 H. 9.

Gennadij [26K]

A. C. D. F. G. H. That is the answers

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3 years ago