20 POINTS<br> Please answer the question in the photo

Triangle ABD is congruent to Triangle DFE. If the length of line segment BC is 5 units, what is the length of line segment EF?

Degger [83]

Answer:

<em>EF = 5 units</em>

Step-by-step explanation:

If ΔABC and ΔDFE are congruent, then

AB = DF

BC = FE

CA = ED

and

angles A and D are congruent

angles B and F are congruent

angles C and E are congruent

4 0

3 years ago

A professor grades students on three tests, four quizzes, and a final examination. Each test counts as two quizzes and

Vlad1618 [11]

Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.

<h3>What is the weighed mean?</h3>

The weighed mean is given by the <u>sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights</u>.

In this problem, the weights are as follows:

A quiz has a weight of 1.

A test has a weight of 2.

The final examination has a weight of 4.

Hence, her weighed mean is given as follows:

$M = \frac{2(65 + 62 + 60) + (61 + 96 + 80 + 89) + 4(65)}{6 + 4 + 4} = 68.6$

Mara's average for the course was of 68.6.

More can be learned about the weighed mean formula at brainly.com/question/24398353

5 0

2 years ago

The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. Complete the explanation for wh

kicyunya [14]

Answer:

The center is $\frac{1}{25}$ of the whole target.

Step-by-step explanation:

Given:

Diameter of the center = 5 inches

Diameter of the whole target = 25 inches

We need to find the part of the center to the whole target.

Solution,

Firstly we will find out the areas of center and whole target.

For center;

Diameter = 5 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{5}{2}=2.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times{2.5}^2$

For whole target;

Diameter = 25 in

Radius of circle is equal to half of the diameter.

radius = $\frac{diameter}{2}=\frac{25}{2}=12.5\ in$

Now we know that the area of circle is equal to π times square of the radius.

framing in equation form, we get;

Area = $\pi \times12.5^2$

Now to find the part of the center to the whole target we will divide Area of center with Area of the target.

framing in equation form we get;

the part of the center to the whole target = $\frac{\pi \times2.5^2}{\pi \times12.5^2}= \frac{6.25}{156.25} = \frac{1}{25}$

Hence the center is $\frac{1}{25}$ of the whole target.

6 0

3 years ago

Which is the correct calculation of the y-coordinate of point A? 0 (0 - 0)2 + (1 - y2 = 2 O (0 - 1)² + (0- y2 = 22 (0-0)² + (1 -

dimaraw [331]

Answer:

The y-coordinate of point A is $\sqrt{3}$ .

Step-by-step explanation:

The equation of the circle is represented by the following expression:

$(x-h)^{2}+(y-k)^{2} = r^{2}$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $h = 0$ , $k = 0$ and $r = 2$ , then the equation of the circle is:

$x^{2} + y^{2} = 4$ (1b)

Then, we clear $y$ within (1b):

$y^{2} = 4 - x^{2}$

$y = \pm \sqrt{4-x^{2}}$ (2)

If we know that $x = 1$ , then the y-coordinate of point A is:

$y = \sqrt{4-1^{2}}$

$y = \sqrt{3}$

The y-coordinate of point A is $\sqrt{3}$ .

4 0

3 years ago

A basketball player made 80 baskets in a season. Of these, 20% were three-point shots. Determine the number of three-point shots

Amanda [17]

The answer is 16 three-point shots.
The way to do this is by doing 100 / 20 which is 5, and then you would do the total (80) divided by 5 which is 16

8 0

2 years ago

20 POINTS Please answer the question in the photo