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11-18 please help with work shown I’m lost completely

Ray Of Light [21]

Answer:

11. A)45°

12. A)45°

13. A)45°

14. B)180°

15. C)65°

16.D)135°

17. A)115°

18. B)180°

Step-by-step explanation:

An arc measure is defined as the measure of an angle an arc creates in a circle's center.

11.#from properties of a circle, we know arcs of a circle are proportional to their corresponding angle

$\angle DXB=arc \ DC\\\\45\textdegree=arc \ DC$

Hence, the arc measure DC is 45°

12.#from properties of a circle, we know arcs of a circle are proportional to their corresponding angle

Let x be the center of the circle;

$\angle AXB=arc \ AB\\\\45\textdegree=arc \ AB$

Hence, the arc measure AB is 45°

13. Given BE is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

$\angle BXE=\angle BXA+\angle AXE=180\textdegree\\\\\angle AXE=180\textdegree-45\textdegree\\\\=135\textdegree$

Also, given AD is a diameter:

$\angle AXD=\angle EXD+\angle AXE=180\textdegree\\\\\angle EXD=180\textdegree-135\textdegree\\\\=45\textdegree$

Hence, the arc measure ED is 45°

14.Given AD is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

Hence, the arc measure ABD is 180°

15. Given AD is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

$\angle AXD=\angle AXB+\angle BXC+\angle CXD=180\textdegree\\\\\angle BXC=180\textdegree-45\textdegree-70\textdegree\\\\=65\textdegree$

Hence, the arc measure BC is 65°

16. #from properties of a circle, we know arcs of a circle are proportional to their corresponding angle:

$\angle BXD=\angle BXC+\angle CXD=\\\\\angle BXD=70\textdegree+65\textdegree\\\\=135\textdegree$

Hence, the arc measure BD is 135°

17. From a3 above, we know the arc measure ED is 45°. The arc measure of CED is equivalent to ED plus CD:

$\angle CED=\angle DXE+\angle CXD=\\\\\angle BXD=70\textdegree+45\textdegree\\\\=115\textdegree$

Hence, the arc measure CED is 115°

18.Given AD is a diameter, we know from properties of a circle that the angle subtending it is equal to 180°.

Hence, the arc measure ADB is 180°

8 0

4 years ago

Write down the inequality described by "half of x is no more than three", and solve for x.

emmainna [20.7K]

Answer:

Inequality: $\frac{x}{2} \leq 3$

Solved: $x\leq 6$

Step-by-step explanation:

$\frac{x}{2} \leq 3$

$x\leq 6$

7 0

3 years ago

The company has only two division division eight and division be last year division a made 60% of the companies total revenue an

MAVERICK [17]

9514 1404 393

Answer:

Division A

Step-by-step explanation:

Suppose last year's revenue for the company was 100 units.

Last year's Division A revenue was 0.60×100 = 60. This year's revenue is 1-35% = 65% of last year's, so is ...

60 × 0.65 = 39 . . . . units

__

Last year's Division B revenue was 0.40×100 = 40. This year's revenue is 1-5% = 95% of last year's, so is ...

40 × 0.95 = 38 . . . . units

__

At 39 units this year, Division A still has the higher revenue than Division B at 38 units.

3 0

3 years ago

Exciting Entertainment

Free_Kalibri [48]

We can deduce that the student's gender provides information about their entertainment choices.

<u>Given the following data:</u>

Expenses on digital music = $2.6 billion dollars.

Expenses on video games = $24.7 billion dollars.

<h3>Describing and analyzing the data.</h3>

The data was gathered from a random survey which was conducted by sixth-grade students to determine the number of digital music (songs) that was downloaded by each student to their respective media player in the past two months as shown in the table in the image attached below.

<h3>What is a median?</h3>

A median can be defined as the <u>middle number</u> (center) of a sorted data set, which is when the data set is arranged from the least to greatest (ascending order) or greatest to least (descending order).

<u>For the </u><u>girls</u><u>:</u>

Median = 50.

Median = 33.

A mean refers to a ratio of the sum of the total number in a data set to the frequency of the data set.

<u>For the </u><u>girls</u><u>:</u>

Mean = 46.

Mean = 34.

In this context, we can deduce that the student's gender provides information about their entertainment choices.

Read more on median here: brainly.com/question/9550536

4 0

3 years ago

2x+y+2z=7, 2x-y+2z=1, 5x+y+5z=13

vodomira [7]

Answer:

y = 3

x = 2 - z

Step-by-step explanation:

We have the system:

2*x+y+2*z=7

2*x-y+2*z=1

5*x+y+5*z=13

In the first and second equations we have the term (2*x + 2*z) = A

Then we can rewrite the first two equations as:

A + y = 7

A - y = 1

isolating A in the first equation, we get:

A = 1 + y

Now we replace this in the other equation:

(1 + y) + y = 7

1 + 2*y = 7

2*y = 6

y = 3.

then:

A + y = 7

A + 3 = 7

A = 7- 3 = 4

A = 2*x + 2*z = 4.

Now let's go to the third equation:

(5*x + 5*z) + y = 13

we can rewrite the thing inside the parentheses as:

(5/2)*(2*x + 2*y) + y = 13

And we know that:

2*x + 2*z = 4

y = 3

then this can be written as:

(5/2)*(4) + 3 = 5*2 + 3 = 13

Then we can conclude that:

y = 3

2*z + 2*x = 4

2*(z + x) = 4

(z + x) = 4/2 = 2

x = 2 - z

Notice that the solution is not only a point, we have infinite solutions for this problem.

3 0

3 years ago