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Alex Ar [27]
3 years ago
12

A circle is shown. Secant X Z and tangent W Z intersect at point Z outside of the circle. Secant X Z goes through the center of

the circle and intersects the circle at point Y. The length of W Z is k + 4, the length of Z Y is k, and the length of X Y is 12.
What is the length of line segment XZ?

4 units
8 units
16 units
20 units
Mathematics
1 answer:
andriy [413]3 years ago
7 0

Answer:

16

Step-by-step explanation:

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I need help with this please!!
topjm [15]

Answer:

8(3j -2)

4(6j -4)

Step-by-step explanation:

24j - 16

Rewriting

8*3*j - 8*2

Factor out the greatest common factor

8(3j -2)

We can also factor out 4

4*6j - 4*4

4(6j -4)

3 0
2 years ago
Read 2 more answers
Will give crown to best answer!!!!!!
timurjin [86]
The pair of points defines a line with a slope of -1 is C. (10,3) and (15,-2)
5 0
3 years ago
Give the domain and range of the relation
Sophie [7]

Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

Hope This Helps :)

6 0
2 years ago
The data shown represent the number of runs made each year during Bill Mazeroski’s career. Check for normality.
const2013 [10]

Answer:

The given data is not normal.

Step-by-step explanation:

We are given the following data:

30, 59, 69, 50, 58, 71, 55, 43, 3,  66, 52, 56, 62, 36, 13, 29, 17, 31

Condition for normality:

Mean = Mode = Median

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{800}{18} = 44.44

Mode is the most frequent observation of the data.

Since all the value appeared once, there is no mode.

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: 3, 13, 17, 29, 30, 31, 36, 43, 50, 52, 55, 56, 58, 59, 62, 66, 69, 71

Median =

=\dfrac{9^{th}+10^{th}}{2} = \dfrac{50+52}{2}=51

Since the mean, mode and median of data are not equal, the data is not normal.

7 0
3 years ago
What will be the area of the given shape? (please help)
Leni [432]

Answer:

620

Step-by-step explanation:

To find the area of strangely-shaped structures, like this one, it is easiest if we cut the shape into smaller, more recognizable, shapes..

We can first cut off the top/center rectangle of this shape , which has a width of 10, and a length of 12. The "area" is length × width.

So, we multiply 12 × 10 to find the area of this section.

12 × 10 = 120

if we look at the bottom half, we can see that there is an identical rectangle (because it has the same width of 10 and length of 12) ! So, we can simply add 120 to our total twice to count both of these areas.

(when putting areas of multiple portions together, we add--not multiply)

  120 (first/top rectangle)

+ 120 (lower rectangle)

_______________

   240

So, our area so far is 240.

Now, we need to find the horizontal (left-right) section of this shape.

We can see that it has a width of 10 (look at the right end), and a length of 38      14 + 10 + 14 (38 total)

So, to find the area of this portion, we will multiply its length × width, which we know is: 38 × 10

38 × 10 = 380.

So, we can now add our areas together:

  240

+ 380

__________

  620

So, our area of this shape is 620

6 0
1 year ago
Read 2 more answers
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