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siniylev [52]
2 years ago
14

WZ and XR are diameters of circle C. The diagram is not drawn to scale. What is the measure of ZWX?

Mathematics
1 answer:
Inessa05 [86]2 years ago
7 0

Answer:

Measure of arc ZWX is <u>230°.</u>

Step-by-step explanation:

Given:

arc WX = 50°

Now

The diameter divide a circle into two equal parts

so

arc\ ZWX=arc\ ZRW+arc\ WX

Since WZ is diameter of the circle.

arc\ ZRW=180\°

substituting in above equation we get

arc\ ZWX=180\°+50\°=230\°

Hence Measure of arc ZWX is <u>230°.</u>

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One endpoint of a line segment is located at (-15, -3). The other
m_a_m_a [10]

The ordered pair for the other end is (35, 3).

Here, first endpoint = (-15, -3)

Midpoint = (10, 0)

From the midpoint formula, we know that:

M = (x1 + x2)/2 , (y1 + y2)/2

So, here M = (10, 0)

x2 = -15

y2 = -3

We will separate the equation (1), in two parts to get the value of x1 and y1.

(x1 + x2)/2 = 10 and (y1 + y2)/2 = 0

For x1,

(x1 + (-15))/2 = 10

x1 = 35

For y1,

(y1 + (-3))/2 = 0

y1 = 3

So, x1 = 35 and y1 = 3.

Therefore, the ordered pair that represents the other end of the segment is (35, 3).

Learn more about midpoint formula here -

brainly.com/question/11085164

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6 0
11 months ago
Find the sum of the interior angles of a regular 29-gon.
aev [14]

Woah! A 29-gon. Impressive!

Sum of angles = 180(n-2) [where n is equal to the number of sides]

180(29-2)

180(27)

The sum of the interior angles of a regular 29-gon is 4860 degrees.

Hope that helps!


6 0
3 years ago
There are six children in a family. Five of them are respectively 2, 6, 8, 12 and 14 years older than the youngest, and the age
german

The youngest is 5 years old

Step-by-step explanation:

The prime numbers are the numbers that have only two factors

1 and itself

Example: 2, 3, 5, 7, 11, 13, 17, 19, 23, .......

There are six children in a family

  • Five of them are respectively 2, 6, 8, 12 and 14 years older than the youngest
  • The age of each child is a prime number

We need to find the age of the youngest

Assume that the age of the youngest is x years old

∵ The age of the youngest is x years old

∵ The ages of other children are respectively 2, 6, 8, 12 and 14 years

   older than the youngest

∴ The ages of other children are respectively

→ x + 2

→ x + 6

→ x + 8

→ x + 12

→ x + 14

∵ The age of each child is a prime number

- Let us chose x from the list of the prime number above to find the

  correct x which makes all the ages are prime

If x = 2

∵ x + 2 = 2 + 2 = 4 ⇒ not prime

∴ x can not be 2

If x = 3

∵ x + 2 = 3 + 2 = 5 ⇒ prime

∵ x + 6 = 3+ 6 = 9 ⇒ not prime

∴ x can not be 3

If x = 5

∵ x + 2 = 5 + 2 = 7 ⇒ prime

∵ x + 6 = 5 + 6 = 11 ⇒ prime

∵ x + 8 = 5 + 8 = 13 ⇒ prime

∵ x + 12 = 5 + 12 = 17 ⇒ prime

∵ x + 14 = 5 + 14 = 19 ⇒ prime

∴ x can be 5

∵ The ages of the children are 5 , 7 , 11 , 13 , 17 , 19

∵ All the ages are prime numbers

∴ The age of the youngest is 5 years

The youngest is 5 years old

Learn more:

You can learn more about prime numbers in brainly.com/question/4550858

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
What is ____ of the x-intercept is
posledela
The answer is b. Y-coordinate.
I just looked it up.
8 0
3 years ago
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
e-lub [12.9K]

Answer with Step-by-step explanation:

Since the given event is binary we can use Bernoulli's probability to sove the problem

Thus for an event 'E' with probability of success 'p' the probability that the event occurs 'r' times in 'n' trails is given by

P(E)=\frac{n!}{(n-r)!\cdot r!}\cdot p^{r}\cdot (1-p)^{n-r}

Part a)

For part a n = 11 , r =9, p = 0.75

Applying values we get

P(E)=\frac{11!}{(11-9)!\cdot 9!}\cdot (0.75)^{9}\cdot (1-0.75)^{11-9}\\\\\therefore P(E)=0.2581

Part b)

For part b n = 20 , r = 16 , p=0.75

Applying values we get

P(E)=\frac{20!}{(20-16)!\cdot 16!}\cdot (0.75)^{16}\cdot (1-0.75)^{20-16}\\\\\therefore P(E)=0.1896

3 0
3 years ago
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