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Evgesh-ka [11]
2 years ago
7

Identify two pairs of vertical angles.*

Mathematics
1 answer:
xxMikexx [17]2 years ago
3 0
Answer- A

1 and 4, 6 and 7

Explanation- vertical angles are each of the pairs of opposite angles made by two intersecting lines.
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Solve for the values of x and y in the diagram
qaws [65]

Answer: y = 0.5, x = 50

Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:

a triangle has 180 degrees so we subtract the given 50 which gives us 130

2(2y + 64) = 130

4y + 128 = 130

y = .5

This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:

2(45 - x/4) = 65

x = 50

This means the bottom 2 angles of the second triangle are both 32.5.

7 0
2 years ago
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Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
The two triangles are similar to each other. How long is the side labeled “?”
Mandarinka [93]

Answer:

12

Step-by-step explanation:

The smaller triangle seems to have dilated and formed the larger triangle. So, let's find the factor of increase.

9 / 3 = 3, so 3 is the factor of increase.

Now we need to do 4 x 3 = 12

So, ? = 12

<em>Hope that helps!</em>

<em>-Sabrina</em>

8 0
3 years ago
If a woman making $25 an hour gets a
Leno4ka [110]

Step-by-step explanation:

She gets $220 in an 8 hour work day.

6 0
3 years ago
Help someone if you not sleep please
mart [117]

Hello from MrBillDoesMath!

Answer:

+\- 10i

Discussion:

Fortunately, I can do this one in my sleep...... );


+\- sqrt(-100)  =

+\- 10 i                         where i = sqrt(-1)


Thank you,

MrB

8 0
3 years ago
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