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galben [10]
3 years ago
8

Can someone pls help me with this question pls NUMBER 6

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

Supplementary angles definition: They add up to 180°

There are several ways to prove a parallelogram:

1. Opposite sides theorem converse

2. Opposite angles theorem converse

3. Parallelogram diagonals theorem converse

4. Parallel congruent sides theorem

∠P + ∠Q = 180° --1

∠P + ∠S = 180° --2

1: ∠P = 180° - ∠Q

Sub 1 into 2:

180° - ∠Q + ∠S = 180°

180° + ∠S = 180° + ∠Q

∠S = ∠Q

Or you can try saying the opposite sides are parallel, since they are interior angles and those are straight lines

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Help me pls i’m stuck
Karolina [17]

Answer:

m=1

Step-by-step explanation:

Slope is equal to the change in y over the change in x, or rise over run.

m=change in y / change in x

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } \\m=\frac{-3-1}{-3-1}

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2 years ago
Convert 25/6 into a mixed number
soldier1979 [14.2K]

Answer:

4 1/6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HighTech Inc. randomly tests its employees about company policies. Last year in the 560 random tests conducted, 26 employees fai
Tanzania [10]

Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that n = 560, \pi = \frac{26}{560} = 0.046

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.33.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

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3 years ago
What is 525/1000 in simplest form?
KiRa [710]
525/1000 = 105/200 = 21/40
8 0
3 years ago
What is the first step in solving the following system of equations?
Alex_Xolod [135]

Answer:

Solve the 1st equation for y and then you substitute the answer of the y value to the other equation to get the x value

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