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Stels [109]
3 years ago
8

Clara writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a

parallelogram: ​

Mathematics
1 answer:
zheka24 [161]3 years ago
7 0

Answer:

  CPCTC

Step-by-step explanation:

Statements 3 and 4 show the top and bottom triangles are congruent, and the left and right triangles are congruent. Statement 5 is making use of these facts to claim that the alternate interior angles are congruent. This claim is valid because ...

  Corresponding Parts of Congruent Triangles are Congruent (CPCTC)

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7.
anzhelika [568]
The answer is D as said above
8 0
3 years ago
Which of the following estimates at a 95% confidence level most likely comes from a small sample?
dusya [7]
<span>The <u>correct answer</u> is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.

First we <u>find the value of z</u>:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
7 0
3 years ago
How do I solve for an answer for this? <br> 16k-24<br> Find the GCF
34kurt
U have to find the prime factors of each term to find the GCF but the answer is 8
3 0
3 years ago
Find the value of x with the steps
Mrrafil [7]
Two sides are same so that would be isosceles triangle. So then you would add up all angles and get this equation: 180 = 38 + x + x

2x = 142

x = 71

So the value of x is 71.
4 0
3 years ago
Sara poured 3/4 of the juice from a 2 liter bottle while serving guests at a party how many Juice in liters is still left in the
Temka [501]
There is now 1/4 or half a liter left of juice still.
6 0
3 years ago
Read 2 more answers
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