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ValentinkaMS [17]
3 years ago
13

Can someone help me with these two proof questions?

Mathematics
1 answer:
timurjin [86]3 years ago
6 0

The proofs of above Questions is in attachment !

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What is the value of x?
Dmitriy789 [7]
You have to start with the left triangle and find the side lengths. Since it is a 45-45-90, both sides are the same. Rule for this is hyp= sqrt2 * leg
Since hyp = 6sqrt2, the leg is 6.
The leg is also the hypotenuse of the triangle on the right side.
x is the side across from the hypotenuse and it is the short leg so x = (1/2)6
x = 3
3 0
3 years ago
How many 1/8 make a 1/4?
Dmitry_Shevchenko [17]

Answer:

2

Step-by-step explanation:

1/8+1/8= 2/8=1/4

8 0
3 years ago
Read 2 more answers
Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enoug
zepelin [54]

Answer:

W > 0.5L

Perimeter:

2L + 2W < 180

2L + 2(0.5L) < 180

2L + 1L < 180

3L < 180

÷3       ÷3

 L < 60

Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.

4 0
3 years ago
Read 2 more answers
Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th
Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 21-1 = 20.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have T = 2.528

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{0.40}{\sqrt{21}} = 0.0873

Now, we multiply T and s

M = 2.528*0.0873 = 0.2207

Then

The lower end of the interval is the mean subtracted by M. So:

L = 3.27 - 0.2207 = 3.0493

The upper end of the interval is the mean added to M. So:

LCL = 3.27 + 0.2207 = 3.4907

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0
3 years ago
The replacement set for an equation is {10, 24, 25, 36}. The equation is represented by the sentence, "56 of a number is 30." Wh
Margaret [11]

Answer:

The answer is {36}

Step-by-step explanation:

I took the quiz hope this helps

4 0
3 years ago
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