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EastWind [94]
2 years ago
7

The value of X in the figure ABCD witch is a rhombus

Mathematics
1 answer:
NeX [460]2 years ago
5 0

Answer:

  x = 10°

Step-by-step explanation:

The diagonals of a rhombus divide the figure into congruent right triangles. That means the two marked acute angles are complementary.

__

<h3>solve for x</h3>

Complementary angles total 90°, so the relation we can use to find x is ...

  (3x -13) +(8x -7) = 90

  11x = 110 . . . . . . . . . add 20

  x = 10 . . . . . . . . . divide by the coefficient of x

The value of x is 10°.

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galina1969 [7]
I think you can divide that number by either 1 or 0
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3 years ago
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The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly selected parts. The sample standard
luda_lava [24]

Answer: 0.3849

Step-by-step explanation:

Given : sample size : n= 51

sample standard deviation : s= 0.46

Significance level : \alpha=1-0.95=0.05

Using chi-square distribution, the critical values will be :

\chi^2_{\alpha/2, n-1}=\chi_{0.025,\ 50}=71.4202

\chi^2_{1-\alpha/2, n-1}=\chi_{0.975,\ 50}=32.3574

Confidence interval for population standard deviation (\sigma) :

\sqrt{\dfrac{s^2(n-1)}{\chi^2_{\alpha/2}}}

Substitute all the values , we get

\sqrt{\dfrac{(0.46)^2(50)}{71.4202}}

Hence, the 95% two-sided confidence interval for σ : 0.3849

8 0
3 years ago
Please help I don't understand!
Fiesta28 [93]

The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.

<h3>How to interpret similar triangles?</h3>

From triangle similarity theorems, we know that;

If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.

Now, from the given diagram, we see the ratio of corresponding sides are congruent as;

45/30 = 54/36 = 36/24 = 1.5

Thus, the triangles are similar by SSS similarity theorem

Read more about Similar Triangles at; brainly.com/question/14285697

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6 0
2 years ago
what is teh surface area of a rectangular prism, if its length is 17 meters, its width is 2 meters and its height is 3 meters
Len [333]

Answer:

102m^2

Step-by-step explanation:

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5 0
3 years ago
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The probability that Caroline wins a raffle is given by the expression
RSB [31]

Answer:  \frac{n-m}{n}

This is the same as writing (n-m)/n

Don't forget about the parenthesis if you go with the second option.

==================================================

Explanation:

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For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.

The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.

We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".

Doing a bit of algebra would have these steps

1 - \frac{m}{n}\\\\\frac{n}{n} - \frac{m}{n}\\\\\frac{n-m}{n}\\\\

and now the expression is one single fraction.

8 0
3 years ago
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