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Sever21 [200]
3 years ago
10

the measures of two angels are (5x+24) and (9x-17). what is the value of x if these angels are congruets

Mathematics
1 answer:
qaws [65]3 years ago
3 0
You set the expressions equal to each other since they are congruent, then solve. 
5x + 24 = 9x - 17
First subtract 24 from both sides to get
5x = 9x - 41
The subtract 9x from both sides to get
-4x = -41
Then divide both sides by -4 to get
x = 41/4 or as a decimal x = 10.25
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Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passe
satela [25.4K]

Answer:

The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

Step-by-step explanation:

The probability of a component passing the test is, P (S) = 0.79.

The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.

Three components are sampled.

Compute the probability of the test result as SFS as follows:

P (SFS) = P (S) × P (F) × P (S)

            =0.79\times0.21\times0.79\\=0.131061\\\approx0.1311

Compute the probability of the test result as SSF as follows:

P (SSF) = P (S) × P (S) × P (F)

            =0.79\times0.79\times0.21\\=0.131061\\\approx0.1311

Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.

7 0
3 years ago
What is the product of the coordinates of the midpoint of a line segment with endpoints at (1,1) and (-7,5)?
puteri [66]

9514 1404 393

Answer:

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Step-by-step explanation:

The midpoint of a line segment is the average of the end point coordinates:

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Answer:

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Step-by-step explanation:

If \bold{\theta = 135^{\circ}}

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Put the value in the above formula:

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3 years ago
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