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Brilliant_brown [7]
3 years ago
9

How to find x in a triangle with exterior angles

Mathematics
1 answer:
Temka [501]3 years ago
8 0
Since RS and ST are congruent sides, angles SRT and STR will be equal. Also, angles STU (5x) and STR added together equals 180. Therefore angles STU and SRT will also equal 180. All that's left to do is set up the equation and solve. 5x - 30 + 5x = 180.
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Brian usually brushes his teeth in the morning, but 10% of the time he forgets. What is the probability that he will forget to b
Katena32 [7]

Using it's concept, it is found that there is a 0.001 = 0.1% probability that he will forget to brush his teeth three days in a row.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, for each day, there is a 0.1 probability that he forgers to brush his teeth, and days are independent, hence for 3 consecutive days the probability is given by:

p = (0.1)³ = 0.001.

More can be learned about probabilities at brainly.com/question/14398287

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5 0
2 years ago
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3 years ago
Find the geometric mean of 4 and 12.
vagabundo [1.1K]

Answer:

The Geometric Mean of 4 and 12 is 6.9

Step-by-step explanation:

4 0
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What is the length of AC? What is the measure of angle A? What is the measure of angle B?
kipiarov [429]

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

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✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

6 0
3 years ago
Suppose a parabola has an axis of symmetry at x = -2, a minimum height at -6, and passes through the point (0, 10). Write the eq
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What answer choices that you have 
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