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cestrela7 [59]
1 year ago
10

Given Ray BA bisects ∠CBD and the diagram below, what is m∠ABD?

Mathematics
1 answer:
Illusion [34]1 year ago
8 0

The measure of the angle ∠ABD is 64 degrees

<h3>How to determine the measure of the angle?</h3>

From the question, we have the following parameters:

Ray BA bisects ∠CBD

∠CBD = 5x + 18

∠ABC = 3x - 2

Because of the bisection, we have

∠ABC = ∠ABD

∠ABC * 2 = ∠CBD

Substitute the known values in the above equation, so, we have the following representation

(3x - 2) * 2 = 5x + 18

Open the brackets

6x - 4 = 5x + 18

Evaluate the like terms

x = 2

Recall that

∠ABC = ∠ABD

So, we have

∠ABD = 3x - 2

This gives

∠ABD = 3 x 22 - 2

Evaluate

∠ABD = 64

Hence, the angle is 64 degrees

Read more about angles at

brainly.com/question/7620723

#SPJ1

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Answer:

μ ≈ 2.33

σ ≈ 1.25

Step-by-step explanation:

Each person has equal probability of ⅓.

\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]

The mean is the expected value:

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μ = (1) (⅓) + (2) (⅓) + (4) (⅓)

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The standard deviation is:

σ² = ∑ (X−μ)² P(X)

σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)

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σ ≈ 1.25

3 0
4 years ago
Help please this is urgent
yulyashka [42]

Answer:

64 degrees.

Step-by-step explanation:

This is because the arrow that is not horizontal is pointing to that number.

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25 points and brainliest if it's correct!
aleksandr82 [10.1K]

Answer:

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Step-by-step explanation:

3 0
2 years ago
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