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3 years ago

Measure of Angle 1 is 5x. Measure of Angle 3 is x-24. What is the measure of Angle 1?

Mathematics

1 answer:

olga55 [171]3 years ago

4 0

Answer:

The answer to your question is: 30°

Step-by-step explanation:

Data

m∠ 1 = 5x

m∠ 3 = x - 24

Process

m ∠ 1 = m ∠ 3 because they are vertical angles

5x = x - 24

5x - x = 24

4x = 24

x = 24 / 4

x = 6

Angle 1 = 5(6)

= 30°

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Brilliant_brown [7]

Answer:

22.5

Step-by-step explanation:

since 2.25 divided by 0.10 is 22.5 so she can message 22.5 friends

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2 years ago

Write the quadratic equation whose roots are, -4 and 6 and whose leading coefficient is 4

Hitman42 [59]

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1 year ago

a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from so

Romashka [77]

Answer:

Velocity of plane is 100 mi/hr along northeast direction

Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

where is the velocity of plane = 150mi/hr and = velocity of wind = 50 mi/hr

Therefore, = alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction

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2 years ago

A savings account accrues interest at a rate of 7.0% yearly. if someone opens an account with $20,000, how much money would the

andrey2020 [161]

7% of $20,000 is $1,400 $1,400(4)=$5,600 so it would be $25,600.

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3 years ago

Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United Sta

nignag [31]

Answer:

a) 30.08% probability the sample mean will be within $100 of the population mean.

b) 0% probability the sample mean will be greater than $12,600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .