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2 years ago

If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?

Mathematics

1 answer:

UNO [17]2 years ago

6 0

Answer:

x = 37

Step-by-step explanation:

Well if you didn't know vertical angles are congruent ( or equal to each other )

Which means that 74 = 2x

If we want to find the value of x, then we need to get rid of the "2" on 2x

To do so we can divide each side by 2

74 / 2 = 37

2x / 2 = x

we would be left with x = 37

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stiv31 [10]

Answer:

Simple random sampling

Step-by-step explanation:

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2 years ago

Martin can travel 174 miles in 3 hours. At this rate, how far can he travel in 7 hours?

Bas_tet [7]

Answer: 406 miles

Step-by-step explanation: First you have to figure out how many miles he traveles per hour and to do that you divide 174 by 3 to get 58. Then multiply that by 7 because that is the amount of hours he should be traveling to get 406

4 0

2 years ago

Read 2 more answers

A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence

Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

$n = 30$ -- sample size

$\bar x = 50$ -- sample mean

$\sigma = 10$ --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {30}}$

$\sigma_x = \frac{10}{5.478}$

$\sigma_x = 1.825$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.825$

$E = 3.577$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 3.577$

$Lower = 46.423$

$Lower = 46.4$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 3.577$

$Upper = 53.577$

$Upper = 53.6$ --- approximated

So, the 95% confidence interval is (46.4, 53.6)

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{10}{\sqrt {90}}$

$\sigma_x = \frac{10}{9.49}$

$\sigma_x = 1.054$

The 95% confidence interval for the z value is:

$z = 1.960$

Calculate margin of error (E)

$E = z * \sigma_x$

$E = 1.960 * 1.054$

$E = 2.06584$

The confidence bound is:

$Lower = \bar x - E$

$Lower = 50 - 2.06584$

$Lower = 47.93416$

$Lower = 47.9$ --- approximated

$Upper = \bar x + E$

$Upper = 50 + 2.06584$

$Upper = 52.06584$

$Upper = 52.1$ --- approximated

So, the 95% confidence interval is (47.9, 52.1)

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

$n = 30$ $E = 3.577$

In (b), we have:

$n = 90$ $E = 2.06584$

Notice that the margin of error decreases when the sample size increases.

4 0

2 years ago

Can someone show me how to solve either one of these?

Ludmilka [50]

Answer:

x = 2.3

Measure of arc XY = 76° ⇒ answer (D)

Step-by-step explanation:

∵ arc XY congruent to arc YZ

∴ XY = YZ ⇒ chords subtended by equal arcs are equal

∴ 3x = 6.9 ⇒ x = 6.9/3

∴ x = 2.3

In ΔOXY

∵ OX = OY radii

∴ m∠OXY = m∠OYX

∵ m∠OXY = 52°

∴ m∠OYX = 52°

∵ The sum of angles of a Δ = 180°

∴ m∠XOY = 180 - 2 × 52 = 76°

∵ ∠XOY is central angle subtended by arc XY

∴ The measure of arc XY = m∠XOY = 76°

7 0

2 years ago

Solve the equation below.

never [62]

Answer:

( c ) x = 2.5

Step-by-step explanation:

$3(17x - 6.5) = 108$

divide both side of the equation by 3...

$17x - 6.5 = 36$

$17x = 36 + 6.5$

$17x = 42.5$

$x = 2.5$

hence the value of x is 2.5...

8 0

1 year ago

Read 2 more answers

If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?​

If a vertical angle has 74 degree and also opposite angle is 2x degree ,what is value of x?