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3 years ago

Please Show Work.

Mathematics

1 answer:

Elanso [62]3 years ago

7 0

Answer:

The angle x is equal to 30°.

Step-by-step explanation:

We are given that

Lines A and B are parallel.
These lines are transversed by Line C.

We can find out what angle is the supplement of 150° by setting up a simple equation.

$\text{150 + x = 180}\\\\\text{x = 30}$

Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.

Therefore, the angle that is to the top right of x is equal to 150°.

Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.

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Answer:

√254 feet

Step-by-step explanation:

This is basically a triangle, with a height of 2, and hypotenuse of 16.

Using the Pythagorean theorem (a^2+b^2=h^2) we can find the other side.

2^2+b^2=16^2

4+b^2=256

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3 years ago

The store price of a jeans is $50. If the discount given by the store is 45%, calculate the discount amount offered by the store

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Step-by-step explanation:

50+45%=72.5

50-45%=27.5

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3 years ago

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A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of

svp [43]

Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

To learn more about Hypothesis testing, refer:

brainly.com/question/4232174

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1 year ago

What is the equation of the line x–3y=18in slope-intercept form?

Alekssandra [29.7K]

Answer:

$y=\frac{1}{3} x-6$

Step-by-step explanation:

Write down the slope-intercept form:

$y=mx+b$

Where m is the slope and b is the y-intercept.

To turn the equation into slope-intercept form, isolate y on the left-hand side:

$x-3y=18\\-3y=18-x\\y=-6+\frac{x}{3} \\$

Rearrange the equation a bit:

$y=\frac{1}{3} x-6$

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