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3 years ago

Please help me with this question

Mathematics

1 answer:

BartSMP [9]3 years ago

4 0

Answer:

$3x-28=2x+25\\x=53$

Step-by-step explanation:

Parallel lines cut by a transversal are two lines which do not cross intersected by a third line. Because lines such as m and n are parallel, we have angles which are equal to each other.

Corresponding Angles - angles located in the same position in each intersection. Can be shown by translating or sliding the angle down/up.
Alternate Interior Angles - angles located inside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.
Alternate Exterior Angles - angles located outside the parallel lines across the transversal. Can be shown by reflecting and translating or rotation.

Vertical angles - angles across a vertex from one another. Can be shown by reflection.

The angles shown here are located outside the parallel lines and across the transversal from each other. Therefore we have Alternate Exteroir angles and can set them equal to each other to solve for x.

$3x-28=2x+25\\3x-2x-28=2x-2x+25\\x-28=25\\x-28+28=25+28\\x=53$

We check our work and should get equal angles:

$3(53)-28=2(53)+25\\159-28=106+25\\131=131$

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Papessa [141]

Well, to get the x intercept you have to substitute 0 for y and solve for x, and get rid of the parenthesis ( y=2x+3*x-1*x-4 ) unless you want three different x-intercepts. So if you do want those three intercepts, leave the parenthesis.

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3 years ago

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sergij07 [2.7K]

Answer:

a = (3,6)

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c = (-12,-6)

Step-by-step explanation:

Multiply the values of the cordinates by the 3.

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2 years ago

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1/4 ÷ 2/3 show,step please

kicyunya [14]

$\frac{1}{4}$ ÷ $\frac{2}{3}$ is the equation

When dividing fractions, you "flip-flop" and multiply

So what that means is that you flip the second fraction and multiply

So $\frac{2}{3}$ is now $\frac{3}{2}$

Now the equation is $\frac{1}{4}$ × $\frac{3}{2}$ which equals $\frac{3}{8}$

Your answer is $\frac{3}{8}$

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3 years ago

A scale has a percent error of 5% the actual mass of a rock is 258g

Fittoniya [83]

245.1 and 270.9 since that actual weight of the rock is either 0.95 or 1.05 times the mass the scale shows.

If you want more explanation I'm more than happy to and I hope this helps:)

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2 years ago

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In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. What length o

Vaselesa [24]

Answer:

A gestation length of 279 days represents the 18th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days.

This means that $\mu = 284, \sigma = 5.5$