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3 years ago

Find the value of x .

Mathematics

2 answers:

ohaa [14]3 years ago

7 0

Answer:

$x=18$

Step-by-step explanation:

$(4x-11)\\(2x+25)$

According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."

This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:

$4x-11=2x+25$

Add $11$ to both sides of the equation:

$4x=2x+36$

Subtract $2x$ from both sides of the equation:

$2x=36$

Divide both sides of the equation by the coefficient of $x$ , which is $2$ :

$x=18$

Check your work by substituting $18$ for $x$ in the initial equation:

$4(18)-11=2(18)+25$

$61=61$

It's correct!

zlopas [31]3 years ago

3 0

Answer:

Step-by-step explanation:

From the given figure, we can see that angle (4x - 11) will be equal to angle 1 since they are corresponding angles

We notice that angle 1 is vertically opposite to angle (2x + 25)

Hence,

angle (4x - 11) = angle 1 = angle (2x + 25)

So, we can say that angle (4x - 11) = angle (2x + 25)

Now, solving for x:

4x - 11 = 2x + 25

2x = 36

x = 18

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Julia bought stock at $281/8 per share. The value of each share increased by $65/8. How much is each share of stock now worth?

const2013 [10]

The worth of the share of stock is $ $34\frac{3}{4}$ .

<h3>What is the worth of the stock now?</h3>

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.

A mixed fraction is a fraction that is made up of a whole number and a proper fraction. A proper fraction is a number where the numerator is less than the denominator.

The worth of the stock now = purchase price + increase in the share price

28 1/8 + 6 5/8

$34 \frac{1 + 5}{8}$

$34\frac{6}{8}$ = $34\frac{3}{4}$

To learn more about fractions, please check: brainly.com/question/1114498

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9 months ago

When u round to the nearest hundred thousand the population of the state of North Carolina is 9,800,000. Which could be the exac

rjkz [21]

Answer:

D - 9,848,060

Step-by-step explanation:

In the number 9,848,060 the number 8 is in the hundred thousands place.

The number behind it is 4, which is nor equal to or more than 5, meaning that that the 8 stays the same.

6 0

3 years ago

If the distribution is really (5.43,0.54)

defon

Answer:

0.7486 = 74.86% observations would be less than 5.79

Step-by-step explanation:

I suppose there was a small typing mistake, so i am going to use the distribution as N (5.43,0.54)

Problems of normally distributed samples 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.

The general format of the normal distribution is:

N(mean, standard deviation)

Which means that:

$\mu = 5.43, \sigma = 0.54$