All categories

3 years ago

Find the value of x.

Mathematics

2 answers:

antoniya [11.8K]3 years ago

8 0

Answer:

The value of x is 120°

Step-by-step explanation:

We should draw a line parallel to the given parallel lines and passes through the vertex of the measure x and divides it into two angles of measures x1 and x2, look at the attached figure

In the given figure

∵ The dashed line is parallel to the given line up

∴ The angle of the measure 70° and the angle x1 are alternate angles

∵ The alternate angles are equal in measures

∴ x1 = 70°

∵ The dashed line is parallel to the given line down

∴ The angle of the measure 50° and the angle x2 are alternate angles

∵ The alternate angles are equal in measures

∴ x2 = 50°

∵ x = x1 + x2

∴ x = 70 + 50

∴ x = 120°

∴ The value of x is 120°

Helen [10]3 years ago

7 0

Answer:

x= 120

Step-by-step explanation:

Alternated angles are 50 and 70

Angles of a triangle sum 180

y+x (linear pair)

You might be interested in

PLEASEE GUYS HELP ME WITH THIS QUESTION!!!!

MArishka [77]

Answer:

y= = -2

Step-by-step explanation:

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.

5 0

3 years ago

Dose 36 go into 50? Plzz help

Alik [6]

<span>Just once with a remainder of 14
</span><span>
</span>

8 0

4 years ago

Read 2 more answers

Is it...

Art [367]

The transformations done are option A. A reflection over the y-axis, then a reflection over the x-axis

Step-by-step explanation:

Step 1:

First, we plot the points of triangle ABC and A''B''C''.

The points of triangle ABC are A (-8, -5), B(-4, -3), and C(-4,-7).

The points of triangle A''B''C'' are A'' (8, 5), B'' (4, 3), and C'' (4,7).

The points of both triangles ABC and A''B''C'' are the same values but different symbols for x and y values.

Step 2:

If a shape is reflected across an axis, the values remain the same but the symbols vary according to the quadrant.

If a shape is translated, all coordinates of all the points vary accordingly.

As triangles ABC and A''B''C'' have exactly the same coordinates it means that two reflections have occurred but no translations have occurred.

So the answer is the option with two reflections. So option A. A reflection over the y-axis, then a reflection over the x-axis is the answer.

4 0

3 years ago

A pollster uses a computer to generate 500 random numbers and then interview the voters corresponding to those numbers. identify

Bond [772]

Answer: D. Simple Random Sampling

Step-by-step explanation: When selection is made or based on chance which is equal or the same for all members within a population. In the scenario described above, there is no prior shuffling, arrangement or segregation of members within the population into groups or subgroups, rather the interviewed voters were chosen at random directly from within the larger population based on equal chance. Therefore voters already have their numbers, then using a random number generator, voters whose number corresponds were interviewed is a clear scenario of simple Random Sampling.

4 0

3 years ago

As part of their business promotional package, the Milwaukee Chamber of Commerce would like an estimate of the mean cost per mon

Morgarella [4.7K]

Answer:

a) $884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

b) For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=884$ represent the sample mean

$\mu$ population mean (variable of interest)

s=50 represent the sample standard deviation

n=40 represent the sample size

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=40-1=39$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,39)".And we see that $t_{\alpha/2}=2.426$

Now we have everything in order to replace into formula (1):

$884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

Part b

For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

3 0

3 years ago