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koban [17]
3 years ago
11

Find the value of x for which line a is parallel to line b.

Mathematics
1 answer:
mote1985 [20]3 years ago
7 0

Answer:

A. x=34^o

Step-by-step explanation:

We have been given a graph of two parallel lines and we are asked to find the value of x.

We can see that angle that measure x and the angle that measure 34 degrees is inside our parallel lines a and b and on the opposite side of transversal, so these angles are alternate interior angles.

Since the alternate interior angles are equal, therefore, value of x is 34 degrees and option A is the correct choice.  

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

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Step-by-step explanation:

We are given the data for  prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141        

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

\text{Range} = 234-119 = 115\$

Standard Deviation:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1356}{8} = 169.5

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 +  2352.25 + 1406.25 + 552.25 + 812.25 = 13406

\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$

Variance =

\sigma^2 = 1915.142\$

Measure of variance for someone searching for room:

Option  A) The measures of variation are not very useful because when searching for a​ room, low​ prices, location, and good accommodations are more important than the amount of variation in the area.

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A factory has a linear cost function f(x)=ax+b where b represents fixed costs and a represents the labor and material costs of m
kotegsom [21]
C . the graph will shift upwards because it is increasing on a graph
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