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Talja [164]
3 years ago
15

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​

Mathematics
1 answer:
mash [69]3 years ago
8 0

Answer:

First, these angles are alternate interior angles.

10x - 5 = 9x + 1

x = 6

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

10x - 5 = 9x + 1

Solve for x. Collect like terms

10x - 9x = 5 + 1

x = 6

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9 1/5 into an improper fraction
vaieri [72.5K]

Answer:

46/5 hope it helps!

Step-by-step explanation:

9x5= 45

45+1= 46

46/5

7 0
3 years ago
The slope, m, of a linear equation can be found using the formula m = , where the x- and y-values come from two ordered pairs,
Westkost [7]
The formula is y=mx + b, or rearranged would be m= y/x -b/x.
7 0
4 years ago
I need helpppp (10 points )
irga5000 [103]

Answer:  The flagpole is about 22.3 feet tall.

This is roughly the size of a two story building, assuming each floor is 10 feet or so.

Since this height is under 25 ft, this flagpole is in compliance with the regulation.

=====================================================

Work Shown:

The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.

The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.

Use the tangent rule to connect the opposite and adjacent sides.

Solve for x.

tan(angle) = opposite/adjacent

tan(25) = (x-5.5)/36

36*tan(25) = x-5.5

x-5.5 = 36*tan(25)

x = 36*tan(25)+5.5

x = 22.28707569358

x = 22.3 ft is the approximate height of the flagpole

Make sure your calculator is in degree mode.

The height is not over 25 ft, so this flagpole meets the requirements.

4 0
3 years ago
This makes no sense to me keep getting the wrong answers when i try to figure it out
satela [25.4K]
To solve this problem, you'd want to start by finding the mean of the given numbers. To find the mean, add all the numbers together and divide by how many there are.

Next, you'll see that the question says one of the rents changes from $1130 to $930. So find the mean of all the numbers again, except include $930 in your calculation instead of $1130.

I got $990 as the mean for the given numbers, and $970 as the mean after replacing the $1130 with $930. Subtracting the two means gives you $20. So the mean decreased by $20.

Now for the median, all you need to do is find the median of the given numbers and compare them with the median of the new data. Because there are ten terms, you have to add the middle two numbers and divide by two. $990 + $1020 = 2010. 2010÷2 = $1005 as the first median.

The new rent is 930, so you have to reorder the data so it goes from least to greatest again. 745, 915, 925, 930, 965, 990, 1020, 1040, 1050, 1120. After finding the median again you get 977.5. Subtracting the two medians gives you $27.5 as how much the median decreased. Hope this helps!
4 0
3 years ago
A 17.7-inch-thick layer of ash and pumice has already settled onto the Forum, which is 520 feet long by 109 feet wide. What is t
valentinak56 [21]

Answer:

so if im right, and i dont think i am, the volume should be 83603 feet^3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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