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3 years ago

Given m||n, find the value of x. kt (7-10) (6x-5)°

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

Answer:

Step-by-step explanation:

So, leets look at the graph.

We can see that the lines being solved for tecnically make up 180 degrees.

This is because the value of the angles on line m are equal to the value of the angles on line n.

So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.

Lets combine these two equations, and subtract them from 180 degrees to solve for x:

7x-1+6x-5

13x-15

Now to solve for x:

13x-15=180

Add 15 to both sides to get 13x alone:

13x=195

Then divide both sides by 13 to get x alone:

x=15

So our value of x is 15!

Hope this helps! :)

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If you place a 17-foot ladder against the top of a 8-foot building, how many feet will the bottom of the ladder be from the bott

Goshia [24]

Answer:

15 feet

Step-by-step explanation:

This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.

The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.

1. Plug your given values correctly into the Pythagorean Theorem.

$a^{2} + b^{2} = c^{2}$

$8^{2} + b^{2} = 17^{2}$

2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).

$8^{2} + b^{2} = 17^{2}$ --> Square 8 and 17

$64 + b^{2} = 289$ --> Subtract 64 from both sides

$b^{2} = 225$ --> Square root both sides to get b by itself

b = 15

3. The distance is 15 feet

*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder

7 0

3 years ago

The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estima

Gelneren [198K]

Answer: .C. The population is the 10,900 respondents to the American Time Use Survey.

Step-by-step explanation:

In statistics , Population is refer to a large group of individuals or observations that have same characteristics.

A sample is a subset drawn from it.

We are given that "The 2015 American Time Use survey contains data on how many minutes of sleep per night each of 10,900 survey participants estimated they get. An SRS (simple random sample) of 100 of the participants has a mean time of x¯=514.4 minutes. "

i.e. The population is 10,900 respondents to the American Time Use Survey.

4 0

4 years ago

2y greater than or equal to -12-4y OR 2y>-14+6y

kirza4 [7]

Answer:

2y bigger or same -12-4y is correct

Step-by-step explanation:

Y=1

2=-12-4×1

2=-16

2 is bigger