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Irina-Kira [14]
3 years ago
11

What’s is the value of n? HELP ASAP PLEASE

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

The answer should be 69°

Step-by-step explanation:

Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°

1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°

2. On the top left you have 131° so 180°-131°=49°

Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.

3. 20°+49°=69°

4. 180°-69°=111°

Then you do the same thing as the beginning which would be n°+111°=180°

5. n°+111°=180°, that means n=69°

Hopefully that clears it up for you :)

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Given f of x is equal to the quantity x minus 4 end quantity divided by the quantity x squared plus 13x plus 36 end quantity, wh
gavmur [86]

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4.The correct answer is option C.

<h3>What is a function?</h3>

A function is defined as a relation between the set of inputs having exactly one output each.

The function expression is given as:

f(x) =\dfrac{x-4}{x^2+13x+36}

Expand the denominator

f(x) =\dfrac{x-4}{x^2+4x +9x+36}

Factorize the denominator

f(x) =\dfrac{x-4}{x(x+4)+9(x+4)}

Factor out x + 9

f(x) = \dfrac{x-4}{(x+9)(x+4)}

The simplified expression of the function f(x) =\dfrac{x-4}{x^2+13x+36} is

f(x) = \dfrac{x-4}{(x+9)(x+4)}. f(x) is increasing for all x > –4

Read more about functions at:

brainly.com/question/1851758

#SPJ1

8 0
2 years ago
Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.
Damm [24]

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

8 0
2 years ago
At a certain time of day, a tree that is x meters tall casts a shadow that is x−46x−46 meters long. if the distance from the top
Alexus [3.1K]
By the Pythagorean theorem,
.. x^2 +(x -46)^2 = (x +4)^2
.. 2x^2 -92x +2116 = x^2 +8x +16
.. x^2 -100x +2100 = 0
.. (x -50)^2 -400 = 0
.. x = 50 ±20 . . . . . only x=70 makes any sense in the problem

The height, x, of the tree is 70 meters.
5 0
3 years ago
*EXTRA POINTS*
SashulF [63]

Answer:

geometric sequence

ratio

2

3 0
3 years ago
A ladder reaches the top of a 20 foot building. the ladder is 4.5 feet away from the building. how long is the ladder?
KATRIN_1 [288]

Answer:

C

Step-by-step explanation:

do that with pithagoras:

20² + 4,5² = x²

400 + 20,25 = x²

420,25 = x²

x = \sqrt{420,25}

x ~ 20,5

Letter C: 20,5 feet

4 0
2 years ago
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