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1 year ago

Find the value of that makes m ll n.

Mathematics

1 answer:

Alja [10]1 year ago

8 0

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

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What is the simplest form of the ratio 11 : 16? A. 1 : 6 B. 5 : 8 C. 11 : 16 D. 22 : 32

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Answer:

Step-by-step explanation:

c because 11 and 16 have no GCF other than 1

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2 years ago

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Jake built a skateboard ramp, if the distance of the ramp is 10 ft. The ramp rises a

ikadub [295]

Answer:

Angle made by ramp with ground is ≈ $19.29^{\circ}$

Step-by-step explanation:

Diagram of given scenario is shown below.

Given that,

Horizontal Distance of Skateboard ramp is $10$ ft.

Height of Skateboard ramp is $3.5$ ft.

From figure,

It is forming a Right angle triangle $\triangle ABC$ .

In $\triangle ABC$ , $AB=3.5$ and $BC=10$ .

Clearly see that we need to find measure of angle $\angle C$ .

Using Trigonometric ratio:

$Tan(\theta)= \frac{Perpendicular}{Base}$

So, $Tan(\angle C) = \frac{AB}{BC} =\frac{3.5}{10} =0.35$

Then $\angle C=Tan^{-1} (3.5)=19.290046^{\circ}$

Therefore, Angle made by ramp with ground is ≈ $19.29^{\circ}$

8 0

2 years ago

Pls help if u can 6thgrade math

motikmotik

Answer:

Greatest number: 9

Least number: 2

Range: 7

Step-by-step explanation:

From smallest to largest, the numbers are: 2, 3, 6, 8, 9. The largest (greatest) is 9 and the least (smallest) is 2. The range is 9-2=7.

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2 years ago

Line A is perpendicular to Line B.

Darya [45]

Answer:

-7/3

Step-by-step explanation:

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1 year ago

Alfonso is 8 years older than Ashley. Five years ago Alfonso was three times as old as Ashley. How old is Ashley now?

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Answer: 9 years

Step-by-step explanation:

Let the present age of Ashley be x.

Then the present age of Alfonso =x+8

Five years ago,

Ashley's age = x-5

Alfonso's age = x+8-5 = x+3

According to the question,

$x+3=3(x-5)\\\Rightarrow\ x+3=3x-15\\\Rightarrow\ 3x-x=3+15\\\Rightarrow\ 2x=18\\\Rightarrow\ x=\frac{18}{2}\\\Rightarrow\ x=9$

Hence, the present age of Ashley =9 years

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2 years ago

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