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Whitepunk [10]
2 years ago
13

A right triangle has one angle that measures 6 degrees. What is the measure of the other acute angle?

Mathematics
1 answer:
mylen [45]2 years ago
3 0

84

Step-by-step explanation:

All three angles add up to 180 degrees.

Since it is a right triangle, there is a 90 degrees angle. And we know another angle is 6 degree. So we use the formula: 180 - (known angle + known angle) = unknown angle

Plugging in the information we get: 180 - (90 + 6) = x

180 - 96 = 84

So x = 84

We can check our work by adding all known angles to see if it is equal to 180 using the formula known angle + known angle + known angle = 180 degrees

Plugging in the information we get: 90 + 6 + 84 = 180

96 + 84 = 180

180 = 180

So the answer 84 is correct

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One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times sm
sergey [27]

One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle. Then the lines are parallel

<h3><u>Solution:</u></h3>

Given that, One of the same-side exterior angles formed by two lines and a transversal is equal to 1/6 of the right angle and is 11 times smaller than the other angle.  

We have to prove that the lines are parallel.

If they are parallel, sum of the described angles should be equal to 180 as they are same side exterior angles.

Now, the 1st angle will be 1/6 of right angle is given as:

\begin{array}{l}{\rightarrow 1^{\text {st }} \text { angle }=\frac{1}{6} \times 90} \\\\ {\rightarrow 1^{\text {st }} \text { angle }=15 \text { degrees }}\end{array}

And now, 15 degrees is 11 times smaller than the other  

Then other angle = 11 times of 15 degrees

\text {Other angle }=11 \times 15=165 \text { degrees }

Now, sum of angles = 15 + 165 = 180 degrees.

As we expected their sum is 180 degrees. So the lines are parallel.

Hence, the given lines are parallel

5 0
3 years ago
Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.
Harman [31]

Answer: 2x^2+2x-4-\frac{4}{x+1}

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1  ║ 2 | 4 | -2 | -8

   ║    | -2| -2 |  4

   ║ 2 | 2|  -4 |  -4

2x^2+2x-4-\frac{4}{x+1}

PS: if anyone knows a better way to do a synthetic division chart please let me know.

5 0
2 years ago
Find the value of the trigonometric ratio: tan X.
serious [3.7K]

Answer:

The value of the trigonometric-ratio:

  • Tan X = 24 / 7

Step-by-step explanation:

Given the angle X

It is clear that:

  • The opposite of the angle X = 48
  • The adjacent to the angle X = 14

We know that the trigonometric-ratio of Tan X is defined as

Tan X = Opposite / Adjacent

substituting Opposite = 48, and Adjacent = 14

Tan X = 48/14

Tan X = 24 / 7

Therefore, the value of the trigonometric-ratio:

  • Tan X = 24 / 7
4 0
3 years ago
Jenny and Chris share some prize money in the ratio 2:4. The prize money totaled $3000. How much did Chris win?
mafiozo [28]
Solution for What is 2.4 percent of 3000:

2.4 percent *3000 =

(2.4:100)*3000 =

(2.4*3000):100 =

7200:100 = 72
Maybe i dont know tbh
6 0
3 years ago
The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used
prohojiy [21]

Answer:

Step-by-step explanation:

If the longest side is 6.2 cm, and it is twice the length of the shortest, then we can write an equation as 2x=6.2, where x is the short side length.

Then, since a triangle has 3 sides, the medium side length is 14.5-6.2-x.

Hope that helped,

-sirswagger21

4 0
3 years ago
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