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uranmaximum [27]
3 years ago
5

The measure of one angle of a right triangle is 18 degrees more than the measure of the smallest angle. Find the measures of all

three angles.

Mathematics
2 answers:
Mumz [18]3 years ago
5 0

Answer:

Angles are 36,54 and 90 degrees

Step-by-step explanation:

Since it is a right triangle, one angle is obviously 90° and the sum of the other two will also be 90° (since a triangle's angles are 180°). One is X and the other is 18+X, sum both equations and equal them to 90°, and when you get X substitute in the equations

ella [17]3 years ago
4 0

Answer:

90°, 54° and 36°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Let x be the smallest angle then the other angle is x + 18, hence

x + x + 18 + 90 = 180, that is

2x + 108 = 180 ( subtract 108 from both sides )

2x = 72 ( divide both sides by 2 )

x = 36

thus x + 18 = 36 + 18 = 54

The 3 angles are 90°, 54° and 36°

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Find the distance around one-fifth of a circle with diameter of 14 inches
Step2247 [10]

To solve this problem, you will need to know the formula to find the circumference of a circle given the diameter of a circle. After calculating the circumference, you will then divide this result by 5 to obtain the final answer needed for this problem.

<h3>Find the Circumference</h3>

The circumference of a circle is found using the formula C = 2πr.

C = 2\pi r

We are given the diameter. The radius can be found using r = D/2.

\displaystyle r=\frac{D}{2}

\displaystyle r=\frac{14}{2}

r=7

Plug in the radius to the formula for a circle's circumference: C = 2πr.

C = 2 \pi (7)

Rearrange the equation to distribute the 7 into the 2π.

C = 7(2\pi)

Distribute the 7.

C=14\pi

<h3>Find One-Fifth of the Distance</h3>

To find one-fifth of the distance (formally termed the circumference) around the circle, divide the circumference by 5.

\displaystyle \frac{14\pi}{5}

If you are looking for a simplified answer in terms of π, this will suffice. If you need an exact answer that does not reference π, continue reading.

For a solution not in terms of π, first, multiply 14 by π.

14\times\pi = 43.98229715

Divide this value by 5.

\displaystyle \frac{43.98229715}{5} = 8.7964594

To make this easier to present, round to the hundredths place.

8.7964594 \approx 8.80

The final answer, dependent on the value you are asked to provide, is:

{\boxed{\displaystyle \frac{14\pi}{5} \ \text{inches}}

\boxed{\text{approximately} \ 8.8 \ \text{inches}}

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Step-by-step explanation:

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The percentage of 4c in the expression 0.2c is 2000%

<h3>How to determine the percentage of 4c?</h3>

The expression is given as:

0.2c

The percentage of 4c is then calculated as:

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Express as percentage

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Hence, the percentage of 4c in 0.2c is 2000%

Read more about percentages at:

brainly.com/question/843074

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Hunter-Best [27]

Answer:

y=x-1

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