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dybincka [34]
3 years ago
8

Find the length of the hypotenuse

Mathematics
1 answer:
denpristay [2]3 years ago
4 0

Answer: The answer is “10cm”

Step-by-step explanation: To get to this answer we first need to know the formula for find the hypotenuse which is a^2 + b^2 = c^2. A and B are the two sides in this case a and b are 8 cm and 6 cm. Then you plug in the values into the equation, it looks like this 8^2 + 6^ = c^2 once you solve you get 64 + 36 = c. When you add 64 and 36 you get 100 but their is one more step. You must find the square root of 100 which is 10. So your answer for the hypotenuse is “10cm”

Have a nice day!

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The middle angle in a triangle is 4 times the measure of the smallest angle. The smallest angle is the difference of the largest
a_sh-v [17]

Answer:

  • smallest: 18°
  • largest: 90°
  • middle: 72°

Step-by-step explanation:

We can solve this using the relationship between the angles together with the angle sum theorem. Let s represent the measure of the smallest angle. Then the middle angle is 4s, and the largest angle is (4s +s). The angle sum theorem tells us the sum of angles in a triangle is 180°.

  smallest + middle + largest = 180°

  s +(4s) +(4s +s) = 180°

  10s = 180° . . . . . . . . . . . simplify

  s = 18° . . . . . . . . . divide by 10

  4s = 72° . . . . . . find the middle angle

  4s +s = 72° +18° = 90° . . . . . find the largest angle

The smallest, largest, and middle angles are 18°, 90°, and 72°, respectively.

7 0
3 years ago
Match the fractions with Equivalent percentages
Mrrafil [7]

In order to match each of the pairs you need to divide the numerator by the denominator to make it into a decimal.

Below are the pairs:

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13/20 = 65%

2/5 = 40%

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7 0
3 years ago
What is the value of x? 3x−8=8x+4/2 Enter your answer in the box
krek1111 [17]

For this case we must find the value of "x" of the following expression:

3x-8 = \frac {8x + 4} {2}

Multiplying by 2 on both sides of the equation:

2 (3x-8) = 8x + 4\\6x-16 = 8x + 4

Subtracting 8x from both sides of the equation:

6x-8x-16 = 4\\-2x-16 = 4

Adding 16 to both sides:

-2x = 4 + 16\\-2x = 20

Dividing between -2 on both sides:

x = \frac {20} {- 2}\\x = -10

Answer:

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6 0
3 years ago
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tresset_1 [31]
Your absolute value cannot be negative.
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Which ratio is equivalent to 3:9? 24:54 18:54 36:81
docker41 [41]

Answer:

18:54

Step-by-step explanation:

We have to simplify these ratios.

If the most simplified form of the ratios are equal, they are equivalent

3:9

r = \frac{3}{9} = \frac{1}{3}

24:54

r = \frac{24}{54} = \frac{12}{27} = \frac{4}{9}

18:54

r = \frac{18}{54} = \frac{9}{27} = \frac{3}{9} = \frac{1}{3}

Same ratio as 3:9, so 18:54 is equivalent to 3:9

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r = \frac{36}{81} = \frac{12}{27} = \frac{4}{9}

3 0
4 years ago
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