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Iteru [2.4K]
3 years ago
13

*WILL MARK BRAINLIEST* The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational deno

minator.

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0

Answer: 5sqrt2, 10sqrt2/2

Step-by-step explanation:

The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.

Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2

However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2

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On a​ test, 86​% of the questions are answered correctly. If 215 questions are​ correct, how many questions are on the​ test?
kupik [55]
The text tells us 215 is 86% of the questions
We are looking for 100% of the questions

We get that number by:
Multiplying 100 and 215 and dividing it by 86

\frac{100 \times 215}{86}

And that equals 250
7 0
3 years ago
What is the measure of m? 6 3 n 18 m = [?] Give your answer in simplest form. Enter​
alina1380 [7]

By solving a system of equations, we will see that m measures 12 units.

<h3>How to get the measure of m?</h3>

Notice that we have 3 right triangles.

Then we can write the equations:

cos(a) = 6/m

For the small triangle on the left, where m is the hypotenuse.

cos(a) = m/(6 + 18)

For the larger triangle (the one composed of the two triangles).

Where in both equations, angle "a" is the one in the top left.

Then we have the system of equations:

cos(a) = 6/m

cos(a) = m/(6 + 18)

Then we can write:

6/m = m/(6 + 18)

If we simplify the expression, we get:

6*(6 + 18) = m^2

6*(24) = m^2

144 = m^2

√144 = m = 12

Then we conclude that m measures 12 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

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8 0
2 years ago
Solve for the measure of angle G in degrees.....
7nadin3 [17]

Answer:

Angle G = 76 degrees

Step-by-step explanation:

66 + 2x + x = 180

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x = 38

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