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3 years ago

Really need help with math question.

Mathematics

1 answer:

JulsSmile [24]3 years ago

6 0

The opposite angles of a cyclic quadrilateral add up to 180 degrees , so

2x + 3 + 4x + 3 = 180
6x = 180 - 6

6x = 174
x = 29

so m<C = 2(29) + 1 = 59 degrees

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Answer:

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Step-by-step explanation:

∠ 3 and 50° are corresponding angles and congruent, thus

∠ 3 = 50°

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2 years ago

Find the approximate side length of a square game board with an area of 105 in2.

aleksley [76]

Answer:

Rounded to the nearest inch: 10

Rounded to the nearest tenth: 10.2

Rounded to the nearest hundredth: 10.25

Step-by-step explanation:

To find the area of a square, we multiply the side length by itself, or in other words, SQUARE the side length!

$A=s^2$

We are given the area, so plugging that into our equation looks like this:

$105=s^2$

To eliminate the exponent, take the square root of both sides of the equation!

$\sqrt{105}=s$

From here, there are a few paths to take, depending on what your teacher is looking for. I will evaluate the approximate of the square root by finding the nearest perfect squares.

The nearest perfect square less than √105 is √100, and the nearest perfect square greater than √105 is √121.

105 is closer to 100 than to 121, so √105 is closer to √100.

√100 is equal to 10, so the √105 is approximately 10 inches!

Using a calculator to check:

$\sqrt{105}=10.247$ inches