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3 years ago

PLEASE HELP,, MARKING BRAINLIEST!!! Solve for the value of x.

Mathematics

1 answer:

iris [78.8K]3 years ago

3 0

Answer:

$\huge\boxed{\sf x = 37}$

Step-by-step explanation:

We know that,

The sum of interior angles of a triangle is 180 degrees.

So,

2x + 4 + 2x - 9 + x = 180

5x - 5 = 180

Add 5 to both sides

5x = 180 + 5

5x = 185

Divide both sides by 5

x = 185 / 5

x = 37

$\rule[225]{225}{2}$

Hope this helped!

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2 years ago

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3 years ago

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Determine the center and radius of the following circle equation: x2 + y2 – 10x + 8y + 40 = 0

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Step-by-step explanation:

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x^2 - 10x + y^2 + 8y = -40

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and the same for y^2 + 8y: y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius. Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

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