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3 years ago

Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral.

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

4 0

Here is a reference to the Inscribed Quadrilateral Conjecture it says that opposite angles of an inscribed quadrilateral are supplemental.

Explanation:

The conjecture, #angleA and angleC# allows us to write the following equation:

#angleA + angleC=180^@#

Substitute the equivalent expressions in terms of x:

#x+2+ x-2 = 180^@#

#2x = 180^@#

#x = 90^@#

From this we can compute the measures of all of the angles.

#angleA=92^@#

#angleB=100^@#

#angleC=88^@#

<span>#angleD= 80^@#</span>

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Answer:

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Step-by-step explanation:

Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.

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Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

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3 years ago

The area of a rectangular field is 7050m^2. If the width of the field is 75m, what is its length?

sweet [91]

Answer:

Step-by-step explanation: Area =length × width

7050m^2 = X× 75m

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3 years ago

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3 years ago

A line with slope 3 passes through the point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2?

lana [24]

Hello!

So to find the y-coordinate we need an equation for the line. The equation we can use is

y = mx + b

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10 = 3(0) + b
10 = 0 + b
10 = b

So now that we've found b, we can use this in our equation

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