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spin [16.1K]
3 years ago
10

Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A ? Enter your answer in the box. ° A quadrilateral insc

ribed in a circle. The vertices of quadrilateral lie on the edge of the circle and are labeled as A, B, C, D. The interior angle C is labeled as 121 degrees.
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
5 0
Answer: The measure of angle A is 59 degrees.

When you have a quadrilateral inscribed in a circle the opposite sides are always supplementary (add to 180). Given the order of the vertices of our quadrilateral, we know that A and C are opposite.

Therefore, we can write and solve the following equation.
A + C = 180
A + 121 = 180
A = 59 degrees
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Answer:

x = 1/3

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-4(3x − 2) = 6x + 2

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-12x +8 = 6x +2

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Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
RUDIKE [14]

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

8 0
2 years ago
Please help! Select all that apply. Write the letter of your answer. V = Iwh
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Answer:

C.

D.

E.

Step-by-step explanation:

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Using this equation we can answer the question by using the values given.

V = (2y+4)(2y-4)(3y) = (4y^2-16)(3y) = 12y^3-48y

From the list of answers, we can compare each one to the answer we got and see if they match up.

The answers that match up are:

C. 12y^3-48y - it is exactly like the answer we got.

D. 3y(4y^2-16) = 12y^3-48y - if we simplify the brackets, it is exactly like the answer we got.

E. (2y+4)(6y^2-12y)=12y^3-24y^2+24y^2-48y=12y^3-48y - once again, if we simplify the brackets it is like the answer we got.

None of the other answers are correct as they do not match up with the answer we got.

8 0
3 years ago
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