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FrozenT [24]
4 years ago
14

In the figure, angle ZYX is measured in degrees. The area

Mathematics
2 answers:
skad [1K]4 years ago
7 0

Answer:

the answer is A on e2020

Step-by-step explanation:

VARVARA [1.3K]4 years ago
3 0

Answer:

The central angle measure of the sector divided  by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector

Step-by-step explanation:

we know that

The formula to calculate the area of sector is equal to

A_s=\frac{x}{y}A_c

where

A_s ----> is the area of sector    

x ----> is the central angle measure of the sector in degrees

y  ---> total angle measure of a circle in degrees

A_c ---> represent the area of the circle

see the attached figure to better understand the problem

we have

x=m\angle ZYX=\theta^o ----> central angle of sector ZYX

y=360^o ----> total angle measure of a circle in degrees

A_c=\pi r^{2} ---> represent the area of the circle

substitute in the formula

A_s=\frac{\theta^o}{360^o} (\pi r^{2})

therefore

The central angle measure of the sector divided  by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector

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Wittaler [7]

Answer:

A


Step-by-step explanation:


To find this quotient, we divide each term inside the parenthesis by 2a. Then we simplify. So we have:

\frac{4a^4}{2a}+\frac{6a^3}{2a}-\frac{10a^2}{2a}\\=2a^{4-1}+3a^{3-1}-5a^{2-1}\\=2a^3+3a^2-5a


Answer choice A is correct.

6 0
4 years ago
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How do you factorise 3x²-x​
never [62]

Answer:

x(3x-1)

Step-by-step explanation:

take the similar ones out

4 0
3 years ago
Which polynomial lists the powers in descending order?
lesantik [10]

Answer:

D i believe

Step-by-step explanation: hoped this helps

8 0
2 years ago
Which of the following represents, the difference of a number squared and four is less than or equal to five.
LekaFEV [45]

Answer:

x² - (4 ≤ 5)

Step-by-step explanation:

(I have x representing the number that is squared, it might be a different letter on your options, but regardless it will be the same general answer. You also may not need the parentheses around the 4 ≤ 5)

Difference means subtraction so we know that the second number/group of numbers will be subtracted from the first that is listed.

Next, if you are squaring any number it's going to have the little 2 to the right of it. That's what that means.

Then, we look at that last bit. <em>"Four is less than or equal to five."</em> This means exactly how it sounds. To write this we need the symbol ≤. This symbol means less than or equal to. You would would but the 4 in front and the 5 in back to get 4 ≤ 5.

Now we just put it together. It tells us that 4 ≤ 5 is being subtracted from a number squared. So this means that a number squared needs to be first, and because difference means subtraction, we would subtract 4 ≤ 5 from that. A number squared can be represented by any letter variable, but for this example, I will use x.

This leaves you with x² - (4 ≤ 5)

I hope this helped :)

8 0
3 years ago
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Two parallel lines are intersected by a transversal. Prove: Angle bisectors of the same side interior angles are perpendicular.
coldgirl [10]

Answer:

The answer is given below

Step-by-step explanation:

From the diagram below,Let the line AB and CD be parallel line. Let transversal line EF cut AB at Y and transversal line EF cut CD at Z.

The bisector of ∠BYZ and ∠DZY meet at O. Therefore ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠BYZ and ∠DZY are interior angles.

∠BYZ + ∠DZY = 180 (sum of consecutive interior angles)

∠BYZ/2 + ∠DZY/2 = 180/2

∠BYZ/2 + ∠DZY/2 = 90°

In ΔOYZ:

∠YZO + ∠ZYO + ∠YOZ = 180 (sum of angles on a straight line).

But  ∠YZO = ∠DZY/2 and ∠ZYO = ∠BYZ/2

∠DZY/2 + ∠BYZ/2 + ∠YOZ = 180

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∠YOZ = 90°

Therefore Angle bisectors of the same side interior angles are perpendicular.

7 0
3 years ago
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