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iVinArrow [24]
3 years ago
11

What is the measure of XYZ

Mathematics
2 answers:
alukav5142 [94]3 years ago
8 0

Answer:

Option C is correct.

Step-by-step explanation:

Given: a measure of Angle = 186°

To find: measure of the ∠XYZ.

We know that given measure of the angle is the angle made by the arc at the center.

⇒ reflex of m∠XOZ = 186°

Figure is attached with required construction.

We use a result which states that the angle subtended by arc at the center is double the angle subtended by it at any point on the remaining part of the angle.

XZ is Major arc.

So we have,

⇒ reflex of ∠XOZ = 2 ∠XYZ

186 = 2∠XYZ

∠XYZ = 93°

Therefore, Option C is correct.

nata0808 [166]3 years ago
4 0

The answer is 93. The angle looks really close to 90 and 93 is the closest.

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DIstributive property to match equivalent expression 7(-4-x)
Ugo [173]

Answer:

-28-7x

Step-by-step explanation:

You mulitply 7 by -4 to get -28 and then mulitply 7 by -x to get -7x

3 0
3 years ago
Tom is the deli manager at a grocery store.He needs to schedule employees to staff the deli department at least 260 person-hours
Drupady [299]
I hope this is right but:
Let n=number of full time employees

260<=20+n*40
260-20<=N*40
240<=n*40
n>=240/40
n>=6 full time employees

which means he would have to hire at least 6 or more fully time employees

Though I'm not sure if the attached file is the graph you are looking for 

4 0
2 years ago
Is √4 rational or irrational?​
Lelu [443]
Rational because you get a whole number
7 0
3 years ago
Show the work please
Kay [80]

Answer:

1) (x + 3)(3x + 2)

2) x= +/-root6 - 1 by 5

Step-by-step explanation:

3x^2 + 11x + 6 = 0 (mid-term break)

using mid-term break

3x^2 + 9x + 2x + 6 = 0

factor out 3x from first pair and +2 from the second pair

3x(x + 3) + 2(x + 3)

factor out x+3

(x + 3)(3x + 2)

5x^2 + 2x = 1 (completing squares)

rearrange the equation

5x^2 + 2x - 1 = 0

divide both sides by 5 to cancel out the 5 of first term

5x^2/5 + 2x/5 - 1/5 = 0/5

x^2 + 2x/5 - 1/5 = 0

rearranging the equation to gain a+b=c form

x^2 + 2x/5 = 1/5

adding (1/5)^2 on both sides

x^2 + 2x/5 + (1/5)^2 = 1/5 + (1/5)^2

(x + 1/5)^2 = 1/5 + 1/25

(x + 1/5)^2 = 5 + 1 by 25

(x + 1/5)^2 = 6/25

taking square root on both sides

root(x + 1/5)^2 = +/- root(6/25)

x + 1/5 = +/- root6 /5

shifting 1/5 on the other side

x = +/- root6 /5 - 1/5

x = +/- root6 - 1 by 5

x = + root6 - 1 by 5 or x= - root6 - 1 by 5

4 0
3 years ago
Find surface area of rectangular prism
DIA [1.3K]

Answer:

806 yd sq.

Step-by-step explanation:

Area=(length)(width), so to find the surface area you can just find the area of each side and then add then all together.

They already gave you the length of some of the sides, so you should use that to help you find the length of all the sides.

You can see the entire prism's length is 17 yd, width is 4 yd, and height is 14 yd.

The large visible side's area would be (14)(17)= 283 yd. There's another one of these side's on the other side that we can't see. So we would do (283)(2) = 566 yd sq.

Next, we'll find the area of the side on the side by doing (14)(4)=56. Once again, there's two of these sides so we do (56)(2) to get 112 yd sq for this side.

Finally, we'll find the area of the top side. We can do (4)(17) =68, and then (68)(2) to get 138 yd sq.

Now, we have the area of each side of the prism! To find the total surface area, just add them all together. 556+112+138=806.

The surface area would be 806 yd sq.

5 0
2 years ago
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