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Andreyy89
2 years ago
11

Which of the following situations result in an answer of 2/3? Select three that apply.

Mathematics
1 answer:
Tema [17]2 years ago
6 0
B: is the best answer because there splitting 2 apples among 3 people and that means there’s not enough for all, so they all receive 2/3 of an apple to all get shared with equally. Hopefully this helps!
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This is a polygon and I need help finding the missing angle ?
allsm [11]
First, you need to know that the total (degrees) of the interior angles is 360 because this is a quadrilateral.

The unnumbered angle is 109 degrees. We know this because the angle labeled 71 degrees and the unnumbered angle are supplementary. So you subtract 180 from 71 to get 109. 
180-71=109

To solve for x, we need to realize the other numbers playing into the angles' values. To make solving this easier, I'm gonna assign letters to the angles. 

(10x+6) is angle A. 

(13x-2) is angle B. 

(8x-1) is angle C.

and 109 (the one we solved) is angle D. 

We know that the total of the interior angles is 360, so we can add the 2 from angle B and the 1 from angle C to 360. This is because these numbers are subtracted from the other values. 
360+2+1=363

Now, we have to subtract the 6 from angle A from 363, because the 6 is added to the other values. 
363-6=357

Now we have to subtract 109 from 357 because you want to get the x's by themselves. Since you're solving for x. 
357-109=248

That leaves you with 248. Now you add all the x's up to get the total number of x's. You have 10x from angle A, 13x from angle B, and 8x from angle C. 
10x+13x+8x=31x

You get 31x. To get what x is, you divide 248 by 31. 
\frac{248}{31} =8

That equals 8. So now that you know that x equals 8, if you need to find the values of the angles, you just plug in the numbers into the formulas. 

(10(8))+6= 86
(13(8))-2=102
(8(8))-1=63
109

Check your work by plugging your answers in and seeing if they add up to 360. 
86+102+63+109=360

Which they should:)

So...
angle A= 86
angle B=102
angle C=63
angle D=109

and x=8



Hope this helped!!!
4 0
3 years ago
Suppose a triangle has sides a, b, and c, and let theta be opposite the side of length a. If cos theta < 0, what must be true
katrin2010 [14]
If \cos \theta\ \textless \ 0, then angle \theta is obtuse and triangle with sides a, b, c is obtuse triangle.
In an arbitrary triangle can be only one obtuse angle, and the side which lies opposite to the largest angle is the largest. Then since <span>angle \theta is opposite the side of length a</span>  you can conclude that a>c and a>b.



6 0
3 years ago
Is it essary to rename 4 1/4 if you subtract 3/4 from it.
Archy [21]
No . because you would then have 2/4 which is 1/2 50%

3 0
3 years ago
Factor X-7X -5x + 35 by grouping. What is the resulting expression?
Yuliya22 [10]
The answer is c). (x-5)(x-7)
7 0
3 years ago
Problem page the sum of two numbers is 56 . one number is 3 times as large as the other. what are the numbers?
LenaWriter [7]
<span>x + y = 56
x = 4y
---
4y + y = 56
5y = 56
y = 10.4
x = 41.6</span>
7 0
3 years ago
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