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krek1111 [17]
3 years ago
8

Solve each triangle for x.

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

56 deg

Step-by-step explanation:

All internal angles of a triangle add up to 180 degrees

hence,

∠O + ∠R + ∠F = 180

x + (x+43) + (x-31) = 180

x + x+43 + x -31 = 180

3x+ 12 = 180

3x = 180 - 12 = 168

x = 168/3 = 56 deg

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Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56. How much does each person owe?
Pavlova-9 [17]

Answer:

each person owe $10.26

Step-by-step explanation:

Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56.

Total bill for 6 friends = $61.56

To find bill cost for 1 person we divide the total cost by 6

Bill for each person = \frac{61.56}{6}= $10.26

So each person owe $10.26

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4 years ago
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Tina equally shares 8 cookies among herself and her 4 friends. which fraction shows how many cookies each person gets
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Step-by-step explanation:

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6 0
3 years ago
Determine whether each ordered pair is a solution to the inequality x+y<−1.
polet [3.4K]

Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers
for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

3 0
2 years ago
4 decimals whose sum is 2.35<br><br><br>​
Sedbober [7]

Answer:

One way you can solve this problem would be to take 2.35/4

2.35/4= .5875

Then you can add .5875 + .5875 +.5875 +.5875

Which equals 2.24

.5875 + .5875 +.5875 +.5875

Hope this helps ;)

6 0
3 years ago
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