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kumpel [21]
3 years ago
15

9. Which lines are parallel if m<4 = m<5? Justify your answer.

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

lines r and s

Step-by-step explanation:

we know that

<u><em>Alternate interior angles</em></u> are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.

When the lines are parallel, the alternate interior angles are equal

so

In this problem

If lines r and s are parallel

then

m∠4=m∠5 ----> by alternate interior angles

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ANSWER: ab√3ac

Is this enough for you ?

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3 years ago
Widget Wonders produces widgets. They
navik [9.2K]
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
7 0
3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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By the exterior angle theorm

134° = 98° + y

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