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kodGreya [7K]
2 years ago
3

Savannah completed a proof showing that non-adjacent angles A and B are congruent. What is the value of y? (Enter answer as a wh

ole number)* ​

Mathematics
1 answer:
Rama09 [41]2 years ago
7 0

180 = 140 + x + 12

x = 28

2x - y = x + 12

2(28) - y = 28 + 12

56 - y = 40

y = 16

Hope this helps! :)

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Which expression represents a factorization of 32m+56mp
Lana71 [14]
8m(4+7p). (The greatest common factor is 8.).
3 0
2 years ago
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You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over
Pachacha [2.7K]
If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.

And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)

So, if  f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].

Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).

Answer: [ f o g] (x)
4 0
2 years ago
A pound of oranges costs $2 less than a pound of pears. Together, ten pounds of oranges and eight pounds of pears cost $61. How
Thepotemich [5.8K]

Let us say that:

o = cost of oranges per pound

p = cost of pears per pound

 

so that:

o = p – 2

 

Therefore:

10o + 8p = 61

10 (p – 2) + 8p = 61

10p – 20 + 8p = 61

18p = 81

p = 4.5

p = $4.5 per pound

 

So 3 pounds of pears would cost:

total cost = 3 * 4.5

total cost = $13.5

3 0
2 years ago
The equation of a circle is (x + 12)2 + (y + 16)2 = (r1)2, and the circle passes through the origin. The equation of the circle
Furkat [3]
For an equation to pass through the origin, (0,0) must be a solution of the equation. So, for the first one, 

(x + 12)^{2} + (y + 16)^{2} = r_{1}^{2}

(0, 0) must satisfy the equation and we can solve for the value of r₁ as shown below.

(0 + 12)^{2} + (0 + 16)^{2} = r_{1}^{2}
12^{2} + 16^{2} = r_{1}^{2}
r_{1} = \sqrt{12^{2} + 16^{2}}
r_{1} = 20

Since the second equation of the circle also passes through the origin, we use the same steps from the first one.

(0 - 30)^{2} + (0 - 16)^{2} = r_{2}^{2}
r_{2} = \sqrt{30^{2} + 16^{2}}
r_{2} = 34

Thus, we have the values for r₁ and r₂ as 20 and 34, respectively.

Answer: r₁ = 20 and r₂ = 34
7 0
2 years ago
Identify the parameter n in the following binomial distribution scenario. A basketball player has a 0.479 probability of
lozanna [386]

Answer:

n = 17

Step-by-step explanation:

Assuming

- probability of success (making free throw) does not vary

We have

n = 17 (trials)

p = 0.479

x > 9

7 0
2 years ago
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