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dezoksy [38]
3 years ago
6

Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these tria

ngles, which statement about x is true? A) x = 160, because 180 − (130 + 30) = 20 and 180 − 20 = 160 B) x = 20, because 130 + 30 = 160 and 180 − 160 = 20 C) x = 80, because 180 − 130 = 50 and 50 + 30 = 80 D) x = 340, because 130 + 30 = 160 and 160 + 180 = 340

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

A

Step-by-step explanation:

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Okay to split a segment in half you just need to find the midpoint of the two endpoints.  Mathematically this is just the average of the coordinates of the endpoints which is:

mp=((x1+x2)/2, (y1+y2)/2)

Which in this case is:

mp=((-2+3)/2, (4+7)/2)

mp=(1/2, 11/2)

mp=(0.5, 5.5)

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8 0
3 years ago
Suppose that we don't have a formula for g ( x ) g(x) but we know that g ( 1 ) = − 1 g(1)=-1 and g ' ( x ) = √ x 2 + 15 g′(x)=x2
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Answer:

g(0.9) ≈ -2.6

g(1.1) ≈ 0.6

For 1.1 the estimation is a bit too high and for 0.9 it is too low.

Step-by-step explanation:

For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.

For 0.9, we estimate

g(0.9) ≈ 16* (-0.1) -1 = -2.6

g(1.1) ≈ 16* 0.1 -1 = 0.6  

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Here is the full question
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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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