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Liula [17]
2 years ago
8

Provide the missing reasons for the proof. Given: AB || RS Prove: QA/QR = QB/QS

Mathematics
1 answer:
Allisa [31]2 years ago
6 0

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

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Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b,
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Answer:

-9

Step-by-step explanation:

What b represents here is the y intercept.

The first thing we will do here is to find the slope.

Mathematically;

m = (y2-y1)/(x2-x1)

Plugging the values;

m = (12-3)/(7-4) = 9/3 = 3

The equation can thus be written as;

y = 3x + b

To get b, we can use any of the points since they lie on the line

Let’s use point M

Substitute the values of x and y in the equation

3 = 3(4) + b

3 = 12 + b

b = 3-12 = -9

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Answer:

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Step-by-step explanation:

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We are asked to sum the two trinomials (-4f^3-5f+16)+(4f^2-f+9). We can start by using the distributive property to remove the parenthesis, giving us -4f^3-5f+16+4f^2-f+9. Next, when we combine like terms, we get \boxed{-4f^3+4f^2-6f+25}. Hope this helped!
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