3 years ago

Which proportion can be used to show that the slope of JL is equal to the slope of MP

Mathematics

1 answer:

Ilya [14]3 years ago

5 0

Answer:

See below and attached

Step-by-step explanation:

As per the graph we have:

Coordinates of JL are J(-7, 4), L(-4, 0)

Coordinates of MP are M(-10, 8), P(-1, -4)

Slope formula is:

m = (y₂ - y₁)/(x₂ - x₁)

Slope of JL:

(0 - 4)/(-4-(-7)) = - 4 / 3

Slope of MP:

(-4 -8)/(-1- (-10)) = -12 / 9 = - 4/3

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In the figure below, mZ1=(x +48) and m2 2=2xº. Find the angle measures.

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Since m < 1 and m < 2 are complementary angles wherein the measure of their angles add up to 90°, we can establish the following equation:

m < 1 + m < 2 = 90°
x° + 48° + 2x° = 90°

Combine like terms:
48° + 3x° = 90°

Subtract 48° from both sides:

48° - 48° + 3x° = 90° - 48°

3x = 42°

Divide both sides by 3 to solve for x:

3x/3 = 42/3

x = 14°

Plug in the value of x into the equation to fins m< 1 and m < 2:

m < 1 + m < 2 = 90°
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Therefore:

m < 1 = 62°
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