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3 years ago

Is AB parallel to CD?

Mathematics

1 answer:

Katen [24]3 years ago

6 0

You have to evaluate the slopes of these lines. For line AB you have a slope of
$\frac{1 - ( - 3)}{0 - ( - 3)} = \frac{4}{3}$
For line CD you have a slope of
$\frac{ - 1 - ( - 5)}{3 - 0} = \frac{4}{3}$
Because the slopes are equal and the two lines are not one and the same, they are parallel.

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4 years ago

The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square, and the side of the triangle is 4 inch

soldier1979 [14.2K]

Answer:

The length of the side of the triangle is 10 inches.

Step-by-step explanation:

Let p = perimeter of the equilateral triangle

Let P = perimeter of the square

Let s = length of side of the triangle

Let S = length of side of the square

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p = P + 6 Equation 1

"the side of the triangle is 4 inches longer than the side of the square"

s = S + 4 Equation 2

We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.

For an equilateral triangle,

p = 3s Equation 3

For a square,

P = 4S Equation 4

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Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.

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7 0

3 years ago

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Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

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3 years ago

Read 2 more answers