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Gre4nikov [31]
3 years ago
6

Determine whether quadrilateral ABCD with vertices A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1) is a trapezoid. Step 1: Find the sl

ope of AB. The slope of AB is . Step 2: Find the slope of DC. The slope of DC is . Step 3: Find the slope of BC. The slope of BC is . Step 4: Find the slope of AD. The slope AD is . The quadrilateral is a trapezoid because
Mathematics
2 answers:
GarryVolchara [31]3 years ago
6 0

Slope AB 0-(-5)/-3-(-4)= 0+5/-3+4= 5/1= 5 so Slope AB= 5

And the last fill-in is The quadrilateral is a Trapezoid because ..."Only one pair of opposite sides is parallel"

olganol [36]3 years ago
4 0

Answer: Yes, the quadrilateral ABCD is a trapezoid.

Step-by-step explanation: Given that the vertices of the quadrilateral ABCD are A(–4, –5), B(–3, 0), C(0, 2), and D(5, 1).

We are to determine whether ABCD is a trapezoid or not.

We know that a trapezoid is a quadrilateral with one pair of opposite sides parallel. Also, the slopes of two parallel lines are equal.

First, we will find the slopes of the sides AB, BC, CD and DA.

We have

\textup{Step 1: The slope of AB}=\dfrac{0+5}{-3+4}=\dfrac{5}{1}=5,\\\\\textup{Step 2: The slope of BC}=\dfrac{2-0}{0+3}=\dfrac{2}{3},\\\\\textup{Step 3: The slope of CD}=\dfrac{1-2}{5-0}=-\dfrac{1}{5},\\\\\textup{Step 4: The slope of DA}=\dfrac{-5-1}{-4-5}=\dfrac{2}{3}.

Since the slopes of the sides BC and DA are equal, so BC an DA are the parallel sides of the quadrilateral ABCD.

Thus, the quadrilateral is a trapezoid because it has a pair of opposite sides parallel.

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Oduvanchick [21]
They are both fractions, but 3/3 is 1 whole and 4/4 is 1 whole also.
so 1 whole times 1 whole equals 1
number form of my explanation:
3/3=1
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3 years ago
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Anit [1.1K]

Answer:

4

Step-by-step explanation:

The slope of the line is given. It is 4. Use the equation y=mx+b to answer the other questions.

Substitute 1 in for y, 4 in for m, and 2 in for x and solve for b. The equation would look like 1=4(2)+b.

Solving that equation will give you b=-7

That means the y-intercept is -7.

The equation would then be y=4x-7

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3 years ago
43.586 rounded to the nearest hundredth
garik1379 [7]
So you round to the second decimal place, giving you 43.59
3 0
3 years ago
Read 2 more answers
Please help with this question, thank you :)
vovikov84 [41]

Answer:

1/2

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Step-by-step explanation:

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