1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepladder [879]
3 years ago
12

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:
Pani-rosa [81]3 years ago
7 0

Answer:

The Slope of AB: 5/1

The Slope of DC: -1/5

The Slope of BC: 2/3

The Slope of AD: 2/3

The quadrilateral is a trapezoid because BC and AD are parallel to each other while AB and DC are congruent.

Step-by-step explanation:


Stels [109]3 years ago
3 0

Answer:   Yes, the quadrilateral ABCD is a TRAPEZOID.

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

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

<u><em>TRAPEZOID:</em></u><em>  It is a quadrilateral having one pair of opposite sides parallel.</em>

We will find the slopes of all the sides AB, BC, CD and DA of quadrilateral ABCD as follows:

\textup{slope of AB}=\dfrac{0-(-5)}{-3-(-4)}=\dfrac{5}{1}=5,\\\\\\\textup{slope of BC}=\dfrac{2-0}{0-(-3)}=\dfrac{2}{3},\\\\\\\textup{slope of CD}=\dfrac{1-2}{5-0}=\dfrac{-1}{5}=-\dfrac{1}{5},\\\\\\\textup{slope of DA}=\dfrac{-5-1}{-4-(-5)}=\dfrac{-6}{-9}=\dfrac{2}{3}.

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

Hence, the quadrilateral ABCD has one pair of opposite sides parallel.

Thus, quadrilateral ABCD is a TRAPEZOID.

You might be interested in
Answer to this math question please
shtirl [24]

Answer:

24

Step-by-step explanation:

8 times 3 TwT

6 0
2 years ago
Solve the equation.<br> x² =96<br><br> A 4/6<br><br> B 16/6<br><br> C 9<br><br> D 9,-9
alexgriva [62]

Answer:

x = ± 4\sqrt{6}

Step-by-step explanation:

Given

x² = 96 ( take the square root of both sides )

x = ± \sqrt{96} = ±  \sqrt{16(6)} = \sqrt{16} × \sqrt{6} = ± 4\sqrt{6}

3 0
3 years ago
Please help<br> c=x+b solve for x
fredd [130]

Answer:

x = c - b

Step-by-step explanation:

c = x + b

Subtract b on both sides,

c - b = x + b - b

c - b = x

x = c - b

Hence, solved.

5 0
2 years ago
Find the arc length, x, when
Arte-miy333 [17]

The arc length of the circle is 5π/9 units

<h3>How to determine the arc length?</h3>

From the question, we have the following parameters

Angle, ∅ = 5π/9

Radius, r = 1 unit

The arc length (x) is calculated as

x = r∅

Substitute the known values in the above equation

x = 5π/9 * 1

Evaluate the product

x = 5π/9

Hence, the arc length of the circle is 5π/9 units

Read more about arc lengths at:

brainly.com/question/2005046

#SPJ1

5 0
2 years ago
Describe how to transform the graph of g(x) = logx into the graph of f(x) = 2 log(4 – x)
Lostsunrise [7]

Answer:

C

Step-by-step explanation:

Just took the test

8 0
3 years ago
Other questions:
  • Two consecutive numbers whose squares add up to 685
    13·1 answer
  • BRAINLIEST if right!
    5·1 answer
  • Given: KLMN is a parallelogram m∠K : m∠KLM=1:3 LF ⊥ KN , LD ⊥ NM Find: m∠FLD
    11·2 answers
  • What is the answer to this question
    13·1 answer
  • I know its nothing to do with education, but what type of thing should I wrote here?? :) its for McDonald's btw.
    5·2 answers
  • Write Help Marshmello i wasn't born yesterday.
    5·2 answers
  • Fill in the missing numbers to complete the pattern:<br> 5.7, 6.2, 6.7,_____, ______, 8.2
    6·1 answer
  • Simplify  ( √ 5 ) ( 3 √ 5 )
    14·1 answer
  • $2,500 at 6% for 3 years​
    13·1 answer
  • Use the following information to find your final course average in grading system 2test grades ( 75, 82, 88, 70)final exam grade
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!