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
andriy [413]
3 years ago
15

Is quadrilateral UVWX a parallelogram? Why or why not?

Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Slope of UV = 0 = Slope of XW

So UV is parallel to XW.

Slope of UX = [6-(-4)]/[-7-(-3)] = -5/2

Slope of VW = [6-(-4)]/(0-4) = -5/2

Slope of UX = Slope of VW i.e. UX is parallel to VW.

It is a parallelogram because opposite sides are parallel.

You might be interested in
Given: △ACM, m∠C=90°, CP ⊥ AM
larisa86 [58]

Answer:  The answer is 3\dfrac{4}{7}.

Step-by-step explanation:  Given in the question that ΔAM is a right-angled triangle, where ∠C = 90°, CP ⊥ AM, AC : CM = 3 : 4 and MP - AP = 1. We are to find AM.

Let, AC = 3x and CM = 4x.

In the right-angled triangle ACM, we have

AM^2=AC^2+CM^2=(3x)^2+(4x)^2=9x^2+16x^2=25x^2\\\\\Rightarrow AM=5x.

Now,

AM=AP+PM=AP+(AP+1)\\\\\Rightarrow 2AP=AM-1\\\\\Rightarrow 2AP=5x-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(A)

Now, since CP ⊥ AM, so ΔACP and ΔMCP are both right-angled triangles.

So,

CP^2=AC^2-AP^2=CM^2-MP^2\\\\\Rightarrow (3x)^2-AP^2=(4x)^2-(AP+1)^2\\\\\Rightarrow 9x^2-AP^2=16x^2-AP^2-2AP-1\\\\\Rightarrow 2AP=7x^2-1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(B)

Comparing equations (A) and (B), we have

5x-1=7x^2-1\\\\\Rightarrow 5x=7x^2\\\\\Rightarrow x=\dfrac{5}{7},~\textup{since }x\neq 0.

Thus,

AM=5\times\dfrac{5}{7}=\dfrac{25}{7}=3\dfrac{4}{7}.

8 0
3 years ago
I need help with this perimeter
spin [16.1K]
The length of that semi circle is 6pi. So the perimeter should be 6pi + 24
5 0
3 years ago
Read 2 more answers
Hello i really need help on this its just 3 short question pls dont answer if you dont know it
Veseljchak [2.6K]

Answer:

1.  m = 60

2. k = 55

3. v  =  182

8 0
2 years ago
Read 2 more answers
7.
Phoenix [80]

Answer:

hi sister

Step-by-step explanation:

Im also a girl teehee

3 0
3 years ago
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find
natta225 [31]

The tension in the cable is given by the newton's first law will be 163.622 N.

<h3>What is newton's first law?</h3>

The summation of the force is equal to zero.

The formula is given as

ΣF = 0

Where m is the mass of the body and a is the acceleration.

A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.

Then the tension in the cable will be

Let T be the tension in the cable.

T sin 29° + T sin 53° – 210 = 0

On simplifying, we have

T (sin 29° + sin 53°) = 210

                             T = 163.622 N

More about the newton's first law link is given below.

brainly.com/question/974124

#SPJ1

6 0
2 years ago
Other questions:
  • What is the equivalent exponential form of the fourth root of x?
    5·1 answer
  • Please please help me out
    10·1 answer
  • What does the 2 represent in 12.789
    6·2 answers
  • Suppose that you buy a bond with face value $4000 that was originally issued 18 months ago. The maturity date is 4 years from th
    15·1 answer
  • 2. The rectangular prisms shown below are
    7·1 answer
  • Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay
    12·1 answer
  • Math please help give u brainlist
    11·2 answers
  • Find the area of the shape below.
    13·1 answer
  • What is the total area of this polygon? O 77 sq cm O 86 sq cm 96 sq cm O 108 sq cm​
    9·1 answer
  • Can someone help with this?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!