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
Rom4ik [11]
3 years ago
12

Determine if KLMN must be a parallelogram. Justify your answer.

Mathematics
2 answers:
Ludmilka [50]3 years ago
7 0

Answer:

(D)

Step-by-step explanation:

For there too be a parallelogram, you must have two pairs of opposite side parallel lines. This means that KN & LN must be parallel, and KL & NM have to be parallel.

~

vovikov84 [41]3 years ago
4 0

Answer:

Choice C

One pair of opposite sides are parallel (KN and LM). That same pair of opposite sides are also congruent. Therefore, the figure is a parallelogram.

==============================================

The tick marks tell us that the sides are congruent. So KN = LM. In short, they are the same length.

They are also parallel because of the similar arrow markers that are in the middle of the segment. If the arrows were at the endpoint of the segment, then you would have a ray. But being in the middle of the segment means "this line is parallel to any other line with the same arrow marker in the same basic position".

With this set of info, we can draw in line KM and show that angle NKM = angle LMK (alternate interior angles). Then by SAS, we can show that triangle NKM = triangle LMK. Finally, using CPCTC, we can show that KL = NM and that angle KMN = angle MKL

The fact that angles KMN and MKL are alternate interior angles would help us prove that KL and MN are parallel.

So in short, we have enough info to prove the figure is a parallelogram. Even though at first glance, it may seem that this figure is not a parallelogram (since only one pair of opposite sides are parallel).

You might be interested in
A paintball court charges an initial entrance fee plus a fixed price per ball. The variable ppp models the total price (in dolla
DaniilM [7]

Answer:

$5.50

Step-by-step explanation:

The function we are given is

p = 0.80n + 5.50,

where n is the number of balls.

Multiplying this variable by 0.80 means $0.80 will be the cost per ball.  The additional amount added to the variable in the function, 5.50, will be the entrance fee.

7 0
3 years ago
Read 3 more answers
Review the following information about vectors q and r.
seropon [69]

Answer:

–1 maybe

Step-by-step explanation:

maybe maybe maybe

3 0
2 years ago
Read 2 more answers
Choose the correct graph to fit the inequality<br><br> y&lt;16x ^2
Luda [366]

Answer:

The solution in the attached figure

Step-by-step explanation:

we have

y

we know that

The solution of the inequality is the shaded area below the dashed line of the parabola

The equation of the dashed line is the vertical parabola y=16x^{2}

therefore

The solution in the attached figure

8 0
3 years ago
You need to construct fence around an area of 3136 ft2. What are the dimensions of the rectangular pen that minimize the amount
borishaifa [10]

Answer:

Step-by-step explanation:

The the area of the rectangular pen be A = LW

L is the length

W is the width

Given

A = 3136ft²

3136 = LW..........1

Given the perimeter P = 2L+2W....... 2

From 1; L = 3136/W

Substitute into 2

P = 2(3136/W)+2W

P = 6272/W + 2W

In order to minimize the amount of material needed, then dP/dW = 0

dP/dW = -6272/W² + 2

0 = -6272/W² + 2

6272/W² = 2

cross multiply

6272 = 2W²

W² = 3136

W = √3136

W = 56ft

Since A = LW

3136 = 56L

L = 3136/56

L = 56ft

Hence the dimensions of the rectangular pen that minimize the amount of material needed is 56ft by 56ft

7 0
2 years ago
1 - x = 8 what do you do if there is no number by the x ?​
ivolga24 [154]

x with no number beside it simply means 1x

8 0
2 years ago
Read 2 more answers
Other questions:
  • T-2b+c=16n solve for c
    11·1 answer
  • Write a multiplication equation for ''How many 3/4 are in 7/2?
    15·2 answers
  • Please help me with this question
    9·2 answers
  • Karissa determines the area of her desk by multiplying 45.72 centimeters and 60.95 centimeters. She states that the area is 2786
    12·1 answer
  • Please help me!<br> [One Step Inequalities]
    11·1 answer
  • 81
    15·1 answer
  • PLEASE HELP WITH EXPLANATION!! THANK YOU ILL GIVE BRAINLEST
    8·1 answer
  • 2. A recipe says that 6 spring rolls will serve 3 people. Complete the table as you answer the questions. Be prepared to explain
    5·1 answer
  • I will mark brainliest IF CORRECT
    12·1 answer
  • Determine the product. 800.5 x (2x10^6)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!