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Neko [114]
3 years ago
5

I need assistant with these parallelogram problems​

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Problem 6a

  1. Angle DCB is supplementary to angle ADC and angle ABC. Reason: Adjacent angles in a parallelogram are always supplementary.
  2. AE = EC. Reason: The diagonals of any parallelogram always bisect each other. In other words, the diagonals cut each other in half.
  3. DC = AB. Reason: Opposite sides of a parallelogram are congruent.
  4. angle DCB = angle DAB. Reason: Opposite angles of a parallelogram are congruent.
  5. CD = AB. Reason: segment DC is the same as segment CD. The order of the endpoints does not matter when it comes to listing a segment. Opposite sides of a parallelogram are congruent.

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

Problem 6b

<h3>Answers:</h3><h3>angle L = 129</h3><h3>angle S = 51</h3><h3>angle C = 129</h3>

----------

Work Shown:

angle U = 51 (given)

angle S = angle U (Opposite angles of a parallelogram are congruent)

L+U = 180 (adjacent angles in parallelogram are supplementary)

L = 180-U

angle L = 180-51

angle L = 129

angle C = angle L (Opposite angles of a parallelogram are congruent)

angle C = 129

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

Problem 6c

<h3>Answers:</h3><h3>x = 33/4 = 8.25</h3><h3>y = 50</h3>

------------------

Work Shown:

TI across the top is 4x+9

NA across the bottom is 42

TI = NA since opposite sides of a parallelogram are congruent

4x+9 = 42

4x = 42-9

4x = 33

x = 33/4

x = 8.25

------

angle TAN = 3y

angle TIN = 150

angle TAN = angle TIN (opposite angles of parallelogram are congruent)

3y = 150

y = 150/3

y = 50

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mel-nik [20]
Score = 6x+y

so 6x+y = xy
⇒ 6x = xy-y
⇒ 6x = y(x-1)
⇒ y = 6x/(x-1)

for x=0, y=0
x=1 , not possible
x=2, y = 12
x = 3, y = 9
x = 4, y = 8
x = 5, y = 7.5 (not possible)
x = 6 , y = 7.1 (not possible)
x = 7, y = 7
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Only five scores are possible.


6 0
4 years ago
The dimensions of a standard tennis court are 36 ft. × 78 ft. with a net that is 3 ft. high in the center. The court is modified
Tema [17]

Answer:

Modified court is not similar to the standard court

Step-by-step explanation:

Given that :

Dimension of standard tennis court:

36ft by 78ft

Net height = 3 ft

Dimension of Modified Court :

27ft by 60ft

Net height = 3ft

To examine similarity :

We obtain the dilation factor for width and length :

(Standard court length / modified court length)

= 36 ft / 27 ft

= 4 / 3

Width :

Standard court width / modified court width)

= 78 ft / 60 ft

= 13 / 10

Since the dilation factor for the width and length are different, then we can conclude that the standard and modified court are not similar

7 0
3 years ago
What is the length of EF?
Diano4ka-milaya [45]

The length of EF is 3.8

<h3>How to solve for EF?</h3>

To do this, we make use of the following law of sines

EF/sin(D)= DE/sin(F)

So, we have:

EF/sin(75)= 3/sin(50)

This gives

EF = sin(75) * 3/sin(50)

Evaluate the product

EF = 3.8

Hence, the length of EF is 3.8

Read more about law of sines at:

brainly.com/question/4372174

#SPJ1

6 0
2 years ago
POSSIBLE POINTS 50
m_a_m_a [10]

Answer:

2500

Step-by-step explanation:

8 0
3 years ago
At a concert the ratio of male to female was 3:9.If there was 180 more females than male,how many males and females were at the
Deffense [45]

Answer:

90 male and 270 female

Step-by-step explanation:

As the ratio is 3:9, 9-3=6. 180 females cover 6 parts, and there are total 12 parts. This means there are 360 people in the concert, and there are 30 people per part. As male covers 3 parts, 30x3=90 male, and female covers 9 parts, and 30x9=270 female. Hope it helps!

7 0
3 years ago
Read 2 more answers
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