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
disa [49]
2 years ago
11

Find x and y so that the quadrilateral is a parallelogram.

Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

Answer:

Result:

  • The value of x = 12
  • The value of y = 21

Step-by-step explanation:

Given

The parallelogram DEFG

DE = 6x-12

FG = 2x+36

EF = 4y

DG = 6y-42

We know that the opposite sides of a parallelogram are equal.  

As DE and FG are opposite sides, so

DE = FG

substituting DE = 6x-12 and FG = 2x+36 in the equation

6x-12 = 2x+36

6x-2x = 36+12

simplifying

4x = 48

dividing both sides by 4

4x/4 = 48/4

x = 12

Therefore,

The value of x = 12

Also, EF and DG are opposite sides, so

EF = DG

substituting EF = 4y and DG = 6y-42 in the equation

4y = 6y-42

switching sides

6y-42 = 4y

6y-4y = 42

2y = 42

dividing both sides by 2

2y/2 = 42/2

y = 21

Therefore,

The value of y = 21

Result:

  • The value of x = 12
  • The value of y = 21
You might be interested in
What is the mean absolute deviation for the set of data below?<br><br> 2, 8, 10, 16
Evgesh-ka [11]

Solution: We are given below data:

2, 8, 10, 16

Now to find the mean deviation, we use the below formula:

MD= \frac{\sum|X-\bar{X}|}{N}

Where:

\sum,  represents the summation

X, represents the observation.

\bar{X}, represents the mean

N represents the number of observation.

\bar{X}= \frac{\sum{X}}{N}= \frac{2+8+10+16}{4}=9

\sum |X-\bar{X}| = |2-9| + |8-9| +|10-9| +|16-9|=7+1+1+7=16

Therefore, the mean deviation is:

MD= \frac{16}{4}

        = 4

5 0
3 years ago
Read 2 more answers
A plane made a trip to Miami and back. It flew 400mph on the way there and flew 450mph on the return trip. How long did the trip
quester [9]

Answer:

equation: 400 + ( 450×10)= h

h= 4900.

4 0
3 years ago
Can someone help me here pls thanks!​
vesna_86 [32]

Using proportions, it is found that the measure of the inscribed angle B is of 30º.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In a circle, the inscribed angle is half the measure of the outside angle. Hence, in this problem, the measure of angle B is of 50% of 60º, hence:

m<B = 0.5 x 60º = 30º.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
HELP ME PLEASE !!!!!!! WILL GIVE 50 pts
Zielflug [23.3K]
Vertex formula = -b/2a
-18/1 = 18.
However, this is just the x value, the vertex is (x,y)
-18*2 + 18(18) - 72 = 576
A) (18,576)
576 dollars made with 18 members is the highest amount made in one day.

B) (12,0) (6,0)
4 0
3 years ago
Read 2 more answers
How can you use addition and subtraction to put together and separate measures of an angle and its parts?
Oksanka [162]
We can use addition and subtraction <span>to put together and separate measures of an angle and its parts by looking for the complementary or the supplementary angles. 

For example, What is the other angle in a complementary angle in which one of the angles is 45 degrees. This is how should be answered. Ccomplementary angles are two angles that forms a total of 90 degrees.
90 = A + B
90 = 45 + B
B = 90 - 45
B = 45

</span>
7 0
3 years ago
Other questions:
  • The hover dam contains 3 1/2 millon cubic yards of concrete.The grand coulee dam contains 2 1/2 times as much. How much concrete
    7·1 answer
  • there are 150 more passenger cars than trucks on the highway. for every 10 passenger cars there are 7 trucks. how many trucks ar
    9·2 answers
  • Algebra expression ; Nine more than the product of 51 and the number T
    8·1 answer
  • The human resources manager at a company records the length, in hours, of one shift at work, X. He creates the probability distr
    13·2 answers
  • Identify horizontal or vertical compression stretch of the function g(x) = 6x
    10·1 answer
  • PLEASE HELP ASAPPPPPPPP!!! Test has been due for awhile now. Needs to get done
    14·1 answer
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
    9·1 answer
  • Can someone please help me
    9·2 answers
  • I can understand the meaning (passive)<br>​
    11·2 answers
  • The mean per capita consumption of milk per year is 144 liters with a variance of 484. If a sample of 183 people is randomly sel
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!