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
VikaD [51]
3 years ago
6

Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

Conclusion:

  • The value of x = 7
  • The value of y = 4

Step-by-step explanation:

Given

  • The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

  • RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

  • The value of x = 7
  • The value of y = 4
You might be interested in
A mallard duck has 13 ducklings, five of the ducklings are male, what is the ratio of male to female ducklings ?
hodyreva [135]

Answer:

5:8 Ducklings

7 0
3 years ago
Read 2 more answers
What is the area of a rectangle that has the base of 5 centimeters and a height of 2 centimeters?
Alex_Xolod [135]

Answer:

10 square centimeters.

Step-by-step explanation:

The area of a rectangle=base*height. 5*2=10 square centimeters.

5 0
3 years ago
Read 2 more answers
Students who attend Washington Middle School are either in seventh or eighth grade. At the end of the first semester 25% of the
Irina18 [472]

Answer:

There are <u>1240</u> students who attended Washington Middle School.

Step-by-step explanation:

Given:

Students who attend Washington Middle School are either in seventh or eighth grade.

At the end of the first semester 25% of the students at Washington Middle School were on the honor roll.

Seventh graders represented 60% of the students on the honor roll.

If 124 students on the honor roll were in eighth grade.

Now, to find the students attend Washington Middle School.

Let the total number of students be x.

So, the students at Washington Middle School were on the honor roll:

<u><em>25% of </em></u>x<u><em /></u>

=\frac{25}{100} \times x

=\frac{25x}{100}

=\frac{x}{4}

As, given seventh graders represented 60% of the students.

So, the students on the honor roll represented as seventh graders:

60\%\ of\ \frac{x}{4}

=\frac{60}{100} \times \frac{x}{4}

=0.6\times \frac{x}{4}

=\frac{0.6x}{4}

As, 124 students on the honor roll were in eighth graders.

Thus,

According to question:

\frac{x}{4} -\frac{0.6x}{4} =124

\frac{x-0.6x}{4} =124

\frac{0.4x}{4} =124

<em>Multiplying both sides by 4 we get:</em>

0.4x=496

<em>Dividing both sides by 0.4 we get:</em>

x=1240.

Therefore, there are 1240 students who attended Washington Middle School.

6 0
4 years ago
If x &gt;0 and y &lt; 0. is the equation x - y &gt;0 sometimes, always, or never true
VashaNatasha [74]
Always
Hope this helps :)
7 0
3 years ago
Read 2 more answers
Please help i am panicking
vaieri [72.5K]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Help answer 1/5x-2/3y=30 when y = 15
    6·2 answers
  • What is the slope of a line perpendicular to the line whose equation is 3x+6y=-183x+6y=−18. Fully reduce your answer.
    12·1 answer
  • What is the Surface area of the rectangular prism?
    14·1 answer
  • HELP ME ASAP<br> What is the area of this figure?
    13·1 answer
  • You invested $680 at 2.7% compounded monthly. How much money do you have after
    14·1 answer
  • Answers ASAP simplify the ratio answer both questions
    7·1 answer
  • Five less than the quotient of a number and 2 is 12. What is the number
    12·2 answers
  • Write y = -x + 5 in standard form using integers.
    7·1 answer
  • Which of the following equations will yield the volume of a triangular prism?
    8·1 answer
  • Hi me agaain i need some help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!