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
Dominik [7]
2 years ago
6

Help could you explain step by step?

Mathematics
2 answers:
natima [27]2 years ago
7 0

TR=PT as diagonals bisect each other in parallelogram

  • y=5x+1--(1)

Similarly

QT=TS

  • 2y=6x+10-(2)

Equate both equations in (2)

  • 2(5x+1)=6x+10
  • 10x+2=6x+10
  • 4x=8
  • x=2

Now

  • y=5(2)+1
  • y=11
mel-nik [20]2 years ago
6 0

Answer:

x = 2 , y = 11

Step-by-step explanation:

the diagonals of a parallelogram bisect each other , then

PT = TR , that is

y = 5x + 1 → (1)

QT = TS , that is

2y = 6x + 10 → (2)

substitute y = 5x + 1 into (2)

2(5x + 1) = 6x + 10

10x + 2 = 6x + 10 ( subtract 6x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

substitute x = 2 into either of the 2 equations for corresponding value of y

substituting into (1)

y = 5(2) + 1 = 10 + 1 = 11

You might be interested in
What is the solution to this equation?
Zolol [24]

Answer:

D

Step-by-step explanation:

7 0
3 years ago
Drag the slider to see the number of water lilies in the pond each day. Collect the data and fill in the text boxes below.
Umnica [9.8K]

Answer:

0 days:  4

1 day:    4

2 days:  5

3 days:  6

4 days:  6

5 days:  7

10 days:  10

15 days:  15

20 days:  33

25 days:   51

30 days:  79

Step-by-step explanation:

4 0
2 years ago
What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
krok68 [10]

Answer:

slope(m)=4 and

y-intercept(c)=-5/2

Step-by-step explanation:

here,8x-2y=5

reducing it into slop intercept form we get,

2y=8x-5

or,y=8/2x+(-5/2)

or,y=4x+(-5/2)

comparing it with y=mx+c we get,

slope(m)=4 and

y-intercept (c)=-5/2

5 0
3 years ago
Solve 4√2 + 5√4 and explain if the answer is rational or irrational
USPshnik [31]

Answer: Not Rational

Step-by-step explanation: because a rational number is a fraction, integer or a repeating decimal

5 0
3 years ago
Pleas help if possible :)
Ronch [10]

Answer: i don’t know but good luck, you got this!Have a nice day!

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A youth chorus has 30 members. There are 14 boys in the chorus.
    6·2 answers
  • The cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the
    7·1 answer
  • Which is a good comparison of the estimated sum and the actual sum of 7 7\8 + 2 11\12
    15·2 answers
  • Can someone show me step by step?
    10·1 answer
  • Inverse of 6(x+2)^2 -6
    9·1 answer
  • Use the distrubitve property to rewrite each expression. -6(r-8)
    12·1 answer
  • Lucy bottled 47,000 milliliters of punch. If she sells 1-liter bottles for $1.79, how much will she make if she sells all of her
    13·1 answer
  • Please help me find the solution ​
    14·1 answer
  • Write an equation for each line in slope intercept form​
    10·1 answer
  • PLEASE HELP a great white shark loses an average of 2.7 teeth each year what is the change in the number of teeth a great white
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!