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
jeka57 [31]
3 years ago
7

In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s

cale.

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

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

Answers: 
x = 7 and y = 6

You might be interested in
Evaluate 7C6. (1 point)<br><br> A. 9<br> B. 1<br> C. 5,040<br> D. 7
notsponge [240]
\bf _nC_r=\cfrac{n!}{r!(n-r)!}\qquad &#10;\begin{cases}&#10;n=\textit{total elements}\\&#10;r=\textit{partials}\\&#10;--------\\&#10;n=7\\&#10;r=6&#10;\end{cases}\implies _7C_6=\cfrac{7!}{6!(7-6)!}
5 0
3 years ago
Read 2 more answers
Can anyone help me? <br><br> a^2 -2a+2a-4-a^2+2a+3a+6=3a+9
Alinara [238K]

Answer:

a=7/2

Step-by-step explanation:

a^2-2a+2a-4-a^2+2a+3a+6=3a+9

You want to solve for "a"

1. Mover all terms on the right side to the left side setting this equation to zero.

2. Combine Like Terms

3. Divide to isolate your "a"

6 0
3 years ago
Read 2 more answers
The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab
Drupady [299]

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3

More can be learned about the uniform distribution at brainly.com/question/13889040

7 0
2 years ago
The table shows the relationship "Mason rode 15 miles per hour on his bicycle."
Tems11 [23]

The statements which are correct are-

  • The number of miles increases as time increases.
  • The number of hours causes a change in the number of miles ridden.
  • The variable h is the independent variable.

Step-by-step explanation

The above table displays the relationship between the time taken in hours ("h") by Mayon to cover the distance (miles "m").

It means that the distance is dependent on time in hours. Hence, the variable "m" is a dependent variable since it depends on time "h" for which bicycle is being ridden.

Similarly, the variable "h" is an independent variable.

As seen from the table, the value of "m" continuously increases for the value of "h" and thus the number of hours causes a change in the distance ridden.

4 0
2 years ago
Read 2 more answers
What value of θ makes sinθ = cos60° a true statement?
Artist 52 [7]

Answer:

30 is the correct answer

Step-by-step explanation:

30  is the correct answer

If you need more hep just tell me.

Hope this helps.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 4x-4y/2=x+2 in slope intercept form?
    11·1 answer
  • Ms. Sheppard cuts 1/2 of a piece of construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet o
    8·1 answer
  • Algebra 2 help? Will give brainliest
    6·1 answer
  • A negative number divided by a positive number will yield a<br>number.​
    15·1 answer
  • If eight out of every thirteen trick-or-treaters that came to your house last Halloween were dressed as knights, what proportion
    15·1 answer
  • 7 of 8
    6·2 answers
  • Car 1 is going 75mph and is 7 miles ahead of car 2 which is going 85mph. How long until car 2 passes car 1?
    9·1 answer
  • PLEASEEEE HELPPPPPP!!!!
    15·1 answer
  • Plan out an experiment that you could use to demonstrate experimental and theroretical probability
    10·1 answer
  • Answer with work pls
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!