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
Vary hard 11th grade test paper
8_murik_8 [283]
Omg thx for the points ;)
4 0
3 years ago
Find the length of side x in simplest radical form with a rational denominator.
Sauron [17]

Answer:

\frac{11\sqrt{2}}{2}} or 5.5√2

Step-by-step explanation:

We can see that this is a 45-45-90 triangle

refer to the image below to see what that means

we can see that (in the image) 11=x√2

which means that x= 11/√2

to rationalize this fraction we mulitply both sides by √2 to get

\frac{11\sqrt{2}}{2}} or 5.5√2

3 0
3 years ago
Read 2 more answers
Find the x-intercepts of the parabola with
12345 [234]

Answer:

x-intercepts are (0, 0) and (-6, 0)

Step-by-step explanation:

equation of a parabola in vertex form:  y = a(x - h)² + k

where (h, k) is the vertex

Substituting the given vertex (-3, -18) into the equation:

y = a(x + 3)² - 18

If the y-intercept is (0, 0) then substitute x=0 and y=0 into the equation and solve for a:

0 = a(0 + 3)² - 18

⇒ 0 = a(3)² - 18

⇒ 0 = 9a - 18

⇒ 9a = 18

⇒ a = 2

Therefore, y = 2(x + 3)² - 18

To find the x-intercepts, set the equation to 0 and solve for x:

                                 2(x + 3)² - 18 = 0

Add 18 to both sides:     2(x + 3)² = 18

Divide both sides by 2:    (x + 3)² = 9

Square root both sides:      x + 3 = ±3

Subtract 3 from both sides:  x = ±3 - 3

so x = 3 - 3 = 0  

and  x = -3 - 3 = -6

So x-intercepts are (0, 0) and (-6, 0)

8 0
2 years ago
Read 2 more answers
Find the measure of the missing angles.
ser-zykov [4K]

Answer:

F=100

E=80

D=90

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Omar bakes 72 cupcakes for his birthday party. He gives all the cupcakes away,
Vikki [24]

Answer: 8

Step-by-step explanation: just did a quiz

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the lcm of 8,12,3
    6·1 answer
  • Use De Moivre’s Theorem to compute the following: <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%288cos%284%20%5Cpi%20%2F5%
    11·1 answer
  • Find the value of n<br><br> 6/n = 5/120
    14·2 answers
  • How do I find x and y?
    7·2 answers
  • I need help with this question please
    11·1 answer
  • Sarah has sold $33 worth of tickets to the comedy show. She has 4 tickets left to sell for $11 per ticket?
    13·1 answer
  • You get a job making $12 per hour. You do a great job and your boss says he is going to give you a 25% raise!!! What is your new
    9·1 answer
  • You are standing at the top of the mountain 1,500 feet above sea level and your brother is a scuba diving in the ocean 10 feet b
    6·2 answers
  • A college with a graduating class of 4000 students in the year 2010 predicts that its graduating class will grow 5% per year.
    7·1 answer
  • Drag the expression that is the most reasonable measurement for each object.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!