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
diamong [38]
2 years ago
8

In parallelogram DEFG, DH = x + 1, HF = 3y, G H = 3 x − 4 , and HE = 5y + 1. Find the values of x and y. The diagram is not draw

n to scale.

Mathematics
1 answer:
Nana76 [90]2 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using the property of parallelograms

• The diagonals bisect each other, hence

DH = HF and GH = HE

x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5

Solving the 2 equations simultaneously

x + 1 = 3y → (1)

3x = 5y + 5 → (2)

rearrange (1) expressing x in terms of y

x = 3y - 1 → (3)

substitute x = 3y - 1 in (2)

3(3y - 1) = 5y + 5

9y - 3 = 5y + 5 ( subtract 5y from both sides )

4y - 3 = 5 ( add 3 to both sides )

4y = 8 ( divide both sides by 4 )

y = 2

substitute y = 2 into (3)

x = (3 × 2) - 1 = 6 - 1 = 5

Hence x = 5, y = 2



You might be interested in
Suppose 50 members of the sixth-grade class raise a total of +740
sineoko [7]

Answer:

im pertty sure $740

Step-by-step explanation:

3 0
2 years ago
Develop a probability model for the spinner shown.<br> Will give brainliest!
krok68 [10]

Answer:

Suppose we roll a six-sided number cube. Rolling a number cube is an example of an experiment, or an activity with an observable result. The numbers on the cube are possible results, or outcomes, of this experiment. The set of all possible outcomes of an experiment is called the sample space of the experiment. The sample space for this experiment is \displaystyle \left\{1,2,3,4,5,6\right\}{1,2,3,4,5,6}. An event is any subset of a sample space.

The likelihood of an event is known as probability. The probability of an event \displaystyle pp is a number that always satisfies \displaystyle 0\le p\le 10≤p≤1, where 0 indicates an impossible event and 1 indicates a certain event. A probability model is a mathematical description of an experiment listing all possible outcomes and their associated probabilities. For instance, if there is a 1% chance of winning a raffle and a 99% chance of losing the raffle, a probability model would look much like the table below.

Outcome Probability

Winning the raffle 1%

Losing the raffle 99%

The sum of the probabilities listed in a probability model must equal 1, or 100%.

4 0
3 years ago
The difference of 5 times the cube of x cubed and the quotient of 4 times x and 3
vlada-n [284]

the difference of 5 times the cube of x cubed and the quotient of 4 times x and 3


5*x^3 - (4x/3)

4 0
3 years ago
Read 2 more answers
1. Use the given key to answer the questions.
Eduardwww [97]

Answer:

please where is the diagram

8 0
2 years ago
Which set is in order from smallest to largest?
shutvik [7]
D. will be your answer. 
7 0
2 years ago
Other questions:
  • Two perpendicular lines intersect on the y-axis. the equation of one line is 4y - x - 24 =0. determined the equation of the othe
    15·1 answer
  • Can someone help please and thank you.
    12·1 answer
  • Which of the following is not a function?<br> A. y-x=6<br> B. y=2x²<br> C. x= -2<br> D. y+x=12
    12·2 answers
  • Roxanne decides she's going to make cookies. Her recipe requires her to use 1 1/4 cup of sugar for each batch. Roxanne's Mom che
    11·1 answer
  • Olivia is buying packages of balloon for $3 each in the website charges and $8 shipping fee her budget is $26 .what's the format
    13·1 answer
  • Use the partial information given in this electronic W-2 form to calculate the amount in Box 3.
    10·2 answers
  • Are greater than 0 and located to the right of 0 on a number
    7·2 answers
  • Re-write the equation below into Slope-Intercept Form x + 7 y = 14
    7·1 answer
  • The graphs show the amounts in two different bank accounts over several months.
    11·1 answer
  • Please answer correctly.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!