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
fenix001 [56]
1 year ago
5

A quadrilateral has vertices E(–4, 2), F(4, 7), G(8, 1), and H(0, –4). Which statements are true? Check all that apply.

Mathematics
1 answer:
lys-0071 [83]1 year ago
8 0

Answer:

D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.

B) The slopes of EF and GH are both 5/8

Step-by-step explanation:

The following inference can be made about each answer choices:

For option A

A) The slope of EH is 3/2 and not -8/5

For EH, slope = (2--4)/(0--4) = 6/4 =3/2

For option B

B) The slopes of EF and GH are both 5/8

slope of a graph can be determined by change in y axis/ change in x axis

For EF, slope = (7-2)/(4--4) = 5/8

for GH, slope =  (1--4)/(8-0) = 5/8

For option C

C) FG is perpendicular to GH, its can't be determined since it is concluded that the quadrilateral is a parallelogram, therefore this option is wrong.

For option D

D) Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.

Slope of a graph can be determined by rise divided by run change in y axis/ change in x axis

For EF, slope = (7-2)/(4--4) = 5/8

for GH, slope =  (1--4)/(8-0) = 5/8

For EH, slope = (2--4)/(0--4) = 6/4 =3/2

for FG, slope =  (7-1)/(8-4) = 6/4 =3/2

EF and GH give the same slope, likewise EH and FG and they are opposite to each other, this make them parallel. Therefore, EFGH is a parallelogram.

Refer Below link for further details:

brainly.com/question/18006680

#SPJ10

You might be interested in
Help this is due in 10 minutes please help
Assoli18 [71]

Answer: acute angle, straight line

Step-by-step explanation:

6 0
2 years ago
How do you get the volume of a triangular prism?
lisov135 [29]
The equation for that is V = 1/2 A x C x H
7 0
2 years ago
Read 2 more answers
Shanti is making a patchwork quilt. Each piece of fabric has a black star on it. She uses the grid shown to plan the locations o
ser-zykov [4K]

Answer:

1. Slide over the Y-Axis

2. Reflection over the Y-Axis

3. Reflection over the y axis first as well as a rotation

5 0
2 years ago
The total cost of attending a state university is $19,700 for the first year. • A student's grandparents will pay half of this c
Temka [501]

Answer:

The student will have to save $404.2 minimum monthly

Step-by-step explanation:

Given that the total cost for the first year= $19,700

The grandparents paid half the amount = 1/2(19700)= $9850

The remaining balance to be paid is

19,700 - 9850=$9850

If an athlete paid $5000

The the remaining balance to be paid = 9850-5000=$4850

For the student to clear this amount in 12 months he must save

monthly 4850/12= $404.166

Hence the minimum amount to be saved per month is $404.2

4 0
3 years ago
Read 2 more answers
How do you put the equation 2x+y=2 into slope intercept form
Dahasolnce [82]

Answer:

Step-by-step explanation:

you put the equation in slope and intercept form by making y the subject of the formula

i.e

y = -2x + 2

-2 is the slope and 2 is the intercept

5 0
2 years ago
Read 2 more answers
Other questions:
  • In the time a person on a bicycle travels 4 miles a person in a car travels 30 miles assuming a constant speed how far will the
    14·1 answer
  • Samantha is baking a cake. She needs 3/4 cup of butter for each cake. One stick of butter is 1/2 cup. How many sticks of butter
    13·2 answers
  • Frank makes four bows to decorate a gift basket. Each bow uses7/8 yards of ribbon. The ribbon comes in spool of 3 yards, 5 yards
    12·1 answer
  • Help!!!! please alegabra 1​
    10·1 answer
  • The height, in inches, of each of three boys is 54.0, 48.5, and 46.0, respectively. The height of the fourth boy is denoted by h
    10·1 answer
  • -6x^2-5x-5=<br> −6x <br> 2<br> −5x−5=<br> \,\,-4x^2<br> −4x <br> 2
    13·1 answer
  • Jason bought 7 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are n
    7·2 answers
  • Help! <br><br> What is the length of a rectangle with width 10 in and area 45 in square
    13·1 answer
  • Find x in the right triangle
    5·2 answers
  • What is the surface area of a sphere with a radius of 15 cm?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!