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
podryga [215]
3 years ago
8

Kite EFGH is inscribed in a rectangle where F and H are midpoints of parallel sides. The area of EFGH is 35 square units. What i

s the value of x? 4 units 5 units 6 units 7 units

Mathematics
1 answer:
sasho [114]3 years ago
4 0

*see attachment for the figure described

Answer:

5 units

Step-by-step explanation:

==>Given the figure attached below, let where FH and EG intercepted be K.

Since FH are midpoints of parallel lines, KE = KG = x.

Given that the area of the kite EFGH = 35 square units, and we know the length of one of the diagonals = HF = KF + KH = 2 + 5 = 7, we can solve for x using the formula for the area of a kite.

Area of kite = ½ × d1 × d2

Where d1 = KH = 7

d2 = EG = KE + KG = x + x = 2x

Area of kite EFGH = 35

THUS:

35 = ½ × 7 × 2x

35 = 1 × 7 × x

35 = 7x

Divide both sides by 7

35/7 = x

x = 5

You might be interested in
A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies. The city's animal shelt
inysia [295]

Answer: The number of dogs in all of the city's animal shelters is puppies = 270

Step-by-step explanation:

Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.

The city's animal shelters collectively house 1,485 dogs each year.

The number of dogs in all of the city's animal shelters is puppies = 1485\times\dfrac{10}{55}=270

Hence, The number of dogs in all of the city's animal shelters is puppies = 270

7 0
3 years ago
8.4.49 A cow is tethered to one corner of a square​ barn, 19 feet by 19 ​feet, with a rope 160 feet long.​ (See the illustration
SashulF [63]

Answer:

20096 ft^2

Step-by-step explanation:

We are given that

Length of rope=l=160 feet

Radius of quadrant of circle=r=160 feet

We have to find the  maximum grazing area of the cow.

We know that

Area of quadrant of circle=\frac{1}{4}\pi r^2

Where \pi=3.14

Using the formula

Area grazed by cow=\frac{1}{4}\times 3.14(160)^2

Area grazed by cow=20096 ft^2

4 0
4 years ago
Find each angle measure
Aloiza [94]

It would surely be helpful if you let us know which angles to measure!

4 0
3 years ago
HELP PLEASE !!!!!!!!!!!!!!!
nadya68 [22]

Answer:

x=30

Step-by-step explanation:

if 30 x 4 = 120 amd 2 = 30 = 60 then 60+120=180

6 0
3 years ago
Plz Help me for this question
kicyunya [14]

Answer:

what do u want me to do

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Harlon recorded this set of data, which contains an outlier. 163, 97, 184, 199, 169, 175 What is the range of this set of data?
    12·2 answers
  • Graph the relation. is the relation a function? why or why not? {(0,1), (3,5), (2,2), (-1,4)}
    8·1 answer
  • How much more rain fell in May than in April <br><br> May is 4 1/4 &amp; April is 2 5/8
    6·1 answer
  • What is 5 divided by 5679
    8·2 answers
  • steve has 75.50$ to spend at the movies. His ticket is 45.50? and he gets a large popcorn and soda. If the popcorn and soda each
    15·1 answer
  • True or False: Discrete function have seperate point.<br> O True<br> O False
    11·1 answer
  • Help with this question please please please
    14·1 answer
  • Find the median of the following set of numbers. 98, 67, 98, 102, 74, 95, 99
    14·2 answers
  • In this diagram, lines AC and DE are parallel and line DC is perpendicular to each of them. What is a reasonable estimate for th
    10·1 answer
  • 17. Alex spent $125 to have a party. He
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!