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
Nikolay [14]
3 years ago
15

Parallelogram ABCD has diagonal segments AC and BD that intersect at E. if BE is ( x + 8) and ED is (5 x), find the length of BD

.
Mathematics
1 answer:
Virty [35]3 years ago
7 0

Answer:

BD = 20 units

Step-by-step explanation:

Given that,

Parallelogram ABCD has diagonal segments AC and BD that intersect at E.

BE = (x+8) and ED = 5x

We need to find the length of BD.

BD = BE + ED ...(1)

We know that the diagonals of a parallelogram bisects each other. It means,

BE = ED

x+8 = 5x

8 = 5x - x

8 = 4x

x = 2

BE = (x+8)

= (2+8)

= 10

ED = 5x

= 5(2)

= 10

Put the values in equation (1).

BD = 10 + 10

= 20 units

Hence, the length of BD is 20 units.

You might be interested in
A bedroom of a house is 12 feet wide by 14 feet long. The scale of the floor plan of the house is 0.5 inch = 3 ft. What is the w
erica [24]
Your width, in real life being 12, would 2 inches on the plan
8 0
3 years ago
Read 2 more answers
In ΔABC, BC = 13, CA = 20 and AB = 19. Which statement about the angles of ΔABC must be true?
I am Lyosha [343]

Answer:

m∠B > m∠C > m∠A

Step-by-step explanation:

The angle opposite the largest side in a triangle is the largest, and the angle opposite the shortest side is the smallest.

4 0
2 years ago
Find the value of the missing angle​
ruslelena [56]

Answer:

35°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for missing angle

missing angle = 180° - (90 + 55)° = 180° - 145° = 35°

5 0
3 years ago
Read 2 more answers
tess has 100 dimes and quarters , if the total of the coins is $21.40 how many of each of the coins does she have ?? Using subst
Zanzabum

Answer: 24 and 76

Step-by-step explanation:

{

d

+

q

=

100

10

d

+

25

q

=

2140

From the first equation, we have  

d

=

100

−

q

Substituting that into the second equation, we have

10

(

100

−

q

)

+

25

q

=

2140

⇒

1000

−

10

q

+

25

q

=

2140

⇒

15

q

=

1140

⇒

q

=

1140

15

=

76

Knowing that  

q

=

76

we can substitute that value into the first equation to obtain

d

+

76

=

100

∴

d

=

24

Thus, Sue has  

24

dimes and  

76

quarters.

4 0
3 years ago
3 6.7<br> x 7<br> What is the answer
hichkok12 [17]
The answer to this would be 256.9.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using algerbreaic representations or visual models
    9·1 answer
  • If K = {(x, y)|x - y = 5}, find the corresponding range of y for the domain {0, 2, 4}
    15·1 answer
  • Please help 3/5 + 5/10
    15·2 answers
  • Graph the function.<br> Y=[1/2x-1]
    12·1 answer
  • Simplify by combining like terms -15+6x-19-20x
    14·2 answers
  • Plz help me I am <br> Stuck
    6·1 answer
  • Please help 10 points asap​
    9·1 answer
  • Hellllllllllllllllllllllllllp
    15·2 answers
  • The ratio of chaperones to students on a field trip to New York City is 2 to 11. If there are 297 students on the trip, how many
    13·1 answer
  • a teacher takes 15minutes to mark one question paper. how many hours will he take to mark 40 question papers?​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!