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
Aloiza [94]
3 years ago
14

The lengths of the diagonals of rectangle ABCD intersect at E. If AE =x+4 and CE= 3x-12. What is the length of BD?

Mathematics
2 answers:
swat323 years ago
5 0

Answer:

DB = 24

Step-by-step explanation:

First, note that the diagonals of a rectangle are equal and bisect each other. In other words, DB = CA and CE = EA and DE = BE.

Also, AE + CE = CA

So, using this, we can write this equation:

AE = CE

x + 4 = 3x -12

Subtract 4 from both sides.

x = 3x -16

Subtract 3x from both sides.

-2x = -16

Divide both sides by -2

x = 8

Then, substitute this into AE + CE = CA

x + 4 + 3x - 12 =

8 + 4 + 24 - 12 = 24

Then, because CA = DB,

DB = 24

I hope this helps! Feel free to ask any questions! :)

fiasKO [112]3 years ago
4 0

Step-by-step explanation:

we know that the diagonals of the rectangle are equal and bisects each other at the point of intersection.

so,

=》AE = CE

=》x + 4 = 3x - 12

=》4 + 12 = 3x - x

=》16 = 2x

=》x = 16 ÷ 2

=》x = 8

so, AE = x + 4 = 8 + 4 = 12

CE = AE = 12

now,

AC = AE + CE

=》AC = 12 + 12

=》AC = 24

and we know that diagonals of rectangle are equal so, AC = BD

hence, BD = 24

You might be interested in
Which answer choice is the best first st 2y – 6 = -1 ? pls help asap​
natima [27]

Answer:

y=2.5

Step-by-step explanation:

2y-6=-1

add 6 to negative 1 so that the 2y is all by itself

2y=5

divide 5 by 2

y=2.5

4 0
3 years ago
Read 2 more answers
Ve the equation. 3c + 1 = c +1​
yKpoI14uk [10]
Subtract C in both sides:
2c + 1 = 1

Subtract 1 on both sides
2c = 0

The solution is:
x = 0

Hope this helped
4 0
3 years ago
NEED HELP ASAP!!!! PLEASEEE
nikdorinn [45]

The first answer of the missing blank is 4/5.

The second answer of the missing blank is 2.

The third answer of the missing blank is 25.

*For all of these solutions, I will be using the common rules for logarithms.*

Solution for the first question:

Log9^4/5 must equal log9^4-log9^5, or it could also equal the more proper version, which is simplified: 2log9^2-log9^5.

Solution for the second question:

Log3^22 must equal log3^11+log3^2, if you break it down.

Solution for the third question:

Log9^25 must equal 2log9^5 because it will be like this when simplifying it:

log9^25=2log9^5

log9^5²=2log9^5

2log9^5=2log9^5

These are all of the step-by-step procedures for all three of these given questions. Anyways, I hope that this helped you!

5 0
2 years ago
After Megan walked 5 miles her activity tracker had counted 9780 steps David activity calendar had counted 11,928 steps after he
Alex

Answer:

David 1,988-1,956+32

It is David because when you find the unite ratio you get 1,988 for David and 1,956 for Megan.

4 0
2 years ago
The seat of a bench is the shape of a Trapezoid with bases of 8 feet and 7 feet and a height on 3.5 feet whats the are of the se
Pepsi [2]

Answer:

26.25 square feet

Step-by-step explanation:

Calculation to determine the area of the seat

Using this formula

Area=1/2*(b1+b2)*h

Where,

b1=8 feet

b2=7 feet

h=3.5 feet

Let plug in the formula

Area=1/2*(8+7)*3.5

Area=1/2*15*3.5

Area=26.25

Therefore the area of the seat is 26.25 square feet

6 0
2 years ago
Other questions:
  • How to solve this problem step by step. Make brainliest answer if its done. Please
    10·1 answer
  • Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm)
    13·1 answer
  • when Louisa rented a moving truck, she agreed to pay $28 per day plus $0.42 per mile. if she kept the truck for 3 days and the r
    8·2 answers
  • Segment EF is the midsegment of trapezoid ABCD. Find the length of segment EF if segment AB is 20 and segment CD is 12.
    14·2 answers
  • What type of parent function does the equation f (x) = 1/x
    13·1 answer
  • The number of kilometers Tony travels in a canoe, d, varies directly with the amount of time spent in the canoe, t. When Tony ca
    11·1 answer
  • An ice cream shop serves about 50 customers in one day .about how many customers does the ice cream shop serve in 40 days
    12·2 answers
  • Can some one do this for me
    7·2 answers
  • Help please
    15·1 answer
  • Can somebody please help me with questions 9 and 10, please
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!