Work must be shown for this problem! The figure shown below is a rectangle. Make sure to solve for x and BD. Give both answers b

Question

3 years ago

13

elow.

2 answers:

GREYUIT [131] · Answer 1 · 2022-01-30T07:54:58+03:00

Answer:

x=10 and BD=74

Step-by-step explanation:

In a rectangle, the two parts of the diagonals are always equal to each other. This means that AE=CE=BE=ED.

So, if AE is 3x+7, this means DE and BE are also 3x+7, so BD is twice that, or 2(3x+7) which when you multiply it is 6x+14.

Oh, also, since it says CE=37, this means that 3x+7=37

3x+7=37

-7 -7

3x=30

x=10

Now that you know that BD is 6x+14, and x is 10, simply multiply it.

6(10)+14=BD

60+14=BD

74=BD

Mila [183] · Answer 2 · 2022-01-30T06:41:40+03:00

Mila [183]3 years ago

7 0

Answer:

x = 10

BD = 74

Step-by-step explanation:

Find x by setting 3x+7 equal to 37. Solve for x by subtracting 7 on both sides then divide by 3 to get x=10.

Since 37 is half of AC, multiply that by 2 to find AC or BD, which are the exact same length of 74.