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ser-zykov [4K]
3 years ago
13

Do the diagonals of a rhombus bisect and are congruent?

Mathematics
1 answer:
umka2103 [35]3 years ago
4 0

Answer:

All the properties of a rhombus apply (the ones that matter here are parallel sides, diagonals are perpendicular bisectors of each other, and diagonals bisect the angles). All the properties of a rectangle apply (the only one that matters here is diagonals are congruent). All sides are congruent by definition.

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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?
swat32

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! :)

5 0
3 years ago
Read 2 more answers
Two cars leave from a town at the same time traveling in opposite directions. One travels 5 mph faster than the other. In 3 hour
Doss [256]

Let the slower cars speed equal X.

The faster cars speed would be X+5 ( 5 mph faster).


They traveled for 3 hours

Multiply the time of travel by speed to equal the number of miles traveled.

So you have:

3X + 3(X+5) = 267 miles

Simplify the left side:

3X + 3X+15 = 267

Combine like terms:

6x + 15 = 267

Subtract 15 from each side"

6x = 252

Divide each side by 6:

x = 252 / 6

X = 42


The slower car was traveling at 42 mph and the faster car was traveling at 47 mph.




7 0
3 years ago
HELP
TiliK225 [7]
I think it’s B I’m not sure about it but I hate wan I gat it wrong.
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What is the figure below?
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