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kolbaska11 [484]
3 years ago
12

Quadrilateral ABCD is a rectangle. BD = 6x - 14 and AC = 8x - 20. What is BD?

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

Answer:

4

Step-by-step explanation:

The diagonals are equal length:

6x - 14 = 8x - 20\\-2x = -6\\x = 3

BD = 6x - 14\\BD = 6 * 3 - 14\\BD = 18 - 14\\BD = 4

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Jackson rides his bike from his home for 30 minutes at a fast pace. He stops to rest for 20 minutes, and then continues riding i
Dimas [21]

Answer:

For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.

Then he stops for 20 minutes, we will represent this with a constant line.

Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.

A sketch of this situation can be seen below.

5 0
3 years ago
What is the length, in feet, of the hypotenuse of a right triangle with legs that are 3 feet long and 4 feet long? Question 10 o
wel
A^2+b^2=c^2 so 4(4) +3(3) is 16+9= 25 and the square root of that is 5.
7 0
3 years ago
Linear equation topic. (Lisa is 5 years younger than his elder brother,Daniel.The product of their ages is 2/3 of their grandmot
alisha [4.7K]
Let Daniel's age be 'x' years , hence, Lisa's age is (x - 5) years. Let Grandma's age be 'y' = 54 years.
Hence,
x(x - 5) = 2/3 × y
x² - 5x = 2 × 54 years / 3
x² - 5x = 36 years
x² - 5x - 36 = 0
∆ = (-5)² - 4(1)(-36) = 25 + 144 = 169
√∆ = √169 = 13
x\:  =  \:  \frac{ - b \:   \frac{ + }{ }   \:  \sqrt{ {b}^{2}  \:  -  \: 4ac} }{2a}
x1 = (5+13)/2, x2 = (5-13)/2
x1 = 9, x2 = -4
Since, age can't be negative,
Daniel's age = x = 9 years.
7 0
3 years ago
The square of a number is 12 less then 7 times the number. 2hat is the number
Salsk061 [2.6K]
Hello.

The are answer is 4 or 3 
<span>

3^2 = 7(3) - 12
9 = 21 - 12
9 = 9

</span>4^2 = 7(4) - 12
16 = 28 - 12
16 = 16

Have a nice day
3 0
3 years ago
Please help with this question
myrzilka [38]
13-9 = 4
4-4 = 0
0 divided by 2 = 0
2x = 0
x = 0
7 0
3 years ago
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