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3 years ago

What is the area of rectangle CDEF? Area= ...square units

Mathematics

1 answer:

Norma-Jean [14]3 years ago

8 0

Step-by-step explanation:

I think it's 48 square units

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Explain why a rotation of 90 degrees around any point zero never maps a line to a line parallel to itself

Elis [28]

Answer:

Since zero is on the origin (0,0) a 90 degree rotation will intercept the origin no matter what so, it can't be parallel.

Step-by-step explanation:

8 0

3 years ago

If BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6, what are the values of x and AC?

Keith_Richards [23]

Answer: x=7 and AC = 44 unuts.

Step-by-step explanation:

We know that the diagonals of a parallelogram bisect each other. (i)

Here in parallelogram ABCD , AC and Bd are diagonals intersecting at E.

BE = 2x + 2, BD = 5x – 3, and AE = 4x – 6

Using (i)

$BE=\dfrac{BD}{2}\\\\2x+2=\dfrac{5x-3}{2}\\\\ 2(2x+2)=5x-3\\\\ 4x+4= 5x-3\\\\ 5x-4x=4+3\\\\ x= 7$

Now , AE = 4(7)-6 = 28-6 = 22

AC =2 AE = 2 (22) =44 units.

Hence, x=7 and AC = 44 unuts.

3 0

3 years ago

Help please just answer would be fine

scZoUnD [109]

The amount of water decreases $16\frac{1}{2}$ pints in 12 weeks.

Solution:

The amount of water decreases in 7 weeks = $9\frac{5}{8}$ pints

The amount of water decreases each week is same.

Let us first change the mixed fraction into improper fraction.

$9\frac{5}{8}$ pints = $\frac{(9\times8)+5}{8}$

$=\frac{77}{8}$ pints

The amount of water decreases in 1 week

$$=\frac{\frac{77}{8} }{7}$

$=\frac{77}{8\times7}$

$=\frac{11}{8}$

So, the amount of water decreases in 1 week is $\frac{11}{8}$ pints.

The amount of water decreases in 12 week

$=\frac{11}{8}\times12$

$=\frac{132}{8}$

$=16\frac{4}{8}$

$=16\frac{1}{2}$ pints

Hence the amount of water decreases $16\frac{1}{2}$ pints in 12 weeks.

4 0

3 years ago

Factor the polynomial:<br> ab −3b+b^2−3a

Pavlova-9 [17]

ab(b-3)

ab-3b+b^2-3a

(-3a+ab)(-3b+b^2)

a(b-3) b(b-3)

ab(b-3)

8 0

3 years ago

What is slope? <br><br> Vbxnkdb

Artist 52 [7]

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Step-by-step explanation:

3 0

3 years ago

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