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stira [4]
3 years ago
10

Answer the question below, and then fill in the blanks if necessary.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
6 0

Answer:

Yes

80-24

Step-by-step explanation:

Using distributive property, multiply 8 by 10 and 8 by negative 3.

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The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Write and solve an a
OLEGan [10]

Answer:

The dimensions are length=32 inches and width=24 inches

Step-by-step explanation:

Recall that perimeter of a rectangle is

P  = 2(w + l)

The ratio of its length to width is 4:3.

This implies that,

\frac{l}{w}  =  \frac{4}{3}  \\ l =  \frac{4}{3} w

We substitute P=112 inches, and l in terms of w to get;

112 = 2(w +  \frac{4}{3}w)

56 = w +   \frac{4}{3}w

168 = 3w + 4w

7w = 168

w =  \frac{168}{7}  = 24

The length is

l =  \frac{4}{3}  \times 24 = 32

5 0
3 years ago
3 times the sum of x and 6 equals 10 times the difference of x and 1.
o-na [289]
3(x + 6) = 10(x - 1)
4 0
3 years ago
For what values of x and y must each figure be a parallelogram?
Illusion [34]

Answer:

x=11,y=10.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other.

We can form an equation in x and y using this property.

2y+2=2x

and x+9=2y.

Solving the second  equation for x ,

x=2y-9.

Substituting x value in 2y+2=2x

2y+2=2(2y-9)

Or ,2y+2=4y-18.

Adding 18 both sides:

2y+20=4y.

Subtracting 2y both sides

20=2y.

Dividing both sides by 2:

y=10.

x=2y-9

x=2(10)-9 ( substituting y value)

x=20-9=11

x=11 and y=10 will make the figure a parallelogram.

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