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ICE Princess25 [194]
3 years ago
12

Given lines l, m and n are all parallel and cut by two transversal lines, find the value

Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

how many people white chocolate only i'm question is seventeen

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
9 marbles your draw one what is the probability of drawing a red pen? You have 2 yellow 3 black and 4 reds
Pie

Answer:

4 / 9

Step-by-step explanation:

There are 4 reds out of 9 so the probability would be 4 out of 9 or 4 / 9.

7 0
3 years ago
Read 2 more answers
A? B? C? D?..................................................
zhenek [66]

Answer:

A.

Step-by-step explanation:

yan na yannnnnnnnnnnnnnnn

5 0
2 years ago
Read 2 more answers
I need helpPlssssssssssssss
Semmy [17]

The correct answer would be B because .47 is bigger than 42/100 or .42

8 0
3 years ago
Estimate 61.68 - 48.225 by first rounding each number to the nearest whole number.
jarptica [38.1K]

Answer:

14

Step-by-step explanation:

61.68 = 62

48.225= 48

62-48= 14

4 0
3 years ago
Read 2 more answers
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