In the given figure, the Angle (6v - 4)° forms vertical opposite angle pair with 50° , so their measures is equal to one another.
that is :
therefore, value of v = 9°
A designer enlarged both the length and the width of a rectangular carpet by 60 percent. The new carpet was too large so the des
1 answer:
Answer:
300%
Step-by-step explanation:
Let the length of the carpet be L.
Let the width of the carpet be W.
The original area of the carpet is:
A = L * W = LW
The length and width are enlarged by 60%.
The new length is:
L + (L * 60/100) = L + 0.6L = 1.6L
The new width is:
W + (W * 60/100) = W + 0.6W = 1.6W
The length and width are then reduced by 25%.
The new length is:
1.6L + (1.6L * 25/100) = 1.6L + 0.4L = 2L
The new width is:
1.6W + (1.6W * 25/100) = 1.6W + 0.4W = 2W
The new area will be:
A = 2L * 2W = 4LW
To find the percentage increase in the area, we subtract the original area from the new area and divide by the original area:
4LW - LW = 3LW
% increase is:
= 300%
The area of the final item is 300% greater than the original item.
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Let's see what we're working on here
? = 0
Subtract ( - )the number 1 from each of your sides on this part
4(m) = 1
Multiply( ×) the number -1 to your sides for this part of the equation
Therefore, the value of m is
? = 0
Subtract ( - )the number 1 from each of your sides on this part
4(m) = 1
Multiply( ×) the number -1 to your sides for this part of the equation
Therefore, the value of m is
$72
<h3>Further explanation</h3><u>Given:</u>
Abbie spent ⁵/₈ of her money and saved the rest.
She spent $45.
<u>Question:</u>
How much money did she have at first?
<u>The Process:</u>
The meaning of "Abbie spent ⁵/₈ of her money" is that she has spent 5 of the 8 parts of the money she had at first.
Let us make a pattern of 8 units for the amount of money that Abbie had at first.
Since Abbie spent ⁵/₈ of her money, then we create a pattern of 5 units containing $9 each. Recall that
From the pattern above, we can see that
Let us calculate how much money Abbie had at first.
Thus, the money Abbie had at first is $72.
The complete pattern of Abbie's initial money is as follows:
- - - - - - - - - -
<u>Quick Steps:</u>
Let M as Abbie's initial money.
Both sides are multiplied by ⁸/₅ so that M is the subject alone on the left side.
We crossed out 5 and 45.
Thus, the money Abbie had at first is $72.
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Keywords: Abbie, spent 5/8 of her money, saved the rest, $45, $72, how much money, she have at first, the pattern
Answer:
<em>A) (-5,7)</em>
Step-by-step explanation:
<u>Functions and Relations</u>
A set of values A can have a relation with another set B as long as at least one element of A has at least one image in B. Functions are special relations where each element of A (the domain of the function) has one and only one image on B (the range of the function).
By looking at the options, we can see that x=9, x=-8, and x=-1 already have defined values in Y, so if we define another value for any of them the relation will stop being a function. The only possible choice to preserve the function is the option