Answer:
4 units
Step-by-step explanation:
Since the two triangles are similar, their sides are proportional. To find the length of the side, you need to use the distance formula:
The coordinates you will use are (0, 0) and (-4, 0) because they correspond to points X and Y in Triangle PQR:
Then, simplify everything under the radical:
Finally, take the square root of 16:
= 4
The minimum and maximum percentages of voters who could vote Republicans are 40% and 44% respectively, while Green are 0% and 4%
<h3>The minimum and maximum percentages of voters in Republicans? Green?</h3>The attached circle graph represents the missing information in the question.
From the graph, we have:
Republicans = 42%
Green = 2%
The actual percentage is given as: ±2%
So, we have:
Republicans = 42% ± 2% = (40%, 44%)
Green = 2% ± 2% = (0%, 4%)
Hence, the minimum and maximum percentages of voters who could vote Republicans are 40% and 44% respectively, while Green are 0% and 4%
<h3>The absolute value equations of part (a)?</h3>We have:
The actual percentage is given as: ±2%
Let the number of votes be on the circle graph be x and the range be y.
So, we have:
y - x = ±2%
Express as absolute value equation
|y - x| = 2%
For Republicans, we have:
|y - 42%| = 2%
For Green, we have:
|y - 2%| = 2%
Hence, the absolute value equations are |y - 42%| = 2% and |y - 2%| = 2%
<h3>The party of candidate that receives 44% vote</h3>In (a), we have:
Republicans = 42% ± 2% = (40%, 44%)
Hence, the party of candidate that receives 44% vote is Republican
Read more about circle graphs at:
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