1. statement: angles 1 and 2 are supplementary, reason: adjacent angles on a straight line are supplementary
2. reason: Vertical angles are congruent
3. reason: Parallel lines for supplementary interior angles on the same side as the transverse
4. statement:angles 1 and 5 are equal reason:If two angles are supplementary to the same angle, they are congruent
The linear equation that represents the scenario is 5x + 2.5y = 20
<h3>How to determine the equation?</h3>
The given parameters are:
- Popcorn = $5 per bag
- Candy = $2.5 per bag i.e. half the price of pop corn
Let x represents popcorn and y represents candy.
So, we have:
5x + 2.5y = 20
The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy
See attachment for the graph
Read more about linear functions at:
brainly.com/question/4025726
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horizontal line: x=9
vertical line: y=3
You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other
1/3 of $288 is $96 So, therefore Shally had $96 at first.
But They both didn't have the same amount of money after too because:
1/3 of $288 is $96
$96 + $68 = $164 So Shally has $164
Now, $288 - $96 = $192. So Katherine has $192
So therefore they did not have the same amount of money but 1/3 of $288 is $96
Answer:
Answer in simplified form is - 10 1/2 .
Step-by-step explanation:
We have given,
(5 1/4) ÷ (- 2 1/2)
This can be simplified as :
(5 1/4) ÷ ( -2 1/2)
Since 5 1/4 = 21/4 and -2 1/ 2 = -5/2
So we can write,
(5 1/4) ÷ ( -2 1/2) = 21/4 ÷ ( - 5/2)
or (21/4) / (-5/2)
or ( 21/4) * (-2/5)
or -42/20
or -21/10
or - 10 1/2 , this is the answer
Hence we get answer in simplified form as -10 1/2