Explain why the lines are parallel given the angles shown. Assume that all tile patterns use this basic shape.
1 answer:
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Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;
Using distributive property on LHS (i.e, )
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,
Simplify:
x =13
Therefore, the original number x is, 13
EXPLANATION :
From the problem, 10 cups of basil are needed to make 5 jars of pesto.
So we can say that 2 cups are needed to make 1 jar of pesto.
The ratio is 2 : 1
From the options, option B satisfies with this condition.
2 cups is to 1 Jar
4 cups is to 2 Jars
10 cups is to 5 Jars
a. The answer is B.
b. To graph, plot the points from option B with (basil, pesto)
(2, 1)
(4, 2)
and (10, 5)
The graph will be :
c. To make 4 jars of pesto, we need to locate y = 4 for pesto then match it with the x-coordinate which is the number of cups of basil.
The new point is (8, 4), so to make 4 jars of pesto, you will need 8 cups of basil.
