The percent of change in the number of points she scored between the first and second tests = 4.878 %
<h3>What is percentage decrease?</h3>
If the data is decreasing,
Decrease = Original Number - New Number.
Then: divide the decrease by the original number and multiply the answer by 100.
% Decrease = Decrease ÷ Original Number × 100.
Given that:
The score of first Math test = 82
The score of second Math test = 78
Changes occurs in marks by=78-82
=-4
So, there is decrease in marks.
We have to find the decrease percentage:
Decrease%= 
= 
= 0.04878 * 100
= 4.878 %
There is 4.88% decrease in Olivia's score.
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Answer:
8. ∠1=118° ∠2=118°
9. ∠1=72° ∠2=108°
10. ∠1=127° ∠2=127°
Step-by-step explanation:
8. In this problem, 118° is corresponding to ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, meaning that together, they equal 180°. So, to get ∠2, you must subtract 118° from 180°
9. In this problem, 72° is same side interior with ∠1, meaning they are congruent. ∠2 is supplementary with ∠1, so you do 180°-72°= 108°
10. In this problem, ∠1 is vertical angles with 127°, making them equal to each other. ∠2 is corresponding with 127°, making them also equal.
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is = x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27 ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y
9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4
x=5-y
x=5-4=1
The number is: 10x+y=10(1)+4=14
Answer: the number is 14
Answer:
Step-by-step explanation:
d
