Answer:
<em>The percent of change in population was 2.58%</em>
Step-by-step explanation:
<u>Percentage calculations</u>
The percent of change of some quantity is the relation between the difference of its values with respect to the original value. That is, if something had a value of 
and then it had a value of 
, the change is 
, the ratio of change is
And the percent of change is
If this number is positive, the change was an increase. If is negative it was a decrease
The population of Boston Massachusetts was 574,283 and changed to 
.
The percent of change is
The percent of change in population was 2.58%
Question:
Marco plotted the following points on the number line.
Point A: 0.3 Point B: 3/4 Point C: 11/4 Point D: 0.7
Which point did he plot incorrectly?
Answer:
Point D
Step-by-step explanation:
Given
Required
The incorrectly plotted point
Number plotted on a number line increases from left to right. This implies that:
Substitute the values for the given points
Express as fractions
Up till 2.75, the order of the numbers is correct.
However, 0.7 is less than 0.75 and 2.75
So, 0.7 is not placed correctly.
<em>This implies that point D is not correctly placed</em>
You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
a) Parallel for both line segments have the same slope = -5/4
b) 55º
Step-by-step explanation:
a) To verify the parallelism of these line segments, It's necessary to find the slope of each one. Parallel lines share the same slope value:
b) If ∠DAB = 125°, what is the measure of ∠CBA? Justify your reasoning.
Those beams do not form a parallelogram because:
Using the formula of distance between those points
So this is a trapezoid. And two adjacent angles within a trapezoid are supplementary, so If ∠DAB = 125º then 180 - ∠CBA=55º
