The slope for is JK 1/3 , the slope of LK is -2 , the slope of ML is 2/5 , and the slope of MJ is 3/2 . Quadrilateral JKLM is not a parallelogram because neither pair of opposite sides is parallel
Further explanation:
Given vertices are:
J(−4, 1) , K(2, 3) , L(5, -3) , and M(0, −5) .
We have to find the slopes before concluding any result
The formula for slope is:
So:
<u>Slope of JK:</u>
<u>Slope of LK:</u>
<u>Slope of ML:</u>
<u>Slope of MJ:</u>
As the slopes of all sides are different, the given quadrilateral is not a parallelogram because in order for the quadrilateral to be a parallelogram the opposite sides have to be parallel i.e. have equal slopes and there are no sides with equal slopes.
Keywords: Parallelogram, Quadrilateral
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John invested the money at simple interest for 4.22 years.
We have,
Invested amount = $ 4500
Rate of interest = 5.5 %
Time = t years
Maturity value = $ 5545
So,
Total interest earned = $ 5545 - $ 4500 = $ 1045
And,
Simple interest = (Principal × Rate × Time ) / 100
So, Using the mentioned formula,
1045 = ( 4500 × 5.5 × t ) /100
1045 = 45 × 5.5 × t
⇒
t = (1045) / (45 × 5.5)
⇒ t = 4.22 years
Therefore, John invested the money at simple interest for 4.22 years.
Learn more about simple interest here:
brainly.com/question/22621039
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Answer:
Answer 30
Step-by-step explanation:
if you need to solve or see step- by step explanation here's a link https://mathsolver.microsoft.com/en/solve-problem/%60sqrt%7B%2050%20%20%7D%20%20%20%60times%20%203%20%60sqrt%7B%202%20%20%7D
Answer:
12.10 out of 58.60 is 20.648464163822524 or 21%
Step-by-step explanation:
work out the difference (increase) between the two numbers you are comparing
Increase = New Number - Original Number
Divide the increase by the original number and then multiply the answer by 100
% increase = Increase ÷ Original Number × 100.
Answer:
Step-by-step explanation:
