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Elis [28]
3 years ago
5

Assessment Practice

Mathematics
2 answers:
frosja888 [35]3 years ago
7 0

Answer:

D

Step-by-step explanation:

seraphim [82]3 years ago
3 0

Answer:

45

Step-by-step explanation:

45 don't belong

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Please hurry!!!! 20 pts
Ivahew [28]

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:

m=\frac{y_2-y_1}{x_2-x_1}

So:

<u>Slope of JK:</u>

m_1=\frac{3-1}{2-(-4)}\\=\frac{2}{2+4}\\=\frac{2}{6}\\=\frac{1}{3}

<u>Slope of LK:</u>

m_2=\frac{-3-3}{5-2}\\=\frac{-6}{3}\\=-2

<u>Slope of ML:</u>

m_3=\frac{-3-(-5)}{5-0}\\=\frac{-3+5}{5}\\=\frac{2}{5}

<u>Slope of MJ:</u>

m_4=\frac{1-(-5)}{-4-0}\\=\frac{1+5}{-4}\\=\frac{6}{-4}\\=-\frac{3}{2}

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

Learn more about quadrilateral at;

  • brainly.com/question/5191807
  • brainly.com/question/5312408

#LearnwithBrainly

6 0
2 years ago
Tasha invests $5000 annually at 6% and an additional $5000 annually at 8%. Thomas invests $10000 annually at 7%. Which statement
REY [17]

Answer:

Answer:

Option B is correct.

Step-by-step explanation:

We will compare the interest earned by both.

Tasha: p = $5000

r = 6% or 0.06

n = 1

So, Amount after a year will be = = $5300

And amount the next year with p = 5300: 5300*1.06= $5618

Additional $5000 at 8%

Here the amount will be = =5400

Next year amount with p = 5400 : 5400*1.08 = $ 5832

Amount in total Tasha will have in 2 years = 5618+5832 = 11450

Thomas:

p = 10000

r = 7% or 0.07

n = 1

After a year the amount will be = =$10700

Amount Next year with p = 10700 : 10700*1.07 = $11449

*****Just after 1 year we can see that Tasha's total amount is high than Thomas. This means at the same consistent rate, each year Tasha's amount will always be higher than Thomas.

So, option B is correct. Tasha’s investment will yield more over many years because the amount invested at 8% causes the overall total to increase faster.

6 0
3 years ago
Read 2 more answers
Shaneya purchased a membership to play basketball at her local gym. The membership costs $450 for the year, plus she pays $10 to
olga55 [171]

Answer:

55

Step-by-step explanation:

So start with the total 1,000

then take the 1,000 and minus it by the 450 year so then you can see how much money you have left for the times that she can go to the gym to play.

1,000 - 450 = 550

Now you 550 dollars because basic math. Then you divide the number you got which the number you got was 550 so 550÷10 you divide it by 10 because the rent is 10 each time.

550 ÷ 10 = <u>55</u>

Now you get 55 so that means she can got to the gym 55 times before she goes over 1,000 dollars!

Hoped this helped. Don't forget a middle school person did this so I bet you could have too!

6 0
2 years ago
Convert each rational number into its decimal form. 1. 1/3 2. 1/6 3. 1/9
stepladder [879]

Answer:

1. 0.33  2. 0.16  3. o.11

Step-by-step explanation:

5 0
2 years ago
Correct position in the answer box. Releast your
Aloiza [94]

The equation of the line is y=6x+37

Step-by-step explanation:

You can write the equation using the slope intercept form techniques which is y=mx+c where m is the slope of the line and cis they intercept constant.

Given the point (-6,1) and slope m=6then

Δy/Δx =m

y-1/x--6 = 6\\\\y-1/x+6=6\\\\\\y-1=6(x+6)\\\\\\y-1=6x+36\\\\\\y=6x+36+1\\\\y=6x+37

5 0
3 years ago
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