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PIT_PIT [208]
2 years ago
3

State the reason why K = M Given: KLMN is a parallelogram.

Mathematics
1 answer:
xxTIMURxx [149]2 years ago
8 0
If KLMN is a parallelogram, then that means it must have only 4 sides and the opposite sides must be parallel.
For example;
A square, rectangle or rhombus.
A square has 4 equal sides, having the length's and width's opposite sides being parallel.
A rectangle has 2 pairs of equal sides; lengths and widths. The lengths or widths will be double the adjacent side.
A rhombus, similar to a rectangle, has 2 equal pairs of sides.

If K = M in Parallaleogram KLMN, then it must apply to one of the examples above.

I hope this helps!
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Amee received an end of year bonus of $1550 at work and went on a shopping spree. She spent $225 at the department store, $275 a
atroni [7]

Answer: She has $1022 left.

Step-by-step explanation:

The total amount that Amee received an the end of year as bonus at work is $1550.

She went on a shopping spree, spending $225 at the department store, $275 at the home furnishing store, and $28 at the card shop. Therefore, the total amount that she spent at the department store, the home furnishing store, and the card shop is

225 + 275 + 28 = $528

Therefore, the total amount of her bonus that she has left is

1550 - 528 = $1022

6 0
2 years ago
Graph the linear equation. Find three points that solve the equation, then plot on the graph. -3y=x-6
nata0808 [166]

Answer:

Step-by-step explanation:                               x - 6

The given equation can be re-written as y = ---------                              

                                                                             -3

Arbitrarily choose x = 0.  Then:

      x - 6         0-6

y = --------- = ----------- = 2, so (0, 2) is a point on the graph which is also the                              

          -3            -3                                                                  y-intercept

Arbitrarily choose x = 6.  Then y = 0, and (6, 0) is another point on the graph                                    

                                                              which happens to be the x-intercept

arbitrarily choose x = 12.  Then y = (12 - 6) / (-3) = -2.  Then  (12, -2) is            

                                                                                  another point on the

                                                                                  graph.

Plot (12, -2), (6, 0) and (0, 2).  Draw a line through these three points.

6 0
2 years ago
The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow
mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)

Hence since it passes through  (7.75, 0) and (10.75, 42), the equation is:

y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0
2 years ago
Find the area of the trapezoidal cross-section of the irrigation canal shown below. Your answer will be in terms of h, w, and θ.
Setler [38]
The answer is :h^2/tanθ+wh
5 0
2 years ago
The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th
Anit [1.1K]

we are given

a=f(t)=2t^2

we can use average rate of change formula from t=a to t=b

A=\frac{f(b)-f(a)}{b-a}

Here, we are given from t=1 to t=4

so, we will get formula as

A=\frac{f(4)-f(1)}{4-1}

now, we can plug values

A=\frac{2(4)^2-2(1)^2}{4-1}

now, we can simplify it

A=10

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4  is 10 acres/ month.............Answer

6 0
2 years ago
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