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alexira [117]
3 years ago
7

What are the coordinates of the endpoints of the midsegment for △LMN that is parallel to LN¯¯¯¯¯ ?

Mathematics
1 answer:
Brut [27]3 years ago
3 0
<span>(3, 4.5) and (3, 3)

       The midsegment of a triangle is a line connecting the midpoints of two sides of the triangle. So a triangle has 3 midsegments. Since you want the midsegment that's parallel to LN, we need to select the midpoints of LM and MN. The midpoint of a line segment is simply the average of the coordinates of each end point of the line segment. So:

   Midpoint LM:

   ((0+6)/2, (5+4)/2) = (6/2, 9/2) = (3, 4.5)

       Midpoint MN:

   ((6+0)/2, (4+2)/2) = (6/2, 6/2) = (3, 3)

       So the desired end points are (3, 4.5) and (3, 3)</span>
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When ringing up a customers cashier needs 25 seconds to process payment as well as 1 second to scan each item being purchased. H
Sergio [31]

Multiply the amount of seconds to ring up items by the amount of items.

1 × 17 = 17

Now add the amount of seconds to process a payment to the product.

17 + 25 = 42

<h2>Answer:</h2>

<u>It takes </u><u>42 seconds</u><u> to ring up a customer with 17 items.</u>

5 0
3 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
kiruha [24]

Answer:

Diverges

Step-by-step explanation:

For the improper integral to converge the limit must exist, if the limit does not exist or is infinite the integral diverges;

\int\limits^a_b {(2x+4)/x^2+4x+5} \, dx#

Where a and be is infinity

The solution of this is infinity and therefore the integral diverges because the first expression is undefined because ∞/∞, the second term is 4·∞ which is infinity and infinity added to any number is infinity

3 0
3 years ago
here are five rods a-1 a a a a+3 all measurements are in cm the total length of the five rods is l cm find a formula for l in te
Elenna [48]

Answer:

I=5a+2 (simplified form)


Step-by-step explanation:

I is the total length of all the 5 rods.

Each of the 5 parts lengths are (a-1), a, a, a, (a+3), respectively.


<em>We add all of them and equate it to I:</em>

I=(a-1)+a+a+a+(a+3)

<em>Simplifying this, we take like terms and add:</em>

<em>I=(a-1)+a+a+a+(a+3)\\I=5a-1+3\\I=5a+2</em>


5 0
3 years ago
A dart board has a circumference of 53.3 inches. What is the distance from the edge of the dart board to the exact center ofthe
loris [4]

Answer:

The solution is 8=r

Step-by-step explanation:

When the question states, "What is the distance from the edge of the dart board to the exact center of the bullseye (to the nearest inch)," it is basically asking to find the radius rounded to the nearest whole number given the circumference quantity.

Thus, we need to substitute the numbers already given into the radius equation.

53.3=2 x 3.14 x r

Now, divide both sides by 3.14.

16.97=2r

Again, use division property of equality and divide both sides of the equation by 2.

8.4=r ... then rounding to the nearest inch... 8=r

All things said, the solution is 8=r

I hope this helped!!

~Penny

4 0
3 years ago
Expression A Expression B Expression C (−5)(−0.4)(1.8) (-45)(-19)(-112) −1(5+17) Expression D Expression E Expression F (−5)(−0.
kramer

Answer:

Expressions A, E, and F

Step-by-step explanation:

In general, when negative integers are multiplied; if the negative integers are even, then the product would be positive. But if the negative integers are odd, then the product would be negative.

Thus,

A. (−5)(−0.4)(1.8) = (2.0)(1.8)

                           = 3.6

B. (-45)(-19)(-112) = (855)(-112)

                           = -95760

C. −1(5+17) = -1(22)

                 = -22

D. (−5)(−0.4)(1.8)(−3.25) = (2.0)(-5.85)

                                      = -11.7

E. (-49)(-34)(-12)(-12) = (1666)(144)

                                = 239904

F. −1(3.5−7) = -1(-3.5)

                  = 3.5

Thus expressions A, E and F have positive products.

4 0
3 years ago
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