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pashok25 [27]
3 years ago
8

A conjecture and the paragraph proof used to prove the conjecture are shown.

Mathematics
1 answer:
aleksklad [387]3 years ago
6 0

Observe the figure given.

Let us complete the given paragraph:

It is given that E is the midpoint of DF. So, DE \cong EF by the definition of midpoint.

As, midpoint divides the line segment into two equal halves.

Therefore, DE  =EF by the segment congruence postulate. DE+EF = DF by the segment addition postulate and so DE+DE = DF by substitution.

Segment Addition Postulate states that given 2 points P and Q, a third point S lies on the line segment PQ if and only if the distances between the points satisfy the equation PS + SQ = PQ.

Simplifying gives 2DE = DF.



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What's the hight of a million pennies
TiliK225 [7]

The thickness of a brand new US penny that hasn't been
worn down is 1.52 millimeters.

If you have a million pennies, there are many ways to arrange them.
You can pile them all in one pile, or shovel them into many piles, or
stack them up in any number of stacks up to a half-million stacks
with two pennies in each stack, or try somehow to stack them all up
in one stack that's a million thicknesses high.

Any stack with 'n' pennies in the stack is  1.52n millimeters high.

If you somehow succeed in stacking all million of them in one stack,
then the height of that stack would be . . .

       (1,000,000) x (1.52 mm) =  1,520,000 millimeters
                                                         152,000 centimeters
                                                             1,520 meters
                                                               1.52 kilometers

                                            (about 59,842.5 inches
                                                          4,986.9 feet
                                                         1,662.3 yards
                                                               7.56 furlongs
                                                            0.944 mile
                                                                  all rounded)

3 0
3 years ago
For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. What are the five numbers? Plz help me plz
solniwko [45]
Mean is the average, mode is the number that is repeated most often and the median is the middle number.  We know there are 5 numbers so, 5 is the middle as it is the median #. The mode has to appear more than once or 5 would also be a mode.
1 1 5 _ _  
M = 1+1+5+x+y /5
4 = 1+1+5+x+y/ 5
4 = 7+x+y / 5
Average of 5 numbers is 4 therefore 4 times 5 = 20
20-7 = 13, what two numbers that are more than 5 equal 13?  Only 6 &7.
4 = 1+1+5+6+7 / 5
3 0
3 years ago
Una pizza grande de queso cuesta $18. Cada ingrediente extra cuesta $1.50
RideAnS [48]

Answer:

3

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Toda la futura variación de pizzas se ha elaborado con cuatro ingredientes distintos: la base, la salsa, el queso y la cobertura. Pero, dado que no hay cobertura, la respuesta sería 3.

-LavenderVye

5 0
2 years ago
Find the surface of the prism with a height of 5, width of 11 and a length of 7
sergeinik [125]

Answer:

it is 385

Step-by-step explanation:

I multiplied 11 by 5 and got 55. then multiplied 55 by 7 and got 385 ;)

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3 years ago
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bearhunter [10]

Answer:

2%

Step-by-step explanation:

It increases one, so it increases 1/50, which is 0.02

2%

3 0
3 years ago
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