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TiliK225 [7]
2 years ago
8

ABCD is a quadrilateral and a line through A parallel to BC meets DC at X. If angle D=angle C , prove that ADX is isosceles.

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
7 0

Answer:

see picture below

Step-by-step explanation:

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One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.
poizon [28]

Answer:

Mean: \bar x = 40.61

Median =40.2

Mode = 43.4

Step-by-step explanation:

Given

See attachment for data

Solving (a): The mean

Mean is calculated as:

\bar x = \frac{\sum x}{n}

From the attached:

n = 14

So, the mean is:

\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}

\bar x = \frac{568.58}{14}

\bar x = 40.61

Solving (b): The median

n = 14; this is an even number. So, the median is:

Median = \frac{1}{2}(n+1)

Median = \frac{1}{2}(14+1)

Median = \frac{1}{2}(15)

Median = 7.5th

This implies that the median is the average of the 7th and 8th item.

Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>

The 7th and 8th items are: 40.2 and 40.2

The median is:

Median = \frac{1}{2}(40.2 + 40.2)

Median = \frac{1}{2}*80.4

Median =40.2

Solving (c): The mode

43.4 has the highest number of occurrence.

So:

Mode = 43.4

8 0
3 years ago
There are 100 tiles in a word game, and 2 of the tiles are blank. Kiera draws 6 tiles, and none of them are blank.
Kay [80]

Answer:

\frac{1}{47} or around 2%

Step-by-step explanation:

So we need to see how many tiles are left.

100 - 6 = 94

So we have 94 tiles. 2 of them are blank, so the chance of one being blank is:

2 / 94 which is \frac{1}{47}

And that is our answer! Hopefully this helps, have a nice day :D

7 0
3 years ago
The points on the coordinate grid below show the locations of the houses of four students in a class. If Dora's house is at (−0.
AVprozaik [17]

Answer:

Mike

Step-by-step explanation:

Hope this helped!

~Emma~

8 0
2 years ago
Find the value of c so that (x+2) is a factor of the polynomial<br><br> p(x)=3x^4-x^2+cx-2
DedPeter [7]
Using polynomial long division, we get
         
         3x^3+6x^2+11x
         _____________
(x+2) | 3x^4-x^2+cx-2
          -(3x^4+6x^3)
          ____________
             6x^3-x^2+cx-2
          - (6x^3+12x^2)
         _____________
        11x^2+cx-2
      -(11x^2+22x) 
       __________
        (22+c)x-2. 

If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.

For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
4 0
3 years ago
What number is 150 more than the product of 5 and 4892
stiv31 [10]
5×4892=24460+150=24610
3 0
3 years ago
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