Answer:
25
Step-by-step explanation:
The pattern is + 1, + 3, + 6,... i.e. + 1, + (1 + 2), + (1 + 2 + 3),...
.'. Missing number = 15 + (1 + 2 + 3 + 4) = 25.
Problem 2
Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.
Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.
Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.
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Problem 3
The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.
The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.
If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF
Then we can say,
GH = GN + NH
GH = EF + EF
GH = 2*EF
Ascending means going up
First change into decimals
3/4=0.75
1/12=0.083
9/16=0.5625
7/24=0.291666…..
Start from smallest to largest number
0.291666…..,0.5625,0.75,0.083
Find their fractions
7/24,9/16,3/4,1/12
Answer:7/24,9/16,3/4,1/12
To answer this you have to use Pythagoras's theorem: a^2 + b^2 = c^2
Put in the values:
5^2 + 15^2 = c^2
Simplify it:
25 + 225 = c^2
Simplify again:
250 = c^2
Square root both sides:
15.8113883008 = c
So the ramp is:
15.8113883008 feet
Now round the number:
15.8ft
The above is the answer :)
(btw sorry in advance if you've spotted a mistake)