The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Step-by-step explanation:
Let,
The longer leg = x
The shorter leg = x-7
Hypotenuse = x+7
Using Pythagoras theorem;
Either,
x= 0
Or,
x-28=0 =>x=28
As length cannot be zero, therefore,
Longer side = 28cm
Shorter side = x-7 = 28-7 = 21cm
Hypotenuse = x+7 = 28+7 = 35cm
The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.
Keywords: triangle, pythagoras theorem
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Might be 134 because since angle 2 and 8 are lined up like that it is same side exterior angles which means they are supplementary from each other so they will equal 180. So I did 180-46 to get 134, I’m not sure if I’m correct
From the computation done, the total kilometers that he uses last month will be 262.8 kilometers.
The total length of a trip to and from work is 14.6 kilometers and last month, Jeremiah worked 18 days.
Therefore, the kilometers that he rode his bike to and from work last month will be;
= 14.6 × 18.
= 262.8 kilometers.
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I don’t see anything. What is the problem.
Multiply both sides of the second equation by 100 to get rid of the decimals:
0.05<em>n</em> + 0.10<em>d</em> = 1.50
==> 5<em>n</em> + 10<em>d</em> = 150
Multiply both sides of the first equation by -5:
<em>n</em> + <em>d</em> = 21
==> -5<em>n</em> - 5<em>d</em> = -105
Add the two equations together:
(5<em>n</em> + 10<em>d</em>) + (-5<em>n</em> - 5<em>d</em>) = 150 + (-105)
Notice that the terms containing <em>n</em> get eliminated and we can solve for <em>d</em> :
(5<em>n</em> - 5<em>n</em>) + (10<em>d</em> - 5<em>d</em>) = 150 - 105
5<em>d</em> = 45
<em>d</em> = 45/5 = 9
Plug this into either original equation to solve for <em>n</em>. Doing this with the first equation is easiest:
<em>n</em> + 9 = 21
<em>n</em> = 21 - 9 = 12
So Donna used 12 nickels and 9 dimes.
