Answer:
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Step-by-step explanation:
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Answer:
1) x = 42 ; y = 42
2) x = 72 ; y = 48 ; z = 60
Step-by-step explanation:
1)
x + 42 + 96 = 180
x + 138 = 180
x = 42
y + 42 + 96 = 180
y + 138 = 180
y = 42
2)
x + 108 = 180
x = 72
y + 132 = 180
y = 48
z + x + y = 180
z + 72 + 48 = 180
z + 120 = 180
z = 60
Answer:
Answer: -7
Step-by-step explanation:
Pythagoras theorem: leg 1 squared + leg 2 squared = hypotenuse squared
In the diagram, the triangle has angles 90 and 45. So the other angle in the triangle must be 45 degrees as well. (180 - 90 -45 = 45)
This means it is an isosceles triangle (since two angles are the same), so the two legs have the same length.
So we can say that length of leg1 = x, and the length of leg2 also equals x
Now let's use pythagoras' theorem:
leg1 = x
leg2 = x
hypotenuse = 16
x^2 + x^2 = 16^2
2x^2 = 16^2
2x^2 = 256
x^2 = 128
x = √(128)
x = 8√2
To find the total length of the two copper pipes, we need to add them together.
2 5/12 + 3 7/12 = 5 12/12
Since 12/12 = 1 or a whole, we can simplify this further.
5 12/12 = 6
Hope this helps!
