Let's represent Nemo's age with an n.
Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8
In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.
n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12
That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.
To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.
Two triangles: left triangle with y degrees and 40 degrees and right triangle with x degrees.
- 40 degrees from the left triangle, when adding with the unknown angle of the right triangle, is equal to 180 degrees.
- Adding left triangle's (third) undetermined angle and x degrees angle (the other same angle), is equal to 90 degrees.
- The right triangle is an isosceles triangle, meaning two equal angles, and one of them is x degrees. Thus, the other same angle is also x degrees.
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1) Subtract 180 - 40 = 140 degrees. 140 degrees is the unknown angle of right triangle.
2) 140 + x + x = 180 (equation)
- 140 + 2x = 180
- 2x = 180 - 140
- 2x = 40
- x degrees = 20 degrees
ANSWER: x = 20 DEGREES
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1) With knowledge of x degrees being 20 degrees, the other same angle is 20 degrees, too.
2) Subtract 90 - 20 = 70 degrees. 70 degrees is the (third) undetermined angle
of left triangle.
2) 70 + 40 + y = 180
- 110 + y = 180
- y = 180 - 110
- y = 70 degrees
ANSWER: y = 70 DEGREES
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Whew. Hope this helps you out, and let me know asap if you're confused on any part.
Answer:
percent of iron in alloy= 100-42 = 58%
weight of the iron = 55×58÷100= 31.9
weight of iron= 31.9 kg
weight of copper= 55-31.9=23.1
weight of copper = 23.1
Step-by-step explanation:
[ I'm not sure but I think this is right ]
Answer:
2/9
Step-by-step explanation:
if u multiply 2/3 × 1/3 u get 2/9
