We have m(<CBO) = (1/2) · m(<CBE) = (1/2) · ( x + z );
In the same way, m(<BCO) = (1/2) ·( x + y);
m(<BOC) = 180 - [(1/2) · ( x + z ) + (1/2) ·( x + y)] = 180 - (1/2)· ( x + x + y + z );
But, x + y + z = 180;
Then, m(<BOC) = 180 - (1/2)·( x + 180 );
Finally, m(<BOC) = 90 - (1/2)·x;
So, m(<BOC) = 90 - (1/2)·m(<BAC).
Let M be the age of Maggie and B the age of her younger Brother:
Rewrite the problem from English language to Math's:
B = 2.M - 10 (1)
and M + B = 29 (Given) OR B = 29 -M (2)
Plug 2) into 1):
29 -M = 2.M -10
29 + 10 = 3 M →→3M = 39 and M = 39/3 = 13
Replace M by 13 and you will find B =6
Then Maggie = 13 year old and her brother B = 6 year old
Answer:
Right, Acute, Scalene.
Step-by-step explanation:
Answer:
Step-by-step explanation:
<em>Note all arguments of trigonometric functions are in degrees.</em>
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Since tan(35)=4/(longer dotted leg of the triangle), the length of this longer dotted leg is thus 4/tan(35).
Since A=bh, the area is (4/tan35)(12), and you can just plug this into a calculator.
You have a total of 5 cans, because 1+3+1=5.
1 can is tomato soup.
So, the probability of selecting tomato soup randomly is 1/5.
