Georgia's height is 4 inches less than Sienna's height. Georgia is
2 answers:
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Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
...........(1)
............(2)
...........(3)
...........(4)
Now we adding equation 2 and 4, we get the value of x.
Now we are putting the value of x in 4, we get the value of y.
Therefore, the value of x and y is 8 and 10 respectively.
First step: name the sides according to geometry standards, namely, the sides are named the same lowercase letter as the opposing angle. A revised diagram is shown.
Second step: we need to know the relationships of the trigonometric functions.
cosine(A)=cos(63) = adjacent / hypotenuse = AC/AB .................(1)
sine(A)=sin(63) = opposite / hypotenuse = CB/AB .......................(2)
We're given AB=7, so
using (1)
AC/AB=cos(63)
AC=ABcos(63)=7 cos(63) = 7*0.45399 = 3.17993 = 3.180 (to three dec. figures)
Using (2)
BC/AB=sin(63)
BC=ABsin(63) = 7 sin(63) = 7*0.89101 = 6.237 (to three dec. figures).
