First you would need to combine like terms. do you know how to do that?
Answer:
<BAC = 78
<ABC = 68
Step-by-step explanation:
The remote angles theorem states that when one extends a side of a triangle, the angle formed between the extension and one of the sides of the triangle is equal to the sum of the two non-adjacent angles inside the triangle. One can apply this theorem here and state the following,
<BAC + <ABC = <ACD
Substitute,
(5y + 3) + (4y + 8) = (146)
Simplify,
9y + 11 = 146
Inverse operations,
9y + 11 = 146
-11 -11
9y = 135
/9 /9
y = 15
Now substitute this value back into the expressions to find the numerical measurement of (<BAC) and (<ABC),
<BAC = 5y + 3
5(15) + 3
78
<ABC = 4y + 8
4(15) + 8
68
The answer is 3. I hope this helps!
Answer:
20.5 and 21.5
Step-by-step explanation:
It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.
