Answer:
AC = 3.72 units
Angles:
A = 132.6°
C = 27.4°
Step-by-step explanation:
AC² = 5² + 8² - 2(5)(8)cos(20)
AC² = 13.82459034
AC = 3.718143399
3.718143399/sin20 = 8/sinA
sinA = 0.7358944647
A = 180 - 47.38285134
A = 132.6171487
3.718143399/sin20 = 5/sinC
sinC = 0.4599340405
C = 27.38285134
Hello there!
Yes, your solution is correct! A way to check it is replacing the value you found for x into x in the equation.
3(2-x) = 7 - 4x ⇒ 3(2-1) = 7 - 4(1)
And now solve 3(2-1) = 7 - 4(1).
3(1) = 7 - 4(1)
3 = 7 - 4
3 = 3
Since it is a true statement that 3 is equal to 3, it means your solution of x = 1 is correct. Good job! :)
Answer:
B) shift 3 units left and 4 units down
Emily = x
Samantha = x + 2
Lauren = x + 4
x + (x + 2) + (x + 4) = 42
x = 12
Thus:
Emily = 12
Samantha = 14
Lauren = 16
