Answer:
The measure of angle ACB is 96°.
Step-by-step explanation:
Given:
line s || line t
m∠ ABC = 47°
m∠ CDE = 37°
Name the points on line s as D and E shown in diagram below.
To Find:
m∠ ACB = ?
Solution:
line s || line t .................{Given}
∴ Alternate Interior Angles are equal
m∠ BAC = m∠ CDE = 37° ............{Alternate Interior Angles }
∴ m∠ BAC = 37°
Now in Δ ACB
m∠ BAC + m∠ ABC + m∠ ACB = 180° ... {Angle Sum Property of Triangle}

m∠ ACB = 180 - 84
m∠ ACB = 96°
∴ m∠ ACB = 96°
Answer:
-3
Step-by-step explanation:
The general rule can be found by noticing patterns such as the numbers get smaller by 3 from the first term 3 towards the next 0 and towards next one -3
term 1: 3
term 2 : 3 -3 = 0
term 3 : 0 -3 = -3
The general rule of 3;0;-3 is subtract 3
Since ' x ' and '-x ' are both equal to ' y ', they must be equal to each other.
x = -x
Add ' x ' to each side: 2x = 0
Divide each side by 2 : <em>x = 0</em>
whence <em> y = 0</em> .
That's the only possible solution to the system [ y = x and y = -x ] .
Answer:
b
Step-by-step explanation:
A and C do as the variable that is changing would be the exponent making it an exponential function