To solve this problem, we just need to set up a simple equation. We have that angles 1 and 2 add up to equal a right angle, or 90°, and that m<2 is 35°, so we just have to do a bit of subtraction.
<1 + <2 = 90 Given
<1 + 35 = 90 Substitute 35 for <2
<1 = 55° Subtract 35 from both sides to get rid of it, since subtraction is the opposite of addition.
Therefore, m<1 = 55°.
Hope this helps!
Answer:
The period of this graph is 10
Step-by-step explanation:
The period is defined as the length of one wave of the function, in this case, the graph
This is a modulus inequality.
First part: when (6x + 2) is positive
6x + 2 < 10
6x < 10 - 2
6x < 8
x < 8/6
x < 4/3
Second part: when (6x + 2) is negative.
-(6x + 2) < 10 Divide both sides of inequality by -1 and change the sign.
(6x + 2) > -10
6x + 2 > -10
6x > -10 - 2
6x > -12 Divide both sides by 6.
x > -12/6
x > -2.
Combined solution: x < 4/3 and x > -2
-2 < x < 4/3.
Graph is a line on the number line between -2 and 4/3.
-2 and 4/3 are excluded from solution.
