Step-by-step explanation:
3x+2x+10=180
5x+10=180
5x=170
x=34
so the value of x is 34
Answer:
87
Step-by-step explanation
The sum of a quadrilaterals angles (4sided shape) is 360 so
360-120-63-90 =87
Answer:
The equation of line is given by

Step-by-step explanation:
We have been given the points (–2, 2) and (0, 5) and we have to find the equation of the line.
Let us first find the slope of the line using the formula

On substituting the values, we get


Now, using the point slope form, the equation of line is given by

Therefore, the equation of line is given by

<h3>
Answer: C) 6</h3>
Explanation:
The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.
Let's start at the top at the left most corner. This point has x coordinate of x = 1.
The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.
Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).
The answer is c. because it is.