The prallelogram whose adjacent sides are equal and one vertex angle is 90 degrees is a square.
The value of angle 1 is 90 degrees as the diagonal of the square intersect at 90 degrees.
The value of y is 23.
The diagonal of the square bisect the vertex angle hence the angle of 3x is 45 degrees.
Thus, the value of x is 15 degrees.
The value of 12z is 45 degrees.
Thus, the required value of z is 3.75 degrees.
Answer:
$468
Step-by-step explanation:
Answer:
Step-by-step explanation:
point p is on line r
line r passes through point P
line r contains point P
Okay, so this is actually relatively simple:
Go up 44 units on the y-axis, where x=0, and put a point. Now, since the slope is 3x, you move 3 units up, and 1 unit right, and place a point. Do this about 3 times, continuing to make points up 3, over 1. You can also move 3 units down and 1 unit left from the point at (0,44) because by moving down, you move -3 units, and by moving left, you move -1 units. This causes the negatives to cancel out, and you keep the slope of 3.
I hope this explanation makes sense; good luck!
To solve algebraically:
Plug in any number for x, besides 0 because the y-intercept is (0,44). We will use 1 for our x.
y=44+3x
y=44+3(1)
y=44+3
y=47
And so, (1, 47) would be our point
You can use -1, as well.
y=44+3(-1)
y=44-3
y=41
(-1, 44) would be our point
