Answer:

Step-by-step explanation:
Standard equation of a line is y = mx + b, where m is the slope.
Given line y = - 3x + 78, slope, m₁ = -3
<em><u>To find the line perpendicular to the given line.</u></em>
The lines are perpendicular to each other if the product of their slopes = - 1
That is,

So the slope of new line is


To find the distance in one turn of the wheel you have to find the circumference of the wheel.
Circumference = pi x d
= 3.14 x 5
= 15.7 cm
therefore the rollerblade wheel will travel 15.7 cm per rotation
hope this helps! if you did not understand a step or concept please let me know!
Answer:
127 degrees
Step-by-step explanation:
540 degrees is what the interior of a pentagon should add up to. So you do 540-156-72-98-87=127. The measure of the final interior angle is 127 degrees.
Let the two numbers be x and y.
x + y = 86
+
x - y = 12
_________
2x + 0 = 98
__________
2x = 98
x = 98/2
x = 49
From x + y = 86
49 + y = 86
y = 86 - 49
y = 37
The numbers are 49 and 37.