Answer:
x=11
Step-by-step explanation:
We know that the angle is equal to 1/2 the difference of the long arc length between where the line segments touch the circle and the small arc length where the line segments touch the circle
They long distance is 360 - (86+74) = 200
The small distance is 86
4x+13 = 1/2 ( 200 - 86)
4x+13 = 1/2 (114)
4x+13 = 57
Subtract 13 from each side
4x+13-13 = 57-13
4x= 44
Divide by 4
4x/4 = 44/4
x=11
Answer for problem 1: slope = 2, y intercept = 3
Answer for problem 2: slope = 3/4, y intercept = -2
Explanation:
Both equations are in the form y = mx+b. This is known as slope intercept form. This is because we can read off the values of the slope and y intercept very quickly. We have y = 2x+3 match up with y = mx+b. The m is the slope and b is the y intercept. So m = 2 and b = 3 for this equation. A similar situation happens with the other equation as well. It might help to rewrite the second equation into y = (3/4)x + (-2).
Answer:
-1
Step-by-step explanation:
using PEDMAS(parentheses, exponents, division, multiply, addition, subtraction) to solve the problem
First, multiply (-5)(2) and 2(-3)
(-5)(2) – 2(-3) + 3
=-10-(-6)+3
=-10+6+3
add -10+6
-4+3
Add -4+3
-4+3
=-1
Therefore, (-5)(2) – 2(-3) + 3 is equal to -1
