Answer/Step-by-step explanation:
5. ✔️Exterior angle = angle outside the triangle = W
✔️Remote interior angle of the triangle to the exterior angle W = opposite angles to angle W which are X and Y
✔️m<X + m<Y = m<W (exterior angle theorem of a triangle)
✔️m<W + m<Z = 180° (linear pair/angles on a straight line)
6. m<6 = 115°
m<5 = 120°
✔️m<2 = 180° - m<5° (linear pair/angles on a straight line)
m<2 = 180° - 120°
m<2 = 60°
✔️m<3 = 180° - m<6° (linear pair/angles on a straight line)
m<3 = 180° - 115°
m<3 = 65°
✔️m<1 = 180° - (m<2 + m<3) (sum of triangle theorem)
m<1 = 180° - (60° + 65°)
m<1 = 55°
✔️m<4 = 180° - m<1 (linear pair/angles on a straight line)
m<4 = 180° - 55°
m<4 = 125°
Step-by-step explanation:
Let the original cost of tailored suit be $ x.
Thus, original cost of tailored suit is $ 300.
Step-by-step explanation:
a) The slope of the line joining points (18,19) and (54,72):
Slope of the line , m=
The slope line passing through these points is :
The slope of the line joining points (18,19) and (54,72) is 1.472.
b) The average rate of change in the percent of teenage out of wedlock births over this period will be equal to the slope of the line which represent change of percentage of with respect to time period.
The average rate of change in the percent of teenage out of wedlock births over this period is 1.472.
c)The equation of the line:
we have :
Slope of the line:
(year, percentage)
The equation of the line is :
5x = 2(10)
5x = 20
x = 4
7*4 = 28