Complete Question:
Triangle abc has the angle mesausres shown.
m<A = (2x)°
m<B = (5x)°
m<C = (11x)°
Which statement is true about the angles?
A. m<A = 20°
B. m<B = 60°
C. m<A and m<B are complementary
D. m<A + m<C = 120°
Answer:
A. m<A = 20°
Step-by-step explanation:
m<A + m<B + m<C = 180° (sum of interior angles of a triangle)
(substitution)
Solve for x. Add like terms.
Divide both sides by 18
Find the measure of each angle by substituting x = 10:
m<A = (2x)° = 2(10) = 20°
m<B = (5x)° = 5(10) = 50°
m<C = (11x)° = 11(10) = 110°
Therefore, the only true statement is:
A. m<A = 20°
Step-by-step explanation:
815..............…......…
The slope of f(x) is 10 and the slope of g(x) is 5; g(x) has the greater y-intercept.
To find the slope of f(x), we use the slope formula: m=(y₂-y₁)/(x₂-x₁) = (-1--11)/(0--1) = (-1+11)/(0+1) = 10/1 = 10.
To find the slope of g(x), we just look at the form it is in. It is written in slope-intercept form, y=mx+b, where m is the slope. The number in g(x) that would correspond to m is 5.
The y-intercept of f(x) is found by looking at the points. Any y-intercept will have an x-coordinate of 0; the only point like this in the table is (0, -1) so the y-intercept is -1.
For g(x), we again look at the form y=mx+b. The number that corresponds with b is the y-intercept; in this case, it is 1. 1>-1, so g(x) has the larger y-intercept.
Answer:
You can re write it as an exponential
Step-by-step explanation:
Find out how much Alex earned in 35 hours first.
1 hour = $12.50
35 hours = $12.50 x 35 = $437.50
Since ‘time and a half’ pays 1.5 times more than their usual pay, find out how much Alex earned per hour at ‘time and a half’
1 hour = 12.50 x 1.5 = $18.75
5 hours = 18.75 x 5 = $93.75
$437.50 + $93.75 = $531.25
Alex would have earned $531.25 for the week.
