0.9x = 450
x = 450/0.9
x = 500
Answer = 500
Option C. It’s where it’s decreasing over the entire interval.
<span>Part A: M = 12x. (x hours at the rate of $12/per hour)
Part B: T = 12 * 30 + 15y. ( 30 hours per week at the rate of $12 per
hour plus y hours at the rate of $15 per hour)
Part C: Let us first find out the amount earned through regular working hours and overtime hours.
Regular hours in a week is 30 at the rate of $12 per hour. It comes to 12*30 = $360
The remaining amount, 510-360 = 150, is earned through overtime. Overtime rate is $15 per hour. So the number of hours worked overtime = 150/15 = 10
Total hours worked during the week = 30 + 10 = 40.</span>
Answer:
m<GFA = 110
Step-by-step explanation:
1. ABCD - parallelogram Definition of a parallelogram
(AB ll CD) (AD ll BC)
2. m<B + m<C = 180 Consectuive angles in a
110 + m<C = 180 parallelogram are supplementary
m<C = 70
3. m<GCB = 1/2 m<C Definition of angles bisector
m<GCB = 70
4. m<B = m<D = 110 Opposite angles in a
parrallelogram are congruent
5. m<CDG = 1/2 m<D Defintion of an angle bisector
m<CDG = 55
6. m<GCB+m<CDG+m<CGD=180 Sum of anlges in a triangle (ΔCDG)
70 + 55 + m<CGD = 180
125 + m<CGD = 180
m<CGD = 55
7. m<CGD + m<DGF = 180 Linear pair, supplmentary angles
55 + m<DGF = 180
m<DGF = 125
8. m<C = m<A = 70 Opposite angles in a paralellogram
are congruent
9. m<ADG = 1/2m<D Definiton of an angle bisector
m<ADG = 55
10.m<ADG+m<DFG+m<GFA+m<A=360 Sum of angles in quadrilateral
55 + 125 + m<GFA + 70 = 360 DGFA
m<GFA + 250 = 360
m<GFA = 110
