Answer:
ABCD is a parallelogram.
Step-by-step explanation:
A parallelogram is a quadrilateral that has two parallel and equal pairs of opposite sides.
From the given diagram,
Given: AD = BC and AD || BC, then:
i. AB = DC (both pairs of opposite sides of a parallelogram are congruent)
ii. <ADC = < BCD and < DAB = < CBA
thus, AD || BC and AB || DC (both pairs of opposite sides of a parallelogram are parallel)
iii. < BAC = < DCA (alternate angle property)
iv. Join BD, line AC and BC are the diagonals of the quadrilateral which bisect each other. The two diagonals are at a right angle to each other.
v. <ADC + < BCD + < DAB + < CBA = 
(sum of angles in a quadrilateral equals 4 right angles)
Therefore, ABCD is a parallelogram.
Answer:
b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.
Step-by-step explanation:
Given that in a study of computer use, 1000 randomly selected Canadian Internet users were asked how much time they spend using the Internet in a typical week. The mean of the sample observations was 12.9 hours.
(Right tailed test at 5% level)
Mean difference = 0.2
Std error = 
Z statistic = 1.0540
p value = 0.145941
since p >alpha we do not reject H0.
b. Do not reject H0. We do not have convincing evidence that the mean weekly time spent using the Internet by Canadians is greater than 12.7 hours.
Answer:
x = 3
Step-by-step explanation:
Using the tangent ratio in the right triangle and the exact value
tan60° = 
tan60° = 
= 
= ( multiply both sides by )
x = 3
Monthly salary of Kedar = $2000
Percentage commission on the amount of his sales = 3.75%
Amount of money for which clothing sold by Kedar = $4500
Amount of interest earned by Kedar this month = (3.75/100) * 4500
= 3.75 * 45
= 168.75 dollars
So
The total amount earned by Kedar this month = (2200 + 168.75) dollars
= 2368.75 dollars
So Kedar earned a total amount of $2368.75 this month.I hope the procedure is absolutely clear to you.
Answer:
31,000 on apex
Step-by-step explanation:
