Let AB extended intersect DC extended at point E
<span>We now have right triangle BEC with E = 90 degrees </span>
<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>
<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
Answer + Explanation:
let x be the measure of angle x
let y be the measure of angle y
Now, solve:
plug x = 24 + y into x + y = 180
24 + y + y = 180
24 + 2y = 180
2y = 156
y = 78
Now, plug this back into the equation x = 24 + 78
x = 102
1. Over a period of 6 years (from 1980 to 1986) the house gained a value of 12000 dollars (109k-97k). 12000/6 gives you a rate of 2000 dollars per year. Because the initial price at t=0 is 97000, the function is 97000+2000t
Answer: The required number of boys in the class is 18.
Step-by-step explanation: Given that in math class, the girl to boy ratio is 8 to 6 and there are 24 girls in the class.
We are to find the number of boys in the class.
Let 8x and 6x represents the number of girls and boys in the class.
Then, according to the given information, we have
Therefore, the number of boys in the class is given by
Thus, the required number of boys in the class is 18.
You want to multiply 40 hours by the regular hourly pay which would be $9.14,
9.14*40= 365.6
Overtime is generally 1.5 times regular pay so take 9.14*1.5= 13.71 and this would be your overtime hourly rate
Regular hourly rate (1x) : $9.14
Overtime hourly rate (1.5x): $13.71
Take your 8 hours of OT and multiply it by 13.71
13.71*8= 109.68
Add 365.6 and 109.68 to get a final answer of 475.28. The answer would've been C
