Answer:
ii. 55 degrees.
Step-by-step explanation:
(ii)
Consider the quadrilateral ABCD.
Angle n = 180 - 96 = 84 degrees ( opposite angles of a cyclic quadrilateral are supplementary).
Consider triangle ABC: the 3 angles are supplementary, so
m < j = 180 - 84 - 41
= 55 degrees.
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
Answer:
the value of the home after 12 years =$275,165.60
Step-by-step explanation:
To find value of appreciation after 12 years
We apply exponential growth formula

Where a represents the initial amount (purchased amount)
a= 182,100
r = rate of interest ( appreciation percentage) = 3.5% = 0.035
x represents the time period= 12 years
Plug in all the values


y= 275165.6025027724
y=$275165.60
Answer:
The answer would be B.
Step-by-step explanation:
The X-intercept is simply the point in which the line crosses the x axis, and the point where it crosses or touches is 0, 0
1. When you estimate, it is not an exact measurement. 3ft 8 in gets rounded to 4ft and 12 ft 3 in rounds to 12ft. now find the perimeter. P=2l+2w P= 2*12 +2*4 P=32feet
2. 3ft 8in = 3 8/12 or reduced to 3 2/3 12ft 3in = 12 3/12 or reduced to 12 1/4 The fractional part is referring to a fraction of a foot.
3. The perimeter of the room is P=2l+2w or P=2(12 1/4) + 2(3 2/3) p=24 1/2 + 7 1/3 P= 31 5/6 feet
4. The estimate and the actual are very close. They are 1/6 of a foot apart.
5a. Total baseboard 31 5/6ft - 2 1/4 ft = 29 7/12 feet needed.
5b. Take the total and divide it by 8ft = 29 7/12 divided by 8= 3.7 You are not buying a fraction of a board so you would need 4 boards.