Answer:
Step-by-step explanation:
Remark
Read the following carefully.
There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.
To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.
For this problem <BDC = <CAB = 33 degrees.
That means that ADC = 37 + 33 = 70
Solution
<ADC and CBA are opposite angles.
That means that they add to 180
From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71
<ABC + ADC = 180
m + 71 + 70 = 180 Combine
m + 141 = 180 Subtract 141 from both sides.
m+141-141= 180 - 141 Combine
m = 39
Answer: m = 39
Answer:
The total surface area of all 6 prisms is 6336 in^2.
Step-by-step explanation:
Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.
One prism:
The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);
The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,
The area of the 10 in by 26 in base is 260 in^2.
The total surface area of ONE prism is thus:
676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.
Now, because there are 6 of these prisms, multiply this last result by 6:
6(1056 in^2) = 6336 in^2.
The total surface area of all 6 prisms is 6336 in^2.
Answer:
A. 1,825 days
B. 56 days
C. 1 week
D. 1,209,600 seconds
E. 43,200 seconds
F. 2 hours
Step-by-step explanation:
A. 1 year = 365 days, then
5 years = 
days = 1,825 days.
B. 1 week = 7 days, then
8 weeks = 
days = 56 days.
C. 7 days = 1 week.
D. 1 hour = 3,600 seconds, then
336 hours = 
seconds = 1,209,600 seconds.
E 12 hours = 
seconds = 43,200 seconds.
F. 3,600 seconds = 1 hour, then
7,200 seconds = 
hours = 2 hours.
-12
Step-by-step explanation:
We know 12 divided by 4 is 3 so the same is so in the negatives
Answer:12
Step-by-step explanation: so sart by subtracting 15 and 7
15-7
this gives you 8
now add 4
8+4
this gives you 12
