Answer:
hello,
Step-by-step explanation:
a)
In an isocele triangle, base's angles have the measure:
42+2a=180
2a=180-42
a=69(°)
b)
in a triangle, an external angle has for measure the sum of the angles not adjacents.
55+b=132
b=77 (°)
c)
in a quadrilater the sum of the (interior) angles is 2*180=360 degrees.
90+90+68+c=360
c=360-90-90-68
c=112 (°)
Answer: 41 or 85
<u>Step-by-step explanation:</u>
Range is the difference between the largest number and the smallest number.
The largest number is 72. 72 - 31 = 41
The smallest number is 54. 54 + 31 = 85
Adding either ONE of those numbers will result in a range of 31.
53.67 to one decimal place is 53.7 since you round the .6 to the .7
The equation is:
[e^x] [e^(2x)] = 4
1) Applying property of multiplication of powers wiith same base =>
e ^ (x + 2x) = 4
=> e ^ (3x) = 4
2) Applying logarigth properties
3x = ln(4)
=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621
Answer: x = ln(4) / 3 ≈ 0.4621
8,000 x .80= 6,400
8,000-6,400= 1,600
1,600-1,000= 600 that is the amount of tuition she will need to pay each year.
