Answer:
12 - 4
Step-by-step explanation:
To get the range, subtract the lowest number from the highest
The highest number is 12
The lowest number is 4
Range = 12 - 4
= 8
Answer:
∠V = 33°
∠W = 90°
∠X = 57°
Step-by-step explanation:
In a right triangle, the sum of the acute angles is 90 degrees
(2x+3) + (3x+12) = 90
combine like terms
5x + 15 = 90
5x = 75
x = 15
∠V = 2x+3, x=15
2(15) + 3
30 + 3
33°
∠X = 3x+12, x=15
3(15) + 12
45 + 12
57°
Answer:

which agrees with answer C in your list of possible answers.
Step-by-step explanation:
We can use the general point-slope form of a line of slope m and going through the point
:

which in our case, given the info on the slope (2) and the point (-1, 4) becomes:

Answer:
(a) = 11 cm
Step-by-step explanation:
The formula for finding the surface area of a regular pyramid is B + (1/2*P*l), with B being the area of the base, p being the perimeter of the base, and l being the slant of the pyramid.
The area of a pentagon can be solved using the formula 1/2*a*p, with a being the apothem and p being the perimeter of the pentagon.
- B + (1/2*80*15) = 1040
- B + 600 = 1040
- 1040 - 600 = 440 (440 is the area of pentagon)
- 1/2*a*(16*5) = 440
- 40*a = 440
- 440/40 = 11
The apothem is 11 cm. Hope this helps!
5.3
or
5.4
or
5.48
Any of these is a rational number between 5.2 and 5.5.