Answer:
C. 32
Step-by-step explanation:
There are 16 lines of symmetry passing through the vertex's and another 16 passing through the mid points of the sides
Answer:
342 inches, or 28.5 feet, or 9.5 yards
Step-by-step explanation:
It is perhaps easiest to start with all the dimensions in inches.
13.5 ft = (13.5 ft)(12 in/ft) = 162 in
3.5 yd = (3.5 yd)(36 in/yd) = 126 in
Then the total of the lengths of ribbon is ...
54 in + 162 in + 126 in = 342 in
Converting to feet, we get ...
(342 in)/(12 in/ft) = 28.5 ft
And converting to yards, we get ...
(342 in)/(36 in/yd) = 9.5 yd
The total length of ribbon is 342 inches, or 28.5 feet, or 9.5 yards.
Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90
You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90
Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P
Hope this helps!
Smaller Angle: 49 degrees
Bigger Angle: 131 degrees
Note that supplementary angles add up to be 180 degrees. Knowing this and the information provided in the question, we can use the following system of equations:
x + y = 180 (showing they both add up to 180)
x + 82 = y (to show one angle is 82 more than the other)
We can use the substitution method to solve. Since the second equation ends in "= y" we can substitute the value of it into y for the first equation.
x + y = 180; x + 82 = y ==> x + (x + 82) = 180
And now, solve for x:
x + (x + 82) = 180
x + x + 82 = 180 > combine like terms
2x + 82 = 180
2x = 98
x = 49
So now we have the value for one of the angles! Remembering that the other angle is 82 degrees bigger, dd 49 + 82, which equals 131.
So, our two angle values are 131 and 49! This is correct since both angle measures add up to be 180, which also makes them supplementary!
