Answer:
3
Step-by-step explanation:
Remember that when we are dividing two exponents with the same base (here, it's 13), we can subtract the values of the powers:
So, here, we have 
, so we subtract 7 from 10:
Thus, 3 should go in the box.
Answer:
x = 60
Step-by-step explanation:
Vertical opposite angles are formed when two straight lines intersect each other.
Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:
∠AOD = ∠COB (Vertical opposite angles are congruent)
∠AOE = 90° (right angle)
∠DOE = x
∠COF = 30°
∠BOF = 2x
m∠AOE + m∠DOE = m∠AOD (angle addition postulate)
90 + x = ∠AOD (Substitution)
m∠COF + m∠BOF = m∠COB (Angle addition postulate)
30 + 2x = ∠COB
m∠AOD = m∠COB (vertical opposite angles)
90 + x = 30 + 2x (Substitution)
Collect like terms
90 - 30 = 2x - x
60 = x
x = 60
Since 6 lbs of apples cost $12, 1 lb will cost $2.
8 times 2 = 16
8 lbs of apples cost $16
hope this helps!!
Answer:
Area: (3+√7) x (1+2√7) = 17+7√7 = 35.52
Perimeter: 2(3+√7) + 2(1+2√7) = 8+6√7 = 23.87
Ratio of perimeters of smaller solid to larger solid = ratio of the sides of the corresponding sides of smaller solid and larger solid .
Let the perimeter of smaller solid =x and perimeter of larger solid =y. Therefore
Therefore the answer is 13/17 .
