Answer:
D. 60°
Step-by-step explanation:
A regular hexagon has 6 equal sides and 6 equal angles.
To rotate the Octagon onto itself, we have to rotate each of those sides to an adjacent side. This happens when the angle of turn is th of a full-circle turn.
A circle has and
A 60° rotation clockwise or counterclockwise puts each of the edges over the position where an adjacent edge was located.
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
-3x+5=-10
Subtract the 5 from both sides...
-3x = -15
Divide by -3
x = 5
For 4, it's just multiplying.
-2 4/5 in improper form is -14/5
1 4/5 in improper form is 9/5
-14/5 x 9/5 is -126/25
-126/25 can be -5.04 or -5 1/25.
Answer:
3. a (x=5)
4. -126/25
Step-by-step explanation:
3. -3x+5=-10
-3x=-10-5
-3x=-15
x=5
4. -(-2 4/5) x 1 4/5
(-14/5) x 9/5
= -126/25
Answer:
20 miles
Step-by-step explanation:
to find how many miles she travels in one hour, multiply by 2 to get 10, and then multiply it by 2 again to find 2 hours
Answer:
20 miles
Step-by-step explanation:
To find out how many miles can be ridden in 2 hours, multiply 1/2 and 5 by 4 to get both answers like so:
1/2 (4) = 2 HOURS
5 (4) = 20 MILES
Therefore, Susan can ride her bike 20 miles in 2 hours.
Answer:
First option on the list:
Step-by-step explanation:
Use the distributive property of exponents to get rid of parentheses in the algebraic expression, evaluate the powers of the numerical factors, and finally, cancel common factors in numerator and denominator to arrive at the final answer:
Answer:
5/7
Step-by-step explanation:
A common factor of 8 can be canceled from numerator and denominator.
40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7
_____
Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.
__
If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...
56 ÷ 40 = 1 r 16
40 ÷ 16 = 2 r 8
16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD
Now, your fraction is ...
(40/8) / (56/8) = 5/7
Answer:
5/7
Step-by-step explanation:
40/56 both divided by 8 and that is how to get your answer because you can not simplify further