Answer:
∠1 ≅ ∠2 congruence
m∠1 = m∠2 property of equality
m∠2 + m∠3 = 180 definition of supplementary angles
m∠1 + m∠3 = 180 Vertical Angles Theorem
∠1 and ∠3 are supplementary angles.
Find the words that fit each one
Definition of Congruence
Substitution Subtraction
Property of Equality
Definition of Supplementary
Step-by-step explanation:
After all 20 tosses of the coin, a tail was recorded 11 times. We can write this as 11/20.
To convert this into a decimal, we simply multiply the numerator and denominator by 5 so that the fraction is out of 100, giving us 55/100.
When we do the sum of 55 ÷ 100, we get the answer of 0.55.
I hope this helps!
Answer:
x=9
Step-by-step explanation:
We have been given the following proportion;
x/6 = 6/4
In order to solve for x, we simply make x the subject on the left hand side;
To do this we multiply both sides by 6,
(x/6)*6 = (6/4)*6
x = 36/4
x = 9
The value of x is thus 9
Retail price for a 24 dollar hat with a markup of 40% =
24 * .40 = 9.6
24 + 9.6 = $33.60 dollars
