Answer:
x = sqrt(55)
x = 7.416198487
Step-by-step explanation:
We can use the Pythagorean theorem
The base is 3 (1/2 of 6). The other leg is x and the hypotenuse is 8
a^2 + b^2 = c^2
3^2 + x^2 = 8^2
9 + x^2 = 64
Subtract 9 from each side
9-9 +x^2 = 64-9
x^2 = 56
Take the square root of each side
sqrt(x^2) = sqrt(55)
x = sqrt(55)
x = 7.416198487
“if it is a regular hexagon, then it has exactly 6 congruent sides.”
“it is a hexagon” being your hypothesis (p)
“it has exactly 6 congruent sides” being your conclusion (q).
hope this helps :)
Answer:
16 blueberries and 4 strawberries
Step-by-step explanation:
Given:
A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.
The ratio blueberries to strawberries is 4 to 1
Question asked:
How many of each berry are in the bowl ?
Solution:
Ratio of blueberries and strawberries = 4 : 1
Let ratio be 
Number of blueberries in the bowl = 
Number of strawberries in the bowl = 
As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

Dividing both sides by 5

Number of strawberries in the bowl =
= 4
Number of blueberries in the bowl =
= 
Thus, there are 16 blueberries and 4 strawberries in the bowl.
ANSWER:
84; Consecutive Interior Angles Theorem
Answer:
(b) 
Step-by-step explanation:
Let E: Event of getting a 3 in the spinner.
So, the number of favorable outcomes = 11
Total number of outcomes = Number of times the outcomes is {1,2,3,4,5,6}
= {13 +10 +11+16+11} = { 61}
So, the total number of outcomes = 61

So, here 