Answer & Step-by-step explanation:
This can be proven with the SAS theorem (side-angle-side)
With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:
and it creates two 90° angles:
∠∠
And because of the reflexive property of congruence:
Side-Angle-Side.
:Done
Answer:
(2,0)
Step-by-step explanation:
Take the average of the two x-coordinates: (10-6)/2 = 2
Take the average of the two y-coordinates: (4+(-4))/2 = 0
Midpoint: (2,0)
If a 12 oz bottle of shampoo lasted for 16 weeks, we have a ratio of 12:16 which can be shortened to 3:4.
Now if we have 18 oz bottle we know that it's 1/2 more than 12 oz bottle, so the ratio will be also 1/2 more. So if it was 12:16, the new ratio will be:
12 + (1/2 * 12) : 16 + (1/2 * 16)
12 + 6 : 16 + 8
18 : 24
It means that 18 oz bottle should last for 24 weeks. Of course the ratio has to stay the same in its lowest form in both situations and as 18:24 can be shortened to 3:4, it proves it's correct :)
The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
<h2>Given</h2>
Number of voters who support ballot initiative = 30 % = 0.30
Number of voters who does not support this initiative = 1 - 0.30 = 0.70
Number of voters selected for Surveying = 5
<h3>What is probability?</h3>
The probability of success and failure remain the same throughout the trials.
The probability that exactly 2 voters will be in favor of the ballot initiative is given by;
If P denotes Success and Q denotes failure;
Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.
To know more about Probability click the link given below.
brainly.com/question/20344726
Length=5 (each side)
width=5 (each side)