Solution
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define the converse of a statement
The converse of a statement is formed by switching the hypothesis and the conclusion.
STEP 2: break down the given statements
Hypothesis: If M is the midpoint of line segment PQ,
Conclusion: line segment PM is congruent to line segment QM
STEP 3: Switch the two statements
Hence, the answer is given as:
If line segment PM is congruent to line segment QM, then M is the midpoint of line segment PQ,
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 112 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 112 is 100%, so we can write it down as 112=100%.
4. We know, that x is 200% of the output value, so we can write it down as x=200%.
5. Now we have two simple equations:
1) 112=100%
2) x=200%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
112/x=100%/200%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 200% of 112
112/x=100/200
(112/x)*x=(100/200)*x - we multiply both sides of the equation by x
112=0.5*x - we divide both sides of the equation by (0.5) to get x
112/0.5=x
224=x
x=224
now we have:
200% of 112=224
●I tried my best I was never good with percentages my least favorite.... Please let me know if you got it wrong. If you do I'm sorry.
Answer:
80°
Step-by-step explanation:
Three angles are equal
Let the equal angle be x
3x+120=360
3x=240
x=240/3
=80
Hence the three angles are 80∘
Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let 
be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Answer:
3/2
Step-by-step explanation:
Let it be
C (5;4) , A (2;1) ; B(7;6)
Suppose that C divide the line AB in ratio m/n from point A (AC is m, CB is n)
Use the formula xc=(m*xb+n*xa)/ (m+n)
5=(m*7+2n)/(m+n)
5m+5n= 7m+2n
2m=3n
m/n=3/2
