To solve a proof, you need to distinguish which is the hypothesis and which is the conclusion. The hypothesis is the starting point and the conclusion is the ending point. We go from hypothesis to conclusion. A conditional statement can be written as If A, then B. Where A is the hypothesis and B is the conclusion.
For example, take this theorem.
If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
</span>
We go from Two sides of a triangle are congruent to the angles opposite those sides are congruent.
The first statement's reason is pretty much always Given.
Statement | Reason
1. Two sides of a triangle are congruent 1. Given
.... After a bunch of steps
3. the angles opposite those sides are congruent. 3. Your postulate of definition of what reason you need to complete the last step.
Sorry if this is a little confusing.
Answer:
Q1: 12.5
Q3: 16
IQR: 3.5
Step-by-step explanation:
Mean : 14.25
Median : 13.5
Mode : 13, 12
Range: 6
Minimum :12
Maximum: 18
Count n: 8
Sum: 114
Quartiles Quartiles:
Q1 --> 12.5
Q2 --> 13.5
Q3 --> 16
Interquartile
Range IQR: 3.5
Outliers: none
When you have this type of problem, you need to combine the like-terms and isolate the variable.
3x + 122 = 22x - 11
Add 11 to both sides to get rid of it
3x + 122 + 11 = 22x - 11 + 11 (-11 + 11=0)
3x + 133 = 22x
Then you would bring the 3x to the other side, so subtract 3x from both sides
3x + 133 = 22x
-3x -3x
133 = 22x - 3x
133 = 19x
Then divide both sides by 19 to isolate x
133/19 = 19x/19
133/19 = 7, so x = 7
Hope this helps!!
98 isnt a prime, which means that it is a composite number
<u>Given</u>:
The given graph represents the cost of the Kayak's rental per hour.
The coordinates are (2,30) and (3,45)
We need to determine the unit rate of renting per hour.
<u>Unit rate of renting:</u>
The unit rate of renting can be determined using the formula,
Substituting the coordinates (2,30) and (3,45), we get;
Simplifying, we get;
Dividing, we get;
Thus, the unit rate for renting a Kayak is $15 per hour.
