So the first thing we need to do is set up an equation (using x to represent the number). Then, we'll solve it to get the answer.
Step 1: Translate the word problem into an equation
Word problem: The sum of nine and six-tenths and a number is thirteen and two-tenths.
Equation: + x =
Step 2: Isolate x by subtracting from each side
+ x -
=
-
Step 3: The numbers on the left cancel out, leaving x alone
x =
Step 4: Convert the answer to decimals
x = 3.6
The mean points of the team is the average points per game
Dom's claim is wrong
<h3>How to determine if Dom is right</h3>The number of players in the team is:
n = 8
The mean score per game is:
Mean = 12
The mean of a dataset is calculated as:
So, we have:
Multiply both sides by 8
When Dom's point is removed, we have:
There are 7 players left.
So, the mean point is:
The mean score is not 10.
Hence, Dom's claim is wrong
Read more about mean at:
Choose SSS, SAS, or AA to prove the triangles are similar.
A. SSS
B. SAS
C. AA
<h2><u>Answer</u> :</h2>As, all sides are given so we can use SSS to prove the triangles are similar.
So, correct option is A.
<h2><u>Explanation</u> :</h2><h3>Given : </h3>As, all three sides are given so let's check ratio of all three sides.
1.
2.
3.
As, all sides are in equal ratio.
So, by SSS
∆1 ~ ∆2
