In ∆FTR, which side is included between ∠R and ∠F? A:RT B:TF C:FT D:RF
2 answers:
Answer: The correct option is (D). RF.
Step-by-step explanation: We are given to select the correct side that is included between the angles ∠R and ∠F in ΔFTR.
As shown in the attached figure, we have drawn triangle FTR.
Now, the side that is included between the angles ∠R and ∠F has endpoints at the vertices R and F.
So, we call that side as the side RF.
Therefore, the required side that is included between the angles ∠R and ∠F is the side RF.
Thus, (D) is the correct option.
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Answer:
The solution to the system is the pair (9, 6)
Step-by-step explanation:
Hi!
First, let´s write the system of equations:
-y² + 6y + x -9 = 0
6y = x +27
The solutions of the system are the pairs (x, y) that satisfy both equations.
Let´s take the second equation and solve it for x:
6y = x +27
Subtract 27 from both sides of the equation
6y - 27 = x
Now, we can replace x in the first equation and solve it for y:
-y² + 6y + x -9 = 0
-y² + 6y + 6y - 27 -9 = 0
-y² + 12y - 36 = 0
Notice that -y² + 12y - 36 = -(y - 6)², then:
-(y - 6)² = 0
y - 6 = 0
y = 6
(alternatively you can solve the quadratic equation using the quadratic formula).
Now let´s find the value of x:
x = 6y -27
x = 6·6 -27
x = 9
The solution to the system is the pair (9, 6)
Please see the attached figure. The point where the curves intersect is the solution to the system.
Answer:
Step-by-step explanation:
<u>Sample Space</u>
The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter .
We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:
Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows