Answer:
The correct answer is : Fourth, PR = 6
Step-by-step explanation:
PR is mid segment ( median line) of the side YZ in the triangle XYZ and is equal it's half.
PR = 1/2 YZ = 1/2 · 12 = 6
PR = 6
God with you!!!
Answer:
Explanation:
fg(x) = (x+2)(3x^2 - 1)
= 3x^3 - x + 6x^2 - 2
= 3x^3 + 6x^2 - x - 2
gf(x) = (3x^2 - 1)(x + 2)
= 3x^3 + 6x^2 - x - 2
As you can see:
fg(x) = gf(x)
3x^3 + 6x^2 - x - 2 = 3x^3 + 6x^2 - x - 2
Answer:
55.5 B
Step-by-step explanation:
We have the following points of data
48, 49, 50, 51, 54, 55, 56, 58, 60, 62, 63, 63
The median is the data point in the middle (when listed in order)
If we find the middle number we'll see that it's between 55 and 56. When this is the case you find the average of the two numbers (add them and divide by 2)
(55+56)/2=55.5
Answer:
The answer is 3x-27
Step-by-step explanation:
If the angles are vertical from each other it means they are congruent. 2x+30 is 63, you plug in the x, 2(30)+30. You do that to the second one and also get 63, 3(30)-27. Therefore 3x-21 is the answer.
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:
(1) 12y + 6x = 138
(2) 5y + 11x = 100
If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x
We can now substitute this into equation (2):
5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
