According to the picture, you can assume that angle X is congruent to angle Y due to their triangle shape. Here is the work:
1. Set the equations equal to one another: 4x-8 = 2x
2. Move the variables to get the "x" values on one side: 2x = 8
3. Divide by 2 to get "x": x = 4
4. Plug in "x" into the Angle X equation: 4(4)-8 = angle x....16-8....8
Angle X is 8 degrees. Hope this helped :)
Answer:
The vertex form is: y = 3(x-2)^2 + 7
. The vertex is (2, 7)
Step-by-step explanation:
Write the function: y = 3x^2 - 12x + 11 in vertex form
The vertex form of a quadratic equation is:
y = m(x - a)^2 + b where (a,b) is the vertex
For y = 3x^2 - 12x + 11
Solve for m
y = 3(x^2 - 4x) + 11
Complete the Square:
y = 3(x^2 - 4x + 4) + 11 - 4
y = 3(x - 2)^2 + 7
The vertex then is (2, 7)
Answer:
Step-by-step explanation:
Plan A: 10 CDs costs $2.30, so 1 CD cost $0.23
Plan B: A package of 50 CDs cost $10.5, so 1 CD cost $1.05
0.23 < 1.05
Choose Plan A
Answer: 8
Reason: Mode means most frequently used number
Answer: 345.4
Step-by-step explanation:
SA=2πr^2+2πrh
SA=2(3.14)(5)^2+2(3.14)(5)(6)
SA=2(3.14)(25)+2(3.14)(30)
SA=2(78.5)+2(94.2)
SA=157+188.4
SA=345.4
