Answer:
Original angle = 122*
Supplementary angle = 58*
Step-by-step explanation:
A supplementary angle is one of two angles that make up 180*
If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.
So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.
The formula to figure it out would look like this: x + (x + 64) = 180
x is the supplementary angle
x + 64 is the original angle (64 MORE than its supplementary angle)
180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.
Take the formula and do a little algebra.
x + (x + 64) = 180
Subtract 64 from both sides
x + x = 116
Combine the x's
2x = 116
Divide both side by 2
x = 58
Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.
x + 64 = 122
Check our work:
x + (x + 64) = 180
58 + 58 + 64 = 180
Radius of the pan = 16cm
Formula for area of circle:
Find the area of the pan:
A decimal is 3.5, or 2.4739464. a number and a little bit. basically not a whole number. :)
Answer:
The answer to your question is k = -3233
Step-by-step explanation:
Data
x₁, x₂ are the roots
Equation l x² - 8x + k = 0
Equation ll 3x₁ + 4x₂ = 29
k = ?
Process
1.- Write another equation
x₁ + x₂ = - 8
2.- Solve the system of equations by elimination
3x₁ + 4x₂ = 29 Equation l
x₁ + x₂ = -8 Equation ll
-Multiply equation ll by -3
3x₁ + 4x₂ = 29
-3x₁ - 3x₂ = 24
0 + x₂ = 53
-Find x₁
x₁ + 53 = -8
x₁ = -8 - 53
x₁ = -61
2.- Find k
(x₁)(x₂) = k
(53)(-61) = k
k = -3233
Step-by-step explanation:
I hope I got it right.....
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)
