Answer: 23°, 65° and 92°
Step-by-step explanation:
a + b + c = 180 (The angles of a triangle equals to 180)
a = 4c (the largest angle is 4 times the smallest angle)
b = 4c - 27 (the final angle is 27 less than the largest angle)
c = c
Now that we have gotten the values for the variables in our equation, we plug them in:
4c + 4c - 27 + c = 180
Combine like terms:
4c + 4c + c - 27 = 180
9c - 27 = 180
9c = 180 + 27
9c = 207
Divide both side by 9
c = 23
a= 4c
a = 4 × 23
a = 92
b = 4c - 27
b = 92 - 27
b = 65
b = 65
Check:
a + b + c = 180
92 + 65 + 23 = 180
180 = 180
Answer:
c = 169
Step-by-step explanation:
We can use FOIL to determine this after factoring out the equation.
(x+13)(x+13)
F: (x*x)
O: (x*13)
I: (13*x)
L: (13*13)
x^2 + 26x + 169
Answer:
4√7
Step-by-step explanation:
5√7 + √7 - 2√7
add: 6√7 - 2√7
subtract: 4√7
the difference from 240 to 120 is 50%
