Let the medium angle be B degrees
the small angle be A degrees
the large angle be C degrees
Then
C = 2 B + 20 ..................X
5 B = A + C ..................Y
Sum of all angles
A + B + C = 180 .............Z
Applying Y in Z
5 B + B = 180
6 B = 180
B = 30
From X C = 2 x 30 + 20 = 60 + 20 = 80
From Y 5 x 30 = A + 80
150 = A + 80
150 - 80 = A = 70
Hence medium angle B = 30 degrees
the small angle A = 70 degrees
the large angle C = 80 degrees
Answer:
m = 25/28
Step-by-step explanation:
It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).
The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes
(4)(m - 1/7) = 3
... after multiplying every term by 14.
Let's multiply each side by 7 to eliminate the remaining fraction:
4(7m - 1) = 21, or
28m - 4 = 21, or
28m = 25.
Hence, m = 25/28.
Justify means plug answer in and verify
so distribute 8(3-7x)=24-56x
143=7+24-56x
143=31-56x
minus 31 both sides
112=-56x
divide both sides by -56
-2=x
justify
plug it back
143=7+8(3-7x)
143=7+8(3-7(-2))
143=7+8(3-(-14))
143=7+8(3+14)
143=7+8(17)
143=7+136
143=143
true
x=-2
NO is 2 times LM
2(x+1) = 4x
2x + 2 = 4x
2 = 2x
1 = x
Plug that in for 4x
4(1)
4