Answer:
x = 36
Step-by-step explanation:
The angles 3x - y and 2x + y form a straight angle and are supplementary, so
3x - y + 2x + y = 180
5x = 180 ( divide both sides by 5 )
x = 36
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5y and 3x - y are vertical angles and congruent, hence
5y = 3x - y ( add y to both sides )
6y = 3x ← substitute x = 36
6y = 3 × 36 = 108 ( divide both sides by 6 )
y = 18
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Step-by-step explanation:
Let the numbers are 4x and 7x. According to the question if each number is increased by 20, the ratio becomes 7 : 9.
Then,
( 4x + 20 ) : ( 7x + 20 ) = 7 : 9
9( 4x + 20 ) = 7( 7x + 20 )
9( 4x ) + 9( 20 ) = 7( 7x ) + 7( 20 )
9( 20 ) - 7( 20 ) = 7( 7x ) - 9( 4x )
2( 20 ) = 49x - 36x
40 = 13 x
40 / 13 = x
Therefore, number are :–
4 x = 4( 40 / 13 ) = 160 / 13
7 x = 7( 40 / 13 ) = 280 / 13
The answer is C because it shows you
Answer:
x = 6
Step-by-step explanation:
EG = 59
EF = 8x - 14
FG = 4x + 1
to find the value of x
EF + FG = EG (same line)
8x - 14 + 4x + 1 = 59
12x -13 = 59
12x = 59 + 13
12x = 72
x = 72 ÷ 12
x = 6
You can even cross check for correct answer
EF + FG = EG
instead of x place the x's value we got
8x - 14 + 4x + 1 = 59
8 (6) - 14 + 4 (6) + 1 = 59
48 - 14 + 24 + 1 = 59
34 + 25 = 59
59 = 59
CROSS - CHECKED