Answer:
x = 4
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the remote interior angles.
18x +5 = (46) +(-1 +8x)
10x = 40 . . . . . . . . . . . . . subtract (5+8x) from both sides, simplify
x = 4 . . . . . . divide by 10
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<em>Additional comment</em>
The exterior angle is (18)(4) +5 = 77°. The marked unknown interior angle is -1+(8)(4) = 31°. The sum of the two remote interior angles is 46°+31° = 77°. The unmarked interior angle is 180°-77° = 103°.
Fractions that have the same number on the bottom have a "common denominator."
Answer:
hello : f(h(g(x)))= (4x - 9) + 4 /(4x - 9)
Step-by-step explanation:
calculate : h(g(x))
h(g(x)) = h(x - 2) = 4 (x -2) -1 = 4x - 8 -1
h(g(x)) = 4x - 9
calculate : f(h(g(x)))
f(h(g(x))) = f (4x - 9) = (4x - 9) + 4 /(4x - 9)
When a point divide a line segment A (x1,y1) B (x2,y2) into a ration of a:b, the coordinates of that point is x1+[a/(a+b)](x2-x1), y1+[a/(a+b)](y2-y1)
so x=0+(2/3)(6-0)=4
y=4+(2/3)(8-4)=6&2/3 (mixed number 6 and 2 over 3)
(4, 6&2/3) is the answer.
