Solve for x Please help me with this
2 answers:
Answer:
x = 16, x = 17
Step-by-step explanation:
Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is
=
( cross- multiply )
20(2x - 5) = 22.5(x + 8)
40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )
17.5x - 100 = 180 ( add 100 to both sides )
17.5x = 280 ( divide both sides by 17.5 )
x = 16
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=
=
( cross- multiply )
28(5x - 4) = 54(2x + 8)
140x - 112 = 108x + 432 ( subtract 108x from both sides )
32x - 112 = 432 ( add 112 to both sides )
32x = 544 ( divide both sides by 32 )
x = 17
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Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:
Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:
Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:
Thus,
The area of the shaded sector is 69.81 sq. meters.