Find x. Side splitter theorem
1 answer:
Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
=
, that is
=
( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
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Answer:
slope =
Step-by-step explanation:
calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )
m = =
=
Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°
