Answer:By 8(4)P.5, the slope of the line equally inclined to axes is tan(±45
o
)=±1. Hence by P+λQ=0,
5λ+3
2λ+4
=±1
⇒λ=
3
1
,−1. Putting for λ, the two lines are
x−y=0,x+y−2=0.
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If line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The line AB and BC are intersecting at point B.
Ray BD bisect the angle ABC
∠ABD = x+8 degrees
∠ABD=∠DBC = x+8
Because the ray BD bisect the ∠ABC, so ∠ABD and ∠DBC will be equal
∠ABD+∠DBC= 4x-30 degrees
Because both are vertically opposite angles
Substitute the values in the equation
x+8 + x+8 = 4x-30
2x+16 = 4x-30
2x-4x = -30-16
-2x = -46
x = 23
Hence, if line AB and BC are intersecting at point B and ray BD bisect the angle ABC, then the value of x is 23
The complete question is
Line AB and BC are intersecting at point B and ray BD bisect the angle ABC. What is the value of x?
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ln(20) + ln(5) = 2 ln(<em>x</em>)
ln(20×5) = ln(<em>x</em> ²)
ln(100) = ln(<em>x</em> ²)
100 = <em>x</em> ²
<em>x</em> = 10
Answer:
D. The ratio of the circumference to the diameter is the same for both sides
Step-by-step explanation:
dilation in a shape is either it becoming bigger or smaller, no matter what factor you dilate the shape by its ratio will still remain the same, such as when you simplify a fraction.