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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Can u take its pictures and post it bcuz it might be easer to answer
<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines

in this problem we have

therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines

In this problem we have
g=HI
G=angle Beta
substitute


therefore
<u>the answer Part 2) is</u>
Law of Cosines
Answer:
y=
+ 4
Step-by-step explanation:
Pick two points: (-6,-10) and (0,4)
Then solve for m (slope): I picked (0,4)

Then put in slope intercept form:
4=
+ b
4=b
Then put in final form:
y=
+ 4
Hope this helps!
The ratio would be 3:4, or however you write ratios.
Hope this helped! :)