The definition of an angle bisector is a bisector that cuts an angle into two equal halves.
So BD bisects ∠ABC, therefore ∠ABD = ∠DBC
We can set the expressions inside them equal to each other, solve for x, and substitute it into the expressions again to find the total value of the angle.
4x - 15 = 3x + 12
- 3x - 3x
______________
x - 15 = 12
+ 15 + 15
______________
x = 27
So x = 27, we can plug this back into an expression and do the same with the second one and add them, or, because we know they are equal, just multiply two once we find the value of the first one.
4(27) - 15
= 108 - 15
= 93
Multiply 93 by 2.
93 x 2 = 186
Therefore m∠ABC is 186°
Hope this helps! :)
30.
the multiplication of a decimal less than 1 and a whole number is always smaller than the whole number, because we are taking a fraction of the whole number.
31.
the product of a decimal greater than 1 and a whole number is always greater than the whole number because we are scaling the whole number.
Answer:
30!
Step-by-step explanation:
250% as much
small bottle holds 12 ounces of water
12*2=24+6=30
Since 4i is a root, that automatically means -4i is also a root (complex roots always travel in pairs)
So the factored form would look like
<span>(x+4i)(x−4i).</span>
When multiplied out this gives the polynomial
<span><span>x2</span>+<span>16.</span></span>
