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! :)
Answer:
Dana needs 72 feet of ribbon to make all the bows
Step-by-step explanation:
If she needs to make all the bows, she needs a total of:
18 times 4 feet = 18 * 4 = 72 feet of ribbon
Answer:
$23.41
Step-by-step explanation:
Add the cost of each item together.
$9.95 + $13.46 = $23.41
And there may have been sales tax as well but this information was not provided so it is not needed in the answer.
Answer:
Equation of the parabola: or
Vertex form:
Intercept form:Step-by-step explanation:
