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:
38 seeds will grow
Step-by-step explanation:
4/5 = 80%
80% = .8
40*0.8 = 32
sorry I don't know if I know I would surely say u
Answer:
370
Step-by-step explanation:
Isolate the numbers so that you are only dividing sections at a time.
So 25 goes in to 92 three times. so we multiply 25 by three and subtract that from 92. Put the three at the top and repeat throughout.
92-75=17
Bring the next number down and repeat.
Answer:
Jennifer - 1st
Susan - 2nd
Emily - 3rd
Janice - 4th
Maria - 5th
Step-by-step explanation:
Susan is 2nd.
Places 1, 3, 4, and 5 are left.
Janice and Jennifer both start with J. None of the other swimmers start with the same first letter. One is 1st and one is 4th.
Since Maria finished immediately after Janice, and Janice must be 1st or 4th, Janice can't be first since 2nd place is already taken. This means that Janice is 4th and Maria is 5th.
Places 1 and 3 are left.
We know Jennifer is 1st or 4th and since 4th is taken, Jennifer is first.
Place 3 is left.
Emily must be 3rd since that is the only spot left.
