1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hammer [34]
3 years ago
12

I need help to figure this out?can someone help me?

Mathematics
1 answer:
prisoha [69]3 years ago
8 0
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! :)
You might be interested in
Find the product: 42.6 × 15.
garri49 [273]

Answer:

The answer is 639.

Step-by-step explanation:

42.6 × 15

639

8 0
2 years ago
Read 2 more answers
Given that f(x) = 2x 1 and g(x) = −5x 2, solve for f(g(x)) when x = 3.
Nitella [24]
F(x) = 2x + 1 and g(x) = -5x + 2
f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5
f(g(3)) = -10(3) + 5 = -30 + 5 = -25
4 0
3 years ago
Consider the equation 9 – x = 5. a. Solve the equation by first adding x to both sides. b. Solve the equation by first subtracti
WITCHER [35]

Answer:

a.x=4

b.x=4

c.(b)

Step-by-step explanation:

We are given that

9-x=5

a. First we adding x on both sides we get

9-x+x=5+x

9=5+x

Now, subtract 5 on both sides we get

9-5=x

x=4

b.

We are subtracting 9 from both sides we get

9-9-x=5-9

-x=-4

x=4

We can solve equation both approach a and b

But I prefer (b) because in approach (b)

There are only 3 step in which we can get answer but in approach (a) we can get answer in 4 steps .

Hence, I prefer approach (b)

3 0
2 years ago
Solve for a. a+45=1 1/2
Artemon [7]

Answer:

a=-79/2=-391/2=-39.5

Step-by-step explanation:

a+45=11/2 subtract 45 from both sides

a=11/2-45 convert 45 to fraction 90/2

a=11-90/2 subtract 90 from 11 to get -79

7 0
2 years ago
The Mitchell family is making payments on the refrigerator, which is a cost of $984. If they pay $41 every month, how many month
Aleksandr [31]
I think you have to divide 984 and 41 which gets you 24
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of a line that is parallel to the x-axis? <br><br> a. 0<br> b. 1<br> c. undefined
    11·1 answer
  • 4. Explain and correct the error made by a student who simplified this expression.
    15·1 answer
  • What is the sum of the fractions? <br> 3/5+(-7/5)
    5·2 answers
  • If x=3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equa
    13·1 answer
  • What does y=kx mean​
    10·2 answers
  • Помогите стоянок пожалуйста
    8·1 answer
  • Which whole numbers does the square root of 104 falls in between?
    14·1 answer
  • the turnout for the game is expected to reach 80,000 fans of which 57% expected to drive. An average of three fans come in each
    9·1 answer
  • KLMN ~ PQRS ; find x<br> Pls help!!
    15·1 answer
  • Leandre scored 10 points less than 3 times the number of points that Rayanna scored. Leandre scored 11 points. How many points d
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!