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
kondaur [170]
3 years ago
12

Find the value of x. A. 7 B. 9 C. 11 D. 12

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

x=9 i.e. option B is the answer.

Explanation:

Given that in triangle ABC, sides AB and BC are 36 and 28 units.

BD is angle bisector of angle B meeting AC at point D

Also AC = 16 cm.

We know that by angle bisector theorem,

AB/AC = BD/DC

Or x/DC = 36/28

By compendo and dividendo principle, we rewrite as

Or x/x+DC = 36/(28+36)

x/16 = 36/64

x = 36(16)/64 = 9 units.

You might be interested in
Jane will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an add
pishuonlain [190]
She will need to drive 110 miles to be the same
4 0
3 years ago
How to solve -6<-2x<14
algol13
Hey there! :) 

-6 < -2x < 14

We're trying to solve for x. To solve for x, we must isolate x.

So, let's divide everything by -2!

-6 ÷ -2 < -2x ÷ -2 < 14 ÷ -2

**Remember : when dividing by a negative number, you MUST switch the sign! So, if the sign is ">" then we switch it to "<" and the other way around **

3 > x > -7

So, our answer is : → 3 > x > -7

~Hope I helped!~
4 0
3 years ago
George is twice as old as Edward, and Edward's age exceeds Robert's age by 4 years. If the sum of the three ages is at least 56
marshall27 [118]

Answer:Robert's minimum age is 11 years.

Step-by-step explanation:

Let x represent George's age.

Let y represent Edward's age.

Let z represent Robert's age.

George is twice as old as Edward. It means that

x = 2y

Edward's age exceeds Robert's age by 4 years. It means that

z = y - 4

If the sum of the three ages is at least 56 years, it means that

x + y + z ≥ 56 - - - - - - - - - - 1

Substituting x = 2y and z = y - 4 into equation 1, it becomes

2y + y + y - 4 ≥ 56

4y - 4 ≥ 56

4y ≥ 56 + 4

y ≥ 60/4

y ≥ 15

z = y - 4 = 15 - 4

z ≥ 11

8 0
3 years ago
In a group of 60 students, 18 students take algebra i, 20 students take algebra ii, and 10 students take both subjects. how many
nadya68 [22]

Answer:

  32

Step-by-step explanation:

The number that take algebra i includes those who take both subjects, as does the number taking algebra ii. Then the number taking algebra i alone is ...

   18 -10 = 8 . . . . . take only algebra i

So the number taking any kind of algebra is ...

  20 + 8 = 28

and the number not taking either subject is ...

  60 -28 = 32 . . . not taking either subject

8 0
3 years ago
(–2) + 6 + 1 = 1 + 6 + (–2) what property is this
jeka94
(–2) + 6 + 1 = 1 + 6 + (–2) is B.Commutative Property
8 0
3 years ago
Read 2 more answers
Other questions:
  • Any one wanna help with this question
    7·2 answers
  • Molly's Milk Company wants to repaint the barrels in which the milk is stored. The workers need to know how much area they will
    13·1 answer
  • 2 2/3 divided by 1 3/5=
    12·2 answers
  • Draw graph of each equation. 2x+3y+18=0
    12·1 answer
  • Select the ordered pairs that represents a solution to the functions below. F(x)= - x^2 +5.F(x)=x^2+5.
    11·1 answer
  • PLEASE HELP ANSWER THESE QUESTIONS!
    15·1 answer
  • Use fraction strips to help you complete the number line then locate and draw a point for the fraction 1/3
    13·1 answer
  • Illustrative Example 1:
    15·1 answer
  • Please help, I will give brainliest.
    15·2 answers
  • Select the number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!