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
Valentin [98]
4 years ago
7

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
olga55 [171]4 years ago
4 0

Answer:

x=5

Step-by-step explanation:

We have been given a triangle. We are asked to find the value of x for our given triangle.

We can see that measures of both angles with red mark are equal.

The angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Using angle bisector theorem, we can set an equation as:

\frac{3x}{15}=\frac{2x-1}{9}

15(2x-1)=3x(9)

30x-15=27x

30x-27x-15=27x-27x

3x-15=0

3x-15+15=0+15

3x=15

\frac{3x}{3}=\frac{15}{3}

x=5

Therefore, the value of x is 5.

You might be interested in
A pizza place offers the following toppings: pepperoni, sausage, onions. green peppers, and mushrooms.
Harman [31]

Answer:

10

Step-by-step explanation:

You do 5C3, which is 5!/((5-3)!3!) -->

5*4*3*2*1/(2*1*3*2*1) =

10

5 0
4 years ago
What is the perimeter of a trapezoid having side-lengths 10 cm, 7 cm, 6 cm, and 7 cm? a. 15 cm c. 25 cm b. 20 cm d. 30 cm
prisoha [69]

Answer:

30

Step-by-step explanation:

6 0
3 years ago
The initial population of a town is 1,300 and it is increasing at the rate of 3% each year. Find the population at 12 years​
stepan [7]

Answer:

1300 * (1 + 0.03)^12 = 1853

7 0
3 years ago
Read 2 more answers
Give the value of the digit 8 in each number.
Anna71 [15]

Answer:

1) Hundreadth

2) Ten

3) Thousandths

4) Hundred

6 0
3 years ago
Read 2 more answers
If it is a rigid motion identify the type of transformation Help please
wel
A transformation is rigid if the original shape remains the same shape and size after the transformation.

Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.

Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.

Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.

Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.

Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.

Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.

7 0
3 years ago
Other questions:
  • What makes this statement true? 7^-2
    10·2 answers
  • I paid $7. 74 in county sales taxes. The tax rate is 3%
    10·1 answer
  • Whats a story that can be solved using the equation 18.50 ÷ 0.5=x?
    5·1 answer
  • What is the value of 9x - 4y if x = 3 and y = 2​
    15·2 answers
  • PLEASE HELP ASAP!!!!!!!!!!!!!!
    11·1 answer
  • A stock investment of 160 shares
    11·1 answer
  • How do you solve 3(1+5)
    11·2 answers
  • Suppose 123 people voted for Danny if 55 of the votes were from girls what would be the ratio of votes from girls to vote from b
    12·2 answers
  • Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 do
    5·1 answer
  • Sally needs a minivan. Express Rent-A-Car charges $45 per day plus $0.40 per mile.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!