An angle bisector of a triangle divides the opposite side of the triangle into segments 6 and 4 in. long. The side of the triangle adjacent to the 6-in. segment is 9 in. long. How long is the third side of the triangle?

Answers

Answer 1

Answer:

6 in

Step-by-step explanation:

The angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

let the third side of the triangle be x , then

[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{4}[/tex] ( cross- multiply )

6x = 36 ( divide both sides by 6 )

x = 6

The third side of the triangle is 6 in


Related Questions

A $3,000 loan is taken out for 12% interest for 6 months. What is the amount of interest charged?
A. $36.00
B. $90.00
C. $180.00
D. $270.00

Answers

A is you answer I took the test

Answer:

$180

Step-by-step explanation:

  Simple interest → ( principal * rate of interest * time in years ) ÷ 100

Here the principal is $3,000, rate of interest is 12%, years in years will be

(6/12) = 0.5 years

Using the formula:

Interest charge →  ( 3,000 * 12  * 0.5 ) ÷ 100

                          → ( 18000 ) ÷ 100

                          → $180

I NEED HELP ASAP I NEED THIS IN 3 MINUTES I GIVE BRAINLEST

Answers

Answer:

-4

Step-by-step explanation:

(-12) - (-5) = -7

-7 + 3 = -4

Answer:

-4

Step-by-step explanation:

HOPE IT HELPED U

Which inequality correctly represents the expression? The quotient of k and 9 is less than 1. ​

Answers

9\k < 1

Hope this helped #WAP

Ashley needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 5 hours and charged her
$171 for parts. The total was $796. Write and solve an equation which can be
used to determine x, the cost of the labor per hour.
Equation:
Answer: X =

Answers

the awnser will be mother russia

Bob is throwing a party. He had 22 pints of soda. At the end of the party, there are 8 pints of soda. How many cups of soda were drank during the party?

Answers

Answer:

14 pints were drank

Step-by-step explanation:

22 pints - 8 pints =

Answer:

14 pints

Step-by-step explanation:

22 - 8 is 14 pints, now just convert the pints to cups, that would be 28 cups since 1 pint is 2 cups so 14 x 2 is 28, hope this helps

How many composite numbers are between 1 and 100?

Answers

Answer:

74 is the answer to your question.

Hope this helps!

Step-by-step explanation:

74 is the answer to your question

find the value of "x" in the following

Answers

(a) 60° (b) 125°

Step-by-step explanation:-

a)

Given are three [tex]x[/tex]'s, so,

[tex]3x = 180[/tex](As all sides of triangle add upto 180°)

[tex] = > x = \frac{180}{3} [/tex]

[tex] = > x = 60[/tex]

Hence, value of x is 60°

b)

Given two interior angles(55°,70°) & one exterior angle([tex]x[/tex]°)

[tex] = > x° = (55 + 70)°[/tex]

[tex] = > x° = 125°[/tex]

Hence, value of x is 125°

On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%

Answers

Answer:

answer is c

Step-by-step explanation:

i know

5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer
counts 34 legs on these animals. How many of each type of animal does the farmer
have? (See #7 in Notes)
t-turkey
p-Pigs

Answers

Answer:

2 pigs, 13 turkeys

Step-by-step explanation:

34=2t+4p (equation for legs)

t+p=15 (equation for total # of animals) --> t=15-p

substitution:

34=2(15-p)+4p

p=2

plug back in to other equation

t=15-(2)

t= 13

I need an explanation on how to work this out

Evaluate the expression rs + 14s when r = 6 and s = 1/4.

Answers

Answer:

5

Step-by-step explanation:

We have to substitute r and s with the values given:

Now we can make an equation with our new values:

(6×1/4)+(14×1/4)

Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)

1.5+3.5=5

HELP ILL MARK BRANLIEST
Rectangle CDEF is rotated 45° in a clockwise direction. To which angle of the image does angle D correspond?
angle C prime
angle D prime
angle C
angle D

Answers

Answer:

Angle C prime

Step-by-step explanation:

First design and sketch it:

Make a rectangle with corners C D E and F. 90 degrees each. Now rotate it 45 degrees to the left. Angle D is diagonally from Angle C.

I hope this helps! :)

the third part lol helppppppppppppppppppppppppppppppppppppppppp

Answers

answer:

n = [tex]-\frac{3}{2}[/tex]

Explanation:

→ [tex]4(n+10) = 34[/tex]

→ [tex]\frac{4(n+10)}{4} = \frac{34}{4}[/tex]

→ n + 10 = [tex]\frac{17}{2}[/tex]

→ n = [tex]\frac{17}{2} -10[/tex]

→ n = [tex]\frac{17-20}{2}[/tex]

→ n = [tex]\frac{-3}{2}[/tex]

Answer:

[tex]\sf n=\dfrac{-3}{2}[/tex]

Step-by-step explanation:

Given equation: 4(n + 10) = 34

Step 1: Expand the expression.

[tex]\sf \implies \boldsymbol{\sf 4(n + 10)} = 34[/tex]

[tex]\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34[/tex]

[tex]\sf \implies 4n + 40 = 34[/tex]

Step 2: Subtract [tex]\sf 40[/tex] from both sides and combine like terms.

[tex]\sf \implies 4n + 40 - 40 = 34 - 40[/tex]

[tex]\sf \implies 4n = -6[/tex]

Step 3: Isolate the variable ([tex]\sf n[/tex]) (simply if necessary).

[tex]\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}[/tex]

[tex]\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}[/tex]

PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!

The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters?

Answers

Answer:

14.84 is the answer

Step-by-ste14.84 is the answerp explanation:

14.84 is the answer

video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.

12x + 25y = 300

x = number of used games

y = number of new games

How many games can Jonathan buy if he spends all his money on used games?

Answers

Answer:

He can spend games at a rate of y = -0.48x + 12

Step-by-step explanation:

12x + 25y = 300

Move the 12x on the other side.

25y = -12x + 300

Divide the 25y with everything.

y = -0.48x + 12

What sentence represents this equation?

413=11−x


11 decreased by 413 is the same as a number.

413 is the same as a number decreased by 11.

413 is the same as 11 decreased by a number.

A number is the same as the difference of 11 and 413.

Answers

Answer:

option b

Step-by-step explanation:

413 is the same as a number decreased by 11 because when you say 11 is decreased by a number that means we are subtracting a number from 11 but when you say a number is decreased by 11 it means 11 is being subtracted from a certain number to give 413

I Hope this helps

What is the quotient of 36,772 and 58?

Answers

Answer:

634.

Step-by-step explanation:

Quotient meaning:

To divide 2 numbers.

Equation:

36,772 ÷ 58

Solve:

36,772 ÷ 58= 367 - 348 = 19= 197 - 174 = 23= 232 - 232= 0

Multiples:

6, 3, and 4.

Answer:

634.

Answer:

634

Step-by-step explanation:

jk, kl, and lj are all tangent to o ja = 10, and ck = 14 find the perimeter of triangle jkl

Answers

Answer:

JK, KL, and LJ are all tangent to circle O. JA = 9, AL= 10, and CK= 14. What is the perimeter of triangle JKL?

Step-by-step explanation:

two numbers are chosen at random from 1, 2 and 3. What is the probability that their sum is an odd number without repitition​

Answers

Answer:

2/3

Step-by-step explanation:

1 + 2 = 3

1+ 3 = 4

2+ 3 = 5

there are only two ways of getting an odd number

Write the equation of the given line in slope-intercept form:

Answers

Answer:

y=-3x - 1

Step-by-step explanation:

Solution to the inequality 3x<0

Answers

Answer:

the inequality form is x<0

Step-by-step explanation:

you would divide both sides by 3 And then simplify


[tex] \frac{2}{3} + \frac{1}{6} [/tex]
please can you do it for me ​

Answers

Answer: 5/6

Explanation: First, find a common denominator of 6. Multiple 2 and 3 times 2 to get 4/6. Then you just add the numerator. This gives you 5/6.

[tex] \frac{5}{6} [/tex]

(Please Help!) (Giving Good Points!)



Aviva deposited some amount of money at a 4% annual interest rate into her bank account. The money was left in the account for 18 months, and she did not make any more deposits.

If Aviva's money earned $240 interest after 18 months, how much money did she deposit into the account?

Answers

Answer:

Aviva deposited $4,000

Step-by-step explanation:

Given:

$240 is the 6% interest rate annually (1.5 years)The money was left in the account for 18 months

Solving:

We'll create an equation to find the amount of money Aviva deposited.

D = 240(50/3)

D = the amount of money she has deposited.

50/3 represents 94% of D.
Since 240 is 6% of the deposit Aviva has deposited, multiplying 50/3 by 240 will equal 100% of D.

Solve:

4,000 = 240(50/3)

The amount of money Aviva deposited is $4,000.

*This is one method to solve.

i need help with this ​

Answers

B

A+N should equal the total amount of cards 80
The national league cards +8 should equal the American League cards so A=2n+8

Convert the following fraction into decimals by changing denominator of 7/5 a multiple of 10

Answers

Answer:

1.4

Step-by-step explanation:

= 7/5 × 2/2

= 14/10

=1.4

will deposited $1550 in an account that pays 8% annually. How much would be in the account at the end of 24 months? ​

Answers

Will will have $1798 I’m the account after 24 months.

Answer:

$1798

Step-by-step explanation:

You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798

Find the slop of the line in the graph​

Answers

Answer:

2y and -3x

Step-by-step explanation:

y3-1

/

-x2-x1

On a boat tour, there are half as many children as there are adults. How many children are there? There are 30 people on the tour.

Answers

Answer:

15 children

Step-by-step explanation:

30÷2

=15

therefore there is 15 adults and 15 children

Eight times the sum of a number and 20 is less than 29

Answers

Answer:

8 • 20m - 29

Step-by-step explanation:

this might be right

8x+20-29 should be right

Help please thank you.

Answers

Step-by-step explanation:

13b. Ariel is a customer.

14a. Obeying traffic rules saves lives.

15c. Mr. Aries is a lawmaker.

what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6

Answers

I will call the short side s and the hypotenuse h.

The sine rule states that in any triangle, the length of any side divided by the sine of the opposite angle is a constant.

So for your triangle we have:

8/sin 60° = s/sin 30° = h/sin 90°

8/[(sqrt 3)/2] = s/(1/2) = h/1

16/sqrt 3 = 2s = h

So the length of the short leg s

= 8/sqrt 3 = approx. 4.619

and the length of the hypotenuse

= 16/sqrt 3 = approx. 9.238.
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