QS is an angle bisector, what is the value of x?

QS Is An Angle Bisector, What Is The Value Of X?

Answers

Answer 1

Answer:

The value of x is 16

Step-by-step explanation:

The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle

In Δ QPR

∵ QS is the angle bisector

∵ PR is the opposite side

→ By using the rule above

∴ [tex]\frac{PS}{PQ}[/tex] = [tex]\frac{SR}{RQ}[/tex]

PS = x and PQ = 30

∵ PR = 40

∵ RS = PR - PS

∴ RS = 40 - x

RS = 40 - x and RQ = 45

→ Substitute them in the rule above

∴ [tex]\frac{x}{30}[/tex] = [tex]\frac{40-x}{45}[/tex]

→ By using the cross multiplication

x × 45 = 30 × (40 - x)

∴ 45x = 30(40) - 30(x)

∴ 45x = 1200 - 30x

→ Add 30x to both sides

∵ 45x + 30x = 1200 - 30x + 30x

∴ 75x = 1200

→ Divide both sides by 75

x = 16

The value of x is 16

Answer 2

Answer:17

Step-by-step explanation:trust me bro


Related Questions

Kate walks 5 miles in 2 hours at a steady pace. how far can she walk in 1 hour and 15 minutes? If answered, you get the brain crown thing

Answers

Answer:

2.8125 mile

Step-by-step explanation:

hope its right

drake gathers half of the money he had saved up plus the $50 his father gave him to buy a new scooter that costs $125. Write an equation to help you determine the amount of money drake has saved up.

Answers

Answer:

let x = amount of money saved up

x/2 + 50 = 125

Step-by-step explanation:

The price of a video game is $55.00. The Gamer Stop is offering a 50% discount on the
video game. What is the sale price of the game?

PLEASE HELP!!!! It would be greatly appreciated

Answers

Answer:

$27.50

Step-by-step explanation:

55*50%

=55*1/2

=55/2

=27.5

Answer:

27.5

Step-by-step explanation:

50 divided into 2 is 20.50

5 divided by 2 is 2.50

Factor the expression using the GCF (Greatest Common Factor)

12x + 36

Answers

Answer:

12 ( x+3)

Step-by-step explanation:

We can factor a 12 out of each term

12 *x + 12*3

12 ( x+3)

How much will a 100% affect my grade if I have 42%
please I got a 0 and it dropped my grade by half and if I have an F I have to go in person

Answers

Hi!

So your grade depends on how much the 2 scores are weighted.

BUT, if the 42 and 100 have equal weights of 50/50, you will have a 71% C

If the 100 isn't weighted that much, I'd guess it'd be around 75/25, your grade will be a 56% F

Try to get as many high grades or extra credits as possible!

Please mark brainliest and ask more if you need help!

Will give branliest
Given f(x)=7x+12 and Domain={3,6,9} find Range
{21,42,63}
{9,6,3}
{33,54,75}
{19,26,33}

Answers

Answer:

the answer is the 3rd option

range = { 33, 54, 75 }

I’m have trouble with this one

Answers

Answer:

y/cost=m/months/× x/cost per month+ b/ initial fee

help solve this for me i need it ASAP. please send pic in detailed info.

Answers

Answer:

yes

Step-by-step explanation:

y = 5x - 30

if this is wrong just lmk and ill fix it

hope this helps <3

Factor the expression using the GCF: (42 + 12 ) = __ ( __+ __ )

Answers

Answer:

2

Step-by-step explanation:

Answer:

6(7+2) hope this helps

Step-by-step explanation:

(42 + 12 )

= 6(7+2)

The resting heart rates for a group of men involved in a clinical trial of a new medication were recorded at the beginning of the study. The results in beats per minute were

Answers

um hi i speak no english NO NO ENGLISH SORRY PLS NO NO ENGLISH answer

help 6th grade math i will give brainliest

Answers

Answer:

1. =     (all numbers powered by zeros are 1)

2. >    (the smaller the number gets when a number powers a fraction)

3. >    (-5)^2 will equal 25 but -5^2 will equal =25

Answer:

1. =

2. >

3. <

Step-by-step explanation:

2.5^0 = 1

1.5^0 = 1

(1/3)^4 = 0.0123

(1/3)^5 = 0.0041

5^1 = 5

-5^2 = 25

hope this helps. i am in algebra two so you can trust my answer. Happy Holidays! stay safe

Tan b = 2.4 so angle b equal what

Answers

Answer:

67.4°

Step-by-step explanation:

Tan b = 2.4

From the above question we are asked to find angle b

This is calculated below

b = arc tan 2.4

b = 67.380135052°

Approximately

Angle b = 67.4°

Find the slope of the line.

Answers

Answer:

C

Step-by-step explanation:

Well You can tell right away its a positive line since its rising from left to right so the answer has to be positive

If the slope were to be 4 the line would be a Little more titleted becuasea slope of 4 is going up 4 and going tot he right 1.

ANd you can’t heck from any given point and just try all the positivw possibilties.

Or you can just use rise over run, start form a point, rise which means go up until you reach the second layer of the line and just run (go To The right) until you hit a point.

You’ll get 1/4

three fourths times two thirds .
a
five twelfths

b
six twelfths

c
five sevenths

d
six sevenths

Answers

Answer: 1/2

Step-by-step explanation: 3/4x2/3= 6/12=3/6=1/2. Hope this helps! Have a wonderful day/night! PLz mark me as brainliest!

Answer:

b) six twelfths

Step-by-step explanation:

(3/4)*(2/3) = 0.50.5 = 1/2 = 6/12 = six twelfths

Luis deposited $300 into his bank account. He now has $4,564. Enter and solve an equation to find how much was in his account before the deposit. Let a represent the variable.​

Answers

Answer:

The equation is a + $300 = $4,564 .

There was $4,264 in his account before the deposit.

Plz, Help me with this question.

Answers

It’s F=10
6(3) - 2(4) = 18 - 8= 10

Answer:

F. 10

Step-by-step explanation:

6d - 2c

6 * 3 - 2 * 4

18 - 8

10

Find the product. Write your answer as a fraction in simplest form.

-3/10 × (-8/15)=??

Answers

Answer: simplify the expression

4/15

Answer:

8/15 is already in the simplest form

Step-by-step explanation:

¿Por qué la luna no se sale de su órbita y siempre gira en torno a la tierra?

Answers

Answer:

El período de rotación de la luna no siempre era igual a su órbita alrededor del planeta. Al igual que la gravedad de la luna afecta las mareas del océano en la Tierra, la gravedad de la Tierra afecta a la luna. Pero debido a que la luna carece de un océano, la Tierra tira de su corteza, creando un maremoto en la línea que apunta hacia la Tierra.

Step-by-step explanation:

Answer:

Porque la gravidad de la tierra es mas fuerte que la gravidad the la luna.

Step-by-step explanation:

A proportional relationship has a constant rate of change.
True or False

Answers

Answer: I think it’s true

Step-by-step explanation:

What is the derivative of f(x) = 9x^2 + x?

Answers

Answer:

f'(x) = 18x + 1

Step-by-step explanation:

f(x) = 9x^2 +x

f'(x) = 9(2x) + 1

f'(x) = 18x + 1

A meat packer has 180 kilograms of ground meat. He will divide it equally into 50 packages. How much will each package weigh?

Answers

Answer:

3.6 kg

Step-by-step explanation:

A meat packer has 180 kilograms of ground meat. He will divide it equally into 50 packages. How much will each package weigh??

Since he is dividing equally, we have:

50 packages = 180 kg

1 package = x kg

Cross Multiply

x kg × 50 packages= 180kg × 1 packages

x kg = 180 kg × 1/50 packages

x kg = 3.6 kg

Hence, 1 package would weigh 3.6 kg(kilograms)

Find the radius of the circle which has the same area
as the combined area of a circle of radius 12 cm and a
circle of radius 5 cm.​

Answers

Answer:

13 cm

Step-by-step explanation:

We can get the answer in the following way:

Solve the system by substitution

Answers

Answer:

x=-3, y=-24

Step-by-step explanation:

solved by substitution

1)a bike costs $200 but is reduced by 35% in a sale.How much is the bike reduced by?What does it cost in the sale?

Answers

Answer:

The amount of discount $70

New price $130

Step-by-step explanation:

To find how much 35% of 200 is, we multiply 200 with 35 then divide it with 100

200 × 35 ÷ 100 = 70 the bike's price is reduced by 70$ and the new price

20ü - 70 = 170$

Find the y-intercept
- 74 - 7y = -7%

Answers

Answer: -75

Step-by-step explanation:

What is the discriminant of the quadratic equation
x^2– 7x-9=0

Answers

This is the answer not sure how to type it out but there’s a picture,

can u solve this easy question:)​

Answers

Answer:

2.2

Step-by-step explanation:

a = v/t

v = 120km\h = 120*1000/3600= 33.3m/s

a = 33.3/15

a = 2.2 m/s^2

A scenic overlook which extends over a ravin is shaped like a kite. I’m slow help

Answers

Answer:

B

Step-by-step explanation:

Which expression is quivalent to this one ?

Answers

Answer:

third option 11

Step-by-step explanation:

Answer:

Second option: 1

Step-by-step explanation:

input it in a calculator, and the answer was 1

Three ballet dancers are positioned on stage. Greta is straight behind Bryan and directly left of Alice. If Bryan and Greta are 12 meters apart, and Alice and Bryan are 13 meters apart, what is the distance between Greta and Alice?

Answers

Answer:

12

Step-by-step explanation:

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