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

Mae Ling earns a weekly salary of $390 plus a 8.0% commission on sales at a gift shop. How much would she make in a work week if she sold $4,300 worth of merchandise?

Answers

Answer:

She would make $734 in a work week if she sold $4,300 worth of merchandise.

Step-by-step explanation:

First, you should calculate the amount she would receive on comissions by multiplying the amount she sold for 8%:

$4,300*8%=$344

Now, you have to add the weekly salary plus the amount she receives for the comission on sales:

$390+$344=$734

According to this, the answer is that she would make $734 in a work week if she sold $4,300 worth of merchandise.

Complete the table.
Original Price
Percent of Discount
Sale Price
25%
$40
Please helppp!!

Answers

Answer-
10

Explanation-
25% x 4= 100%
And
10 x 4 = 40

An airplane flies 444 miles per hour. How far will the train travel in 3 hours?
I’m stuck help me someone

Answers

Answer:

8.8

Step-by-step explanation:

Answer:1,332

Step-by-step explanation:

James’s little brother and sister wanted to get a face paint. There were 5 kids in front, each kid takes 15 minutes to get their face painted. How many minutes do they have to wait after 3 kids?

Answers

Answer:

9 minutes

Step-by-step explanation:

As it states in the question it takes 15 minutes to paint 5 kids so you do 15/5=3

So it takes 3 minutes to paint each kid.

In the problem it asks how long does it take to paint three kids.

So now we do 3 minutes*3 kids=9 minutes

So it takes 9 minutes to paint three kids

Hope this helps,

Please give me brainliest if you think my answer is correct.

What is the value of the expression below when x=8 and y=3? 8x-9y

Answers

Answer:

8(8)-9(3)

64-27= 37

Step-by-step explanation:

37
8(8)-9(3)
64-27=27

Teresa purchased a prepaid phone card for $30. Long distance calls cost 22 cents a minute using this card. Teresa used her card only once to make a long
distance call. If the remaining credit on her card is $22.74, how many minutes did her call last?

Answers

the answer is 33 minutes

Answer:

33 minutes

Step-by-step explanation:

first find how much money she spent

30 - 22.74 = $7.26 spent

divide that by 0.22

7.26 / 0.22 = 33 minutes

hope this helps <3

a $320 dollar suit is marked down by 30% find the sales price

Answers

Answer:

224

Step-by-step explanation:

HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12 - B

13 - No

14 - for every 2 feet of rope he pays about $1.50

hope this helps

Step-by-step explanation:

12 b 13 no so there you go

Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points. ​

Answers

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

There are a lot of programs that provide tutors for all subjects.

One way to get a tutor is to simply look up “Tutors near me” and there should be a good amount of people looking to help depending where you live.

Another way is to go through your school and ask if they could set you up with one. Whether it’s college, junior high, high school, they can set you up with a high level professor and / or high school student who’s qualified. This is how i got my tutor for mathematics in high school :)

One other way i know of is to go through a teacher, friend, or family member to see if there is anyone they know who’d be happy to help.

Here are 5 lines on a coordinate grid:
Write equations for lines:

Answers

Answer:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

For the particular case of horizontal lines, those will be of the form:

y = constant.

The vertical lines will be of the form:

x = constant.

Let's start with line a, this is a vertical line, then will be:

x = constant.

To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:

x = -4

For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.

Now for the horizontal lines:

Line c will be of the form:

y = constant

To find the value of the constant you need to see in which point the line intersects the y-axis.

In this case the line intersects the axis at y = 4.

Then this line can be written as: y = 4

For line d, we can see that it intersects the y-axis at -2, then this line will be written as:

y = -2.

For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.

(0 , 1) and (4, -2)

Then the slope will be:

a = (-2 - 1)/(4 - 0) = -3/4

y = -(3/4)*x + b

To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.

1 = -(3/4)*0 + b

1 = b

Then the equation for line e is:

y = -(3/4)*x + 1.

can you please help me
Step by step as well for brainliest

Answers

Answer:

Step-by-step explanation:

42:7=ED:24

cross multiply 42 into 24.

Then divide by 7

you will get ED

Then use pythageorous theorem.

Ed square + 42 square=Ef square

Then do square root of Ef square

Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]

Answers

The answer is x = -2

Please, can someone help me?

Answers

Step-by-step explanation:

4. not enough information

5.SAS

.we have PE congruent to ER

.angle PEF congruent to angle FER

.and EF that is common for both of triangles

6.SSS

.MO congruent to KL

.MK congruent to OL

.KO that is common for both of triangles.

Help!!!! I need the answer please

Answers

x intercepts: (3/2 , 0)
y intercepts: (0 , -2)
The x-intercept is (1.5, 0) and the y-intercept is (0, -2).
If you don’t already have desmos, the app is really useful! Just put in the equation, and it will graph it for you and show you the intercepts :) That’s how I found the answer to this.

Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 in your explanation

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

- ___0.5

________

___ 5.82

________

what is the answer?​

Answers

Answer:

x = 5

Step-by-step explanation:

Step-by-step explanation:

Since CD is the perpendicular bisector of AB, AD = DB.

Hence 6x - 2 = 2x + 18 and x = 5.

anyone else trying to study but t i k t o k is being addicting

Answers

Step-by-step explanation:

yes I am how about you, I always get stuck on my assignments

8^2+4(8-14)^2 Evaluate the experssion.

Answers

Answer:

208

Step-by-step explanation:

PEMDAS:

Parenthesis first:

8^2 + 4 (8 - 14)^2

8^2 + 4 (-6)^2

Exponents second:

8^2 + 4 (-6)^2

64 + 4 (36)

Multiply third:

64 + 4 (36)

64 + 144

Add last and solve:

64 + 144 = 208

14. A six-sided die is rolled and a fair coin is flipped.
Find the probability that the die lands on an 2 or 3 and the
coin comes up tails.

Answers

Answer:

The probability that the die will land on 2 or 3 Is a 1/6 chance the coin to land on tails is a 1/2 chance.

Hope this helps!

A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, to the nearest cent, after 11 years?

Answers

20,700x0.89^11=5744.60

Answer:

5744. 61 cents

Step-by-step explanation:

5744. 61 cents

Because:

Explanation:

after 1 year:

20700×89%=18423

after 2 years:

18423×89%=16396.47

after 3 years:

16396.47×89%=14592.8583

after 4 years:

14592.8583×89%=12987.64389

after 5 years:

12987.64389×89%=11559.00306

after 6 years:

11559.00306×89%=10287.51272

after 7 years:

10287.51272×89%=9155.886323

after 8 years:

9155.886323×89%=8148.738828

after 9 years:

8148.738828×89%=7252.377557

after 10 years:

7252.37757×89%=6454.616026

after 11 years:

6454.616026×89%=5744.608263

~5744.61 (nearest cent)

Given the parent function and a description of the transformation, write the equation of the transformed equation, f(x).

1. Cubic—compress by 1/3 ______
2. Square Root —reflected over the x axis (opens down), vertical shift down 2. ______
3. Quadratic— stretch by 5, horizontal shift left 8. ______

Answers

I think it A
Or H
Actually Z

What is the slope of a line perpendicular to the line whose equation is 2x+12y=−192. Fully reduce your answer.

Answers

Step-by-step explanation:

12y = -2x - 192

y = -1/6 x - 16

Hence the slope of the perpendicular line is 6.

Answer:

12y = -2x - 192

y = -1/6 x - 16

Step-by-step explanation:

Hope this helped have an amazing day!

O A. yis all real numbers.
O B. y> 0
C. O sys 8
D. -65 x<6

Answers

Answer:

C. 0 ≤ y ≤ 8

General Formulas and Concepts:

Algebra I

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

According to the graph, we see that the line's y-value span from 0 to 8. Since both are closed dots, they are inclusive in the range:

[0, 8] or 0 ≤ y ≤ 8


HELP, i’m not good a triangles

Answers

Answer:

B

Step-by-step explanation:

SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.

This is confusing to explain, if you have any questions post them in the comments.

what is the slope intercept form of a linear function

Answers

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games. (More Than 1 Answer)


Select ALL true statements below based on this information.
A The cost for 2 tickets is $20. The cost for 2 tickets is $20.


B The cost is $7 per ticket The cost is $7 per ticket


C For $42 you could get 6 tickets. For $42 you could get 6 tickets.


D 12 tickets would cost you $6012 tickets would cost you $60

Answers

Answer:

your answer is $42

Step-by-step explanation:

for $42 you could get 6 tickets for 42 you could get 6 tickets so your answer is letter c

Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?

Answers

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Please help me out!!!!!

Answers

Answer:

Step-by-step explanation:

7(2)³ - 2(2)² + 4(2) - 5 = 51

The answer is (D).

Scale on a floor plan is 1 inch 8 feet what actual distance is represented by a distance of 2.6 inches on the floor plan?

Answers

Answer:I’m pretty sure it’s b (20.8)

Step-by-step explanation:

HURRY PLEASE!!! Which generic rectangle would be used to factor x^2+7x+6

Answers

Answer:

Rectangle B

Step-by-step explanation:

Given the expression x^2+7x+6, to get the required rectangle we need to factorize first;

= x^2+7x+6

= x^2+6x+x+6

= x(x+6)  + 1 (x+6)

= (x+1)(x+6)

From line 2 we will see that the terms contains x², 6x, x and 6. The rectangle that contains all this terms is rectangle B. Hence option B is correct.

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