What is the distance from QR?
Q
6n + 3
s
4n + 11
R

What Is The Distance From QR?Q6n + 3s4n + 11R

Answers

Answer 1

Answer:

The distance of QR is 54 units

Step-by-step explanation:

In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base

In ΔPQR

PQ = PR

∴ Δ PQR is an isosceles triangle

∵ P is the vertex angle

∵ QR is the base

PS ⊥ QR

→ By using the fact above

∴ PS bisects QR

S is the midpoint of QR

→ That means S divided QR into 2 equal parts QS and SR

∵ QS = SR

∵ QS = 6n + 3

∵ SR = 4n + 11

→ Equate them to find n

6n + 3 = 4n + 11

→ Subtract 4 n from both sides

∵ 6n - 4n + 3 = 4n - 4n + 11

∴ 2n + 3 = 11

→ Subtract 3 from both sides

∵ 2n + 3 - 3 = 11 - 3

∴ 2n = 8

→ Divide both sides by 2

n = 4

→ Find the length of QS by substitute x in its expression by 4

∵ QS = 6(4) + 3 = 24 + 3

QS = 27

∵ QS = SR

SR = 27

∵ QR = QS + SR

∴ QR = 27 + 27

QR = 54 units

The distance of QR is 54 units


Related Questions

plz, answer the question in the photo.

Answers

Answer:

I'm pretty sure its 1 1/8

Step-by-step explanation:

the answer is H. -11/18

sara ordered 2 eggs, a slice of bacon, and a glass of orange juice for breakfast. the sales tax for the order was $0.48. she paid for her breakfast with a $10 bill.
one egg = $1.69
slice of bacon = $1.49
glass of orange juice = $1.09
how much change should sara receive from the $10 bill?

Answers

Answer:

She should receive $3.56 from paying with a $10 bill

Step-by-step explanation:

The total cost of all her items including sales tax is

$6.44

You have to deduct this total cost from what she paid with.

$10.00 - $6.44 = $3.56

Therefore,

Sara should receive $3.56 from paying with a $10 bill.

Answer: $3.56

Step by step explanation:

1. Figure out how much the eggs cost. (1.69×2=3.38)

2. Add the price of the eggs, bacon, O.J., and sales tax together. (3.38+1.49+1.09+0.48=6.44)

3. Subtract the total ($6.44) by the amount you paid ($10). (10-6.44=3.56)

I need help please #23

Answers

The answer of question 23 is 24

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

Why do -8 and 8 have the same absolute values?

Answers

Answer:

Absolute value means the non-negative, or the positive, of it's number, since eight is already a positive number, it's absolute value remains positive eight.

But since -8 is a negative number, the absolue value will give eight it's non-negative, which is positive eight.

code.
-3x + 4y = -8
8x - y = 16
Solving systems by substitution

Answers

Answer:

The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]

We need to solve these by substitution, so we need to solve one equation for a variable and then substitute the value of that variable into the other equation. After doing this and solving for the opposite variable, we need to insert this into the original equation and solve for the initial variable.Therefore, to solve one of the equations, we will solve it to put it in slope-intercept form and solve for y. The easier equation to work with is equation two.

[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]

Now, we've solved for y. So, we can substitute this into either equation and solve for x.

[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]

Now, we substitute our value for x into one of the original equations and solve for y.

[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]

Therefore, the solution to our system of equations is:

[tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex]

what is the value of x in the triangle 50° and 55° in the bottom with x at the top 50 on the left 55 on the right

Answers

So, we know that the internal angles of a triangle add up to 180 degrees, yes?  

60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.

Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!  

Hope I helped!!  :)

Does -45 belong in natural numbers or whole numbers (giving brainliest)

Answers

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

Step-by-step explanation:

Help please!! and actually try to solve it this is a test and I wanna do good

Answers

Answer:

After doing the math, I came up with B and/or C could be the answer

I think it’s gonna be 1 1 and 2 because you need to have 2 sides that are the same.

Han earned $850 over the summer working odd jobs. He wants to put his money into a savings account for when he is ready to buy a car. His bank offers a simple interest account at 5%, how much interest will Han have earned after 2 years?

Answers

Answer:

85 in intreset and 935 totoal

Step-by-step explanation:

Answer:

A = $935.00

I = A - P = $85.00

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year.

Solving our equation:

A = 850(1 + (0.05 × 2)) = 935

A = $935.00

The total amount accrued, principal plus interest, from simple interest on a principal of $850.00 at a rate of 5% per year for 2 years is $935.00.

Answer:

85

Step-by-step explanation:

PLS HELP ME 80 - 4^2 ÷ 8

Answers

Answer:

I think it's 79

Step-by-step explanation:

.... Hi don't be mad if you get wrong

Answer:

80 - 16 ÷ 8   80 - 2= 78

Step-by-step explanation:

Rewrite 7/2+ 14/25 as a single decimal.

Answers

Answer:

4.06

Step-by-step explanation:

7/2+14/25 Change into decimals

3.5+0.56 Add together

=4.06

Are the two given triangles similar? Show your work to support your answer.
Helpppp please

Answers

Yes they’re both right angles and to get either triangle you divide or multiply by 1/2 or 2

Help me PLEASE!


2. When Deema begins her drive, she is 400 mi from home. She drives at an average rate of 50 mph until she gets

home. Draw a graph to represent this situation?

Answers

Answer:  I can give coordinates (0,400) (1,350) (2,300) (3,250) (4,200) (5,150) (6,100) (7,50) (8,0)

Step-by-step explanation:

Deema starts at 400 which is y-intercept and goes down on a slope of -50 cause we are decreasing 50 mi for every hour she drives.

Hope this helped :) !!!!!!!

The coordinates of the graph representing the given situation are listed below

 A (0 ,400)

 B ( 1 ,350 )

 C (2,300)

 D(3,250)

  E(4, 200)

  F(5, 150)

  G(6, 100)

   H(7, 50)

   I (8, 0)

The graph attached shows the nature of the graph.

Total distance traveled by Deema = 400 miles

The average speed of  Deema = 50 mph

In each 1 hour, 50 miles of distance will be covered

So by the rate of 50 miles per hour the coordinates in this situation are given as follows

Time (X axis)           Distance (Y axis)

  0                                  400

   1                                  350

   2                                 300

   3                                 250

   4                                 200

   5                                 150

   6                                 100

   7                                  50

   8                                   0

The coordinates of the graph are listed above and the nature of graph is shown in the figure attached in the solution.

The graph of this situation has a constant negative slope.  

For more information please refer to the link given below

https://brainly.com/question/12322912

What is an equation of the line that passes through the points (0, 3) and (5,−3)?

Answers

Answer:

y = -6/5x + 3

Step-by-step explanation:

y = mx + c (or b, depending on where you're from)

Slope = m = -6/5

y = -6/5x + c

You can sub (0, 3) and (5, -3) into y = -6/5x + c and they both have the same answer where c = 3

Therefore, the equation is y = -6/5x + 3

Hop this helps

Can someone help me with this

Answers

Answer:

x=125°

Step-by-step explanation:

180-(25+30)= 125°

hope it helps!

Kaylee put $240.00 in a bank account that gains 25%
interest annually.
How much interest will be accumulated in a year?
S???
If Kaylee makes no withdrawals, how much money will be
in the account after a year?
$???

Answers

Answer:

S=720

Step-by-step explanation:

25$ of 240 =60

60×12months=720

curved surface area of half cylinder​

Answers

Answer:

curved surface area of half cylinder is

Step-by-step explanation:

πr2h

Answer:

Area of half cylinder is

Step-by-step explanation:

πr2h

What is the area of rectangle CDEF?
Area= ...square units

Answers

Step-by-step explanation:

I think it's 48 square units

Susie is solving the quadratic​

Answers

Answer:

Option (D)

Step-by-step explanation:

Standard equation of a quadratic function is,

ax² + bx + c

Comparing this function with the given quadratic function,

f(x) = 2x² - 4x - 3

a = 2, b = -4 and c = -3

By using quadratic formula to get the value of x,

x = [tex]\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

  = [tex]\frac{-(-4)\pm \sqrt{(-4)^2-4(2)(-3)} }{2(2)}[/tex]

  = [tex]\frac{4\pm\sqrt{16+24}}{4}[/tex]

  = [tex]\frac{-4\pm \sqrt{40}}{4}[/tex]

  = [tex]\frac{-2\pm \sqrt{10}}{2}[/tex]

Therefore, Susie made a mistake in step IV.

Option (D) is the answer.

The graph shows the cost of buying tickets to a concert.
What is the cost of buying 10 tickets?

Answers

It doesn’t say anything post another question

please show work
Write the point-slope form of the equation of the line through the given points.
3) through: (4,5) and (0,2)

Answers

Answer:

y - 5 = 3/4 (x - 4) so A

Step-by-step explanation:

It's would be A because the original equation is Y - Y1 = m (X - X1)

Since a coordinate is (x, y) the Y1 = 5 and the X1 = 4

If you plug those in the equation, it will give you y - 5 = m(x - 4)

Now, to figure out the slope, you have to know how you get can to the points (4, 5) from (0, 2). Slope is change in y / change in x. so to get from 0 to 4 for x, you add 4, and 2 to 5 for y, you add 3. Meaning the slope is 3/4. The m in the equation is the slope, so if you plugin the slope, the equation would be

y - 5 = 3/4 (x - 4)

please help ! I just wanna gts lol

Answers

Answer:

15y + 12

Step-by-step explanation:

[tex]\frac{3}{2}[/tex] (10y + 8) = [tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8

Expand the brackets.

[tex]\frac{3}{2}[/tex] × 10y + [tex]\frac{3}{2}[/tex] × 8 = 15y + 12

I know the answer it is 5y+12

can any one help me pls I'm not good at math:(
the graph of a function is shown on the grid​

Answers

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

find the measures of 1 and 4 if 2 = 119 and = 61

Answers

Answer:

1 = 61

4 = 119

Step-by-step explanation:

Alternate angles

Answer:

1 = 61 and 4=119

Step-by-step explanation:

If 2=119 then the other side of the angle which is 1 has to equal the sum of 180-119

if you reflected 2 across the x and y axis or in other words swapped places with the angel diagonal from it, this should answer the same thing as 2 hence why 2 equals 4 equals 119

3 would equal 1 which equals 61 as they both make 180 when paired with the angle directly next to it

2x - 2y = 6 3x + 2y = 9 Solve the system of equations. A) x = 0, y = 3 B) x = 3, y = 0 C) x = 1, y = -2 D) x = -2, y = 1 E) x = 6, y = 3

Answers

Answer:

There are 2 ways to solve this system: by elimination or by graphing. I will solve it by elimination. First will solve for x.

[tex]2x - 2y = 6\\3x + 2y = 9\\\\5x = 15\\\\x = 3\\[/tex]

Now we will solve for y using what we got for x.

[tex]2(3) - 2y = 6\\\\6 - 2y = 6\\\\-2y = 0\\\\y = 0[/tex]

Solution:

A: [tex](0, 3)[/tex]

in the sequence 11, 13,15,17 the first term is and the 4th term is ?

PLS HELP

Answers

Answer:

Isnt the

Step-by-step explanation:

Isnt the first term 11

And the 4th 17 lol

a=zm+z solve for m please help!!!!!

Answers

Answer:

(a-z)/z = m

Step-by-step explanation:

a = zm+z

Subtract z from each side

a-z = mz+z-z

a-z = mz

Divide by z

(a-z) /z = mz/z

(a-z)/z = m

Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.

x+ y= 24

3.50x + 5.00y = 97.50

Solve the system of equations. How many 10 oz. boxes were sold?

6
9
12
15

Answers

9514 1404 393

Answer:

  15

Step-by-step explanation:

We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...

  3.50x +5.00(24 -x) = 97.50

  -1.50x +120 = 97.50

  22.50 = 1.50x . . . . . . . add 1.50x -97.50

  15 = x . . . . . . . . . . . . . . divide by 1.50

15 10-oz boxes were sold.

Answer:

The answer is D) 15 on edge

(have a nice day and brainiest pls)

Step-by-step explanation:

Look at the rectangle and the square
Ada says that the length of diagonal SQ is two times the length of diagonal OM.
Is Ada correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals

Answers

Answer:

NO. Ada is not correct.

Step-by-step explanation:

Using Pythagorean Theorem, find the length of the diagonal of the rectangle and the square, respectively.

✔️Diagonal of the Rectangle:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 8 in.

b = 16 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

[tex] 8^2 + 16^2 = c^2 [/tex]

[tex] 64 + 256 = c^2 [/tex]

[tex] 320 = c^2 [/tex]

Take the square root of both sides

[tex] \sqrt{320} = \sqrt{c^2} [/tex]

[tex] 17.9 = c^2 [/tex] (nearest tenth)

Length of diagonal SQ = 17.9 in

✔️Diagonal of the Rectangle:

[tex] a^2 + b^2 = c^2 [/tex]

Where,

a = 8 in.

b = 8 in.

c = hypotenuse (longest side of a right ∆)

Plug in the values into the equation

[tex] 8^2 + 8^2 = c^2 [/tex]

[tex] 64 + 64 = c^2 [/tex]

[tex] 128 = c^2 [/tex]

Take the square root of both sides

[tex] \sqrt{128} = \sqrt{c^2} [/tex]

[tex] 11.3 = c^2 [/tex] (nearest tenth)

Length of diagonal OM = 11.3 in.

SQ is not two times the length of OM.

Therefore, Ada is not correct.

Answer:

No Ada is not correct

Step-by-Step Explanation:

The length of diagonal SQ is not two times the length of diagonal OM. When you split the rectangle using the diagonal you can make a right triangle and use the Pythagorean Theorem to the rest of it. 

This would be the Rectangle:

a^2+b^2=c^2

8^2+16^2=c^2

64+256+c^2

320=c^2

√320

17.8

This would be the Square: 

a^2+b^2=c^2

8^2+8^2=c^2

64+64=c^2

128=c^2

√128

11.3

Now when I divide these answers that I came up with I get 1.7 which is not equal to 2 therefore SQ is not two times bigger than OM. 

I hope this helped :3

50 points!

Select the correct answer.

Which equation has an extraneous solution?

Answers

Answer:

C. Square root of x = -5

Step-by-step explanation:

Answer: c [tex]\sqrt{x} =-5[/tex]

Step-by-step explanation:

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