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

Need help !!!! thanks

Answers

Answer:

same side interior, and adjacent

Step-by-step explanation:

can someone check these and tell me which ones are in the wrong column, thanks

Answers

Answer:

∠2 and ∠5 should not be Alternate exterior angles. ∠2 and ∠11 can be Alternate exterior angles if that is an option. The rest is correct. As for consecutive interior angles, you have (∠3 and ∠9), (∠4 and ∠10), (∠7 and ∠13) and (∠8 and ∠14).

Step-by-step explanation:

Alternate exterior angles are basically like the angles that are the combination of a vertically opposite angle and a corresponding angle. Since the vertical lines are not parallel, ∠2 and ∠5 cannot be Alternate exterior angles.

Consecutive interior angles are any pair of angles that are within a pair of parallel lines and add up to 180°.

Find the slope of the line. Enter your answer as
a number, fraction, or undefined. Reduce to
lowest terms where necessary.

Answers

Answer:-3/5

Step-by-step explanation:

Rise over run

help, please? Pleeeeeeeaaaaaaasssssssseeeeeee??

Answers

Answer:

Graph A passes THrough the Center making it proportional when graph B is not passing

Step-by-step explanation:

Answer:

that is y

Step-by-step explanation:

Graph A is proportional because it runs thru the origin while the other doesn't

Solve the system of linear equations by multiplying.
7x-2y=22
3x+9y=39

Answers

Answer: The answer (4,3) or x=4 and y=3

Which shows the explicit formula for the sequence below ?



-15, -6, 3, 12, 21, ...

Answers

Answer:

I think is F(N)=F(1)r

Step-by-step explanation:

cause you want to find f (8) of the geometric sequence when(1) =-4 and the common ratio is -2

Math Problem: Convert

Answers

Answer:

135°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × [tex]\frac{180}{\pi }[/tex]

Thus for [tex]\frac{3\pi }{4}[/tex]

degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex] ( cancel the π  )

            = [tex]\frac{3(180)}{4}[/tex]

            = [tex]\frac{540}{4}[/tex]

            = 135°

please answer this. thank you

Answers

Answer:  [tex](-\infty, -4][/tex]

Curved parenthesis at negative infinity

Square bracket at -4

====================================================

Work Shown:

[tex]5(x+4) \le 0 \\\\x+4 \le \frac{0}{5} \\\\x+4 \le 0 \\\\x \le 0-4 \\\\x \le -4 \\\\[/tex]

The last inequality shown above is the same as saying [tex]-\infty < x \le -4[/tex]

Converting this to interval notation leads to the final answer of [tex](-\infty , -4][/tex]

Note the use of a square bracket at -4 to include this endpoint. We can never include either infinity, so we always use a parenthesis for either infinity.

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Answers

Answer:

5) 2(4 - n) = -3n

2 × 4 - 2 × n = -3n

8 - 2n = -3n

-2n + 3n = -8

1n = -8

n = -8/1

n = -8

6) 5 - 3(2 + 2w) = -7

5 - 3 × 2 + -3 × 2w = -7

5 - 6 - 6w = -7

-1 - 6w = -7

-6w = -7 + 1

-6w = -6

w = -6/-6

w = 1

7) 5(2r + 3) - 5 = 0

5 × 2r + 5 × 3 - 5 = 0

10r + 15 - 5 = 0

10r + 10 = 0

10r = -10

r = -10/10

r = -1

8) 3 - 5(2d - 3) = 4

3 - 5 × 2d - 5 × -3 = 4

3 - 10d + 15 = 4

-10d + 15 + 3 = 4

-10d + 18 = 4

-10d = 4 - 18

-10d = -14

d = -14/-10

d = 7/5

hope this helps you!!

Is the inequality true or false when t = -3: 33/t - 2 ≥ -8

Answers

False is the answer

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

Translate X < 6 into a written statement.

Answers

Answer:

x is less than 6

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

5 is less than 6 so therefor the answer is x=5 and 6 is more.

The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which represents the perimeter, the distance around the triangle, is s + s + one-half s. What is the value of this expression if s = 8?

A triangle with 2 sides with length s.

Answers

Answer:

20 units

Step-by-step explanation:

s = 8

Perimeter = s + s + [tex]\frac{1}{2}*s[/tex]

                [tex]= 8 + 8 + \frac{1}{2}*8[/tex]

                = 8 + 8 + 4

               = 20 units

20
S=8
1/2s=4
8+8+4=20
Answer is 20

simplify the exponential expression completely. pleeeease help me!!!!! thank you so so so much!!! *will give brainliest*

Answers

Answer:

( C ) p5 / q4

Step-by-step explanation:

Write an equation of the line that passes through (-2, 3) and is parallel to the line y= 2x-4​

Answers

Answer:

A hi esta la solucion

Step-by-step explanation:

Answer:

y=2x+7

Step-by-step explanation:

Since the answer HAS to be parallel to the line y=2x-4, that means the only number that should change is the y-intercept (the last number in the equation.) y-intercept is the x-value when y=0, which basically means, if you put the line onto a graph, look for the point when the line passes through the y-axis, then look at how far up or down that point is (x-value). That will be your answer. Since the line passes through the y-axis at x=7, the answer is y=2x+7! Sorry if this is too confusing, I'm not good at teaching XD

how do you solve 2x<8

Answers

Answer: x<4

Step-by-step explanation:

Let's solve the inequality step-by-step.

2x<8

Step 1: Divide both sides by 2.

2x2<82

x<4

Answer:

x<4

Answer:

Thanks for the points loser

idk what i'm doing :(

Answers

Here is an equation for those numbers you can write this multiple ways but this is the easier form



The tables show four relationships between x and y. In which table is there a NEGATIVE rate of change?
A)ᴛᴀʙʟᴇ ᴀ
B)ᴛᴀʙʟᴇ ʙ
C)ᴛᴀʙʟᴇ ᴄ
D) ᴛᴀʙʟᴇ ᴅ

ɪ'ᴍ sᴛᴜᴄᴋ ᴏɴ ᴛʜɪs ᴏɴᴇ ᴛᴏᴏ!
ᴀɴʏᴏɴᴇ ᴋɴᴏᴡ ᴛʜɪs ᴏɴᴇ?

Answers

Answer:

C

Step-by-step explanation:

Try using a scratch piece of paper to graph the points of each table to see which one would have a negative slope. Or use the formula y1-y2/x2-x1 to find the slope and see which one is negative.

Which statement best describes parallel lines?


Parallel lines intersect at exactly one point.

Parallel lines intersect at exactly one point. ,

Parallel lines intersect infinitely many times.

Parallel lines intersect infinitely many times. ,

Parallel lines have equal slopes.

Parallel lines have equal slopes. ,

Parallel lines have negative reciprocal slopes.

Answers

Answer:

Step-by-step explanation:

Parallel lines have identical slopes and different y intercepts.

y = 3x + 2

y = 3x + 9

These lines are parallel with the same slopes (3) and different y intercepts (2 and 9)

PLEASE HELP ME ASAP!!!!!!

Answers

Answer:

b

Step-by-step explanation:

I’m doing percent equation and the question is blank % of $50 = $35 help me plzzz

Answers

70%

50 * x = 35

x= 35/50

x=0.7

x=70%

Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?

Answers

Answer:

18%

Step-by-step explanation:

Subtract $10.50 from $12.30 and you will get 1.8.

Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.

What is the remainder when
f(x) = 2x4 + x2 – 8x – 1 is divided
by x - 6?

Answers

Answer:

Step-by-step explanation:

x - 6 = 0

x = 6

f(x) = 2x⁴  + x² - 8x - 1

     =2(6)⁴+ 6² - 8*6 - 1

     = 2*1296 + 36 - 48 - 1

     = 2592 + 36 - 48 - 1

     = 2628 - 49

     = 2579

help for brainliest plsssssssssssssss

Answers

Answer:

There will be 416 students in each group.

Step-by-step explanation:

There are 1,248 students.  There are also 3 groups: radical readers, mathematicians, and super scientists.  To find the number of people in each group, divide the total students by the number groups, which would be 1,248 divided by 3.

416 students would be in each group
answer : 416

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
16 gal : 24 gal

Answers

2:3 . you divide the numbers by the greatest factor. which is 8. 24 divided by 8 is 3, 16 divided by 8 is 2. =2:3

Giving brainless! I needa past math

Answers

Answer:

A

Step-by-step explanation:

Because firstly they loose (minus) and then they have to divide this loss by 9.

Answer:

A or C

Step-by-step explanation:

If they’re both wrong then my bad

2. Find the slope of the line graphed below.

Answers

Y=9x-3 I found this doing rise over run...,not sure if it’s right been awhile since I have done this...thank you

Suppose a ice cream cone cost lies and $.80 each how many ice cream cone put the couch buy with $42?

Answers

So you want to go to your calculator type 42 divided by zero, and you should get a 52.5.

Need help on this thank you if you help

Answers

Answer:

a. 2/5

b. 1/2

c. 100/9

Step-by-step explanation:

a: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:

.12 × 100 = 12

.3 × 100 = 30

Simplify: 12/30 = 2/5

b: Multiply bottom and top by 1,000 to keep values the same and make the fraction a whole fraction:

.125 × 1,000 = 125

.25 × 1,000 = 250

Simplify: 125/250 = 1/2

c: Multiply bottom and top by 100 to keep values the same and make the fraction a whole fraction:

4 × 100 = 400

.36 × 100 = 36

Simplify: 400/36 = 100/9

Solve: 1,243 = 12
Show the remainder as a fraction.

Answers

If you meant 1243/12 then the answer is 103 and 7/1243
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