Triangle JKL is formed by plotting three points, as shown below. What is the length of side
JK?

Answer:

coordinates of the orthocenter = (16/5, 16/5)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(0,0), B(8,2), C(2,8).

Thus;

Slope of AC; m = (8 - 0)/(2 - 0)

m = 4

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/4

Thus, equation of BE is;

(y - 2) = -¼(x - 8)

Multiply through by 4 to get;

4y - 8 = -x + 8

x + 4y = 16

Slope of BC is; m = (8 - 2)/(2 - 8) = 6/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 0) = 1(x - 0)

y = x

Putting x for y in equation of BE, we have;

x + 4x = 16

5x = 16

x = 16/5

Since y = x in equation AD, then y = 16/5

coordinates of the orthocenter = (16/5, 16/5)

Answer:

£5083

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 2.1%/100 = 0.021 per year,

then, solving our equation

I = 4600 × 0.021 × 5 = 483

I = £ 483.00

The simple interest accumulated

on a principal of £ 4,600.00

at a rate of 2.1% per year

for 5 years is £ 483.00.

Answer:

127 feet

Step-by-step explanation:

I did this already and I got it correct

Answer:

Its either 90 or 100

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

Answer:

3

Step-by-step explanation:

1+2 = 3

Answer:

1

Step-by-step explanation:

Because the line is crossing on 1, on the y-axis.

Answer:

probably somewhere between a 75 or higher depending on if it is a important test and how many questions was on it

Step-by-step explanation:

Answer:

1171 rotations

Step-by-step explanation:

Given that:

Distance cycled = 2.5km

Diameter of bike wheel, d = 68cm = 0.68m

We obtain the Circumference of the bike wheel:

Circumference, C = πd

C = 3.14 * 0.68

C = 2.1352 m

The number of rotations Bradley's wheel will make will be :

Total distance cycled / Circumference

= (2.5 *1000)m / 2.1352m

= 2500 / 2.1352

= 1170.8505

= 1171 rotations

Answer:

false

Step-by-step explanation:

96/3=32

72/2=36

Answer:

0.53 A ball

Step-by-step explanation:

you just need to divide the price by the number of balls. ❤HOPE THIS HELPS❤

Ralph has 25% left of his Gatorade.

3 ÷ 12 = 0.25 -->  25%

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

Distance formula

[tex]d =\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]        ------------ (1)

Here

[tex](x_1, y_1) = (6, 2) \ \ \ and \ \ \ (x_2, y_2) = (5, 9)[/tex]

Substituting values in equation (1)

[tex]d =\sqrt{(5-6)^{2} + (9-2)^{2} }[/tex]

[tex]d =\sqrt{(-1)^{2} + (7)^{2} }[/tex]

[tex]d = \sqrt { 50 }[/tex]

[tex]d=7.07[/tex]

the nearest tenth is 10

Answer:

47

Step-by-step explanation:

using exterior angle property,

23+5x-1=9x+2

→20=9x-5x

→20=4x→ x=5

angle PRS= 9X +2 = 9*5 +2= 47

This question is incomplete

Complete Question

Diego is preparing brownies and cookies for a bake sale. He would like to make equal-size bags for selling all of the 48 brownies and 64 cookies that he has. What is the largest number of combination bags that Diego can make with no left over? Explain how you know this is the largest possible number of bags?

Answer:

16 bags.

Step-by-step explanation:

From the question, we have:

48 brownies and 64 cookies that he has

Hence, we solve this question using Greatest common factor method.

The first step would be to find the factors of 48 and 64. We would then pick the Greatest (largest factor) common to both.

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 64 are: 1, 2, 4, 8, 16, 32, 64

Then the greatest common factor is 16.

Therefore, the largest number of combination bags that Diego can make with no left over is 16 bags

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...

  ∠R +∠W +∠T = 180°

  85° +55° +∠T = 180°

  ∠T = 180° -140°

  ∠T = 40°

hey! the answer to your question is b because 1.37x12.741 is the answer 17.45517

Answer:

5/6 = 1/12x

Step-by-step explanation:

x represents the amount of times you can can drive to or from work with the gas in the tank

5/6 = 1/12x

- Multiply both sides of equation by 12

10 = x

Answer: I think its b

Step-by-step explanation:

Answer:

1464

Step-by-step explanation:

16*22*2=704

10*16*2=320

10*22*2=440

704+320+440 = 1464

*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*

*lilybaker49's work was used - credit goes to her

Answer: 1. 2 x^3 - 13 x + 15

              2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the number of patients that get visted 8.4 times is 1 and another 1 at 8.3 add those up and mutiply by the 3 less nurses visits you get 6

Number of nurse hours  the hospital can reduce is 6.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

Number of patients visited on average at least 8.4 times per day = 2 patients

Now for each of the 2 patients the hospital can reduce 3 nurse visits.

Thus,

Number of nurse hours the hospital can reduce = 3 x 2

⇒ Number of nurse hours the hospital can reduce = 6 hours

Thus, Number of nurse hours  the hospital can reduce is 6.

To learn more about expressions :

brainly.com/question/11568837

#SPJ2

Answer: slope is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change

Answer:

1/2

Step-by-step explanation:

You need to start at any point on the line. Then, you count up one point. Next you count over to the right as many times as you need to get to the line. Since that number will be 2, the answer becomes 1/2.

Answer:

square root 75

Step-by-step explanation:

khan

Using the normal distribution, the mean of T is of 30 seconds.

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

The mean of T is 10 seconds

A normal distribution has two parameters: Mean  and standard deviation .

The given parameters are the mean completion time of each step, μ = 10 seconds

The standard deviation, σ = 5 seconds.

For the total completion, there are 3 instances, hence ,n = 3(10)

Thus, the mean of T is of 30 seconds.

Learn more about standard normal distribution here:

https://brainly.com/question/10984889

#SPJ1

Answer:

A my dude. good luck!!!!!

Answer:

A

Step-by-step explanation:

AC = 5

DF = 15

5 x 3 = 15

BC = 3

EF = 9

3 x 3 = 9

Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:

[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex]  and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]

and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]

Answer:

C 5,5, sqrt(50)

Step-by-step explanation:

so basically a^2+b^2=c^2

and 5^2+5^2 = 50 so c is sqrt of 50

Answer:

the answer is all three of them because I just got it right on khan academy