In the diagram below, DF = JL = a, FE = LK = b, and triangle DEF is a right triangle.
Use the drop-down menus to complete the proof that if the equation a² + b2 = c2 is true of
the side lengths in triangle JKL, then triangle JKL must be a right triangle.
a
b
c
b
Triangle DEF is a right triangle
a² +6² c²
Click the arrows to choose an answer from each menu.
To prove triangle JKL is a right triangle, we must show that Choose... is a right angle.
Since triangle DEF is given to be right triangle, the Pythagorean theorem can be applied to
determine that Choose...
We already know that a² + b2 = c in triangle JKL, SO
these two equations show that Choose...
which is enough to
prove that triangles DEF and JKL are congruent triangles. Then, triangle JKL must be a
right triangle because Choose...
hi

Answer:

1) Missing Length: 20 m

Equation: [tex]c^2=16^2+12^2[/tex]

2) Missing Length: 100√5 mm

Equation: [tex]c^2=100^2+200^2[/tex]

Step-by-step explanation:

1) We can use Pythagorean Theorem to solve this triangle and find the length of the hypotenuse.

[tex]c^2=16^2+12^2[/tex]

[tex]c^2=256+144[/tex]

[tex]c^2=400[/tex]

Luckily, 400 is a perfect square :)

[tex]c=20[/tex]

So, the length of the hypotenuse is 20 cm.

2) Again, we can use the Pythagorean Theorem to find the missing length.

[tex]c^2=100^2+200^2[/tex]

[tex]c^2=10000+40000[/tex]

[tex]c^2=50000[/tex]

[tex]c=\sqrt{50000}[/tex]

But, we can still simplify the radical.

[tex]\sqrt{50000}[/tex]

[tex]=100\sqrt{5}[/tex]

So, the length of the missing length is 100√5 cm.

Answer:

a. post-hoc analyses

Step-by-step explanation:

Post-hoc analyses refers to the analyses done after the complete study is accomplished and the conclusion is derived. After the derivation of the conclusion, the data are observed that whether or not they were specified previously. The data that is already collected is analyzed and new analysis is made out of thee data. The previous data is used for new analyze and new objective.  

In the given situation, Dr. Spruill should follow post-hoc analyses to test all the possible combinations that can be derived from the given conditions.

Answer:

C. 88 degrees fahrenheit :)

Step-by-step explanation:

Answer:

A. (I couldn't really see the last graph, but I am 89% sure that it is A)

Step-by-step explanation:

Answer:

$1489.35

General Formulas and Concepts;

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify variables

P = 1000

r = 10% = 0.1

n = 12

t = 4

Step 2: Solve for A

Answer:

1 and -2

Step-by-step explanation:

Answer:

Associative property

Step-by-step explanation:

When three or more numbers are multiplied, the answer is the same regardless of the way in which the numbers are grouped.

Answer:

3

Step-by-step explanation:

10+4x

10+12 = 22

so what number times 4 equals 12. So the answer is 3

9514 1404 393

Answer:

  711 square millimeters

Step-by-step explanation:

Assuming your B and H are the base and height of the relevant triangle, the numbers can be put into the area formula to find ...

  A = 1/2BH

  A = (1/2)(90 mm)(15.8 mm) = 711 square millimeters

Answer:

4.4 gibrayets should be it

Answer:

Yes

Step-by-step explanation:

6((3×5)-5)

6(15-5)

6(10)

60

Hope this helps!! :)

Answer:

radius=diameter/2

=9/2

=4.5 in.

diameter=radius*2

=3m*2

=6m

Step-by-step explanation:

Step-by-step explanation:

1) r=d/2

r=9in/2

r=4.5in

2) d= r×2

d=3m×2

d=6m

Answer:

Slope: 3/5

y-intercept: 7

Step-by-step explanation:

Answer:

Linear Pair Theorem

Step-by-step explanation:

Linear Pair Theorem:

If two angles form a linear pair, then they are supplementary, and the sum of their measures is 180°.

Answer:

P = -3t

Step-by-step explanation:

Since it starts at time zero, and our velocity is -3m/s, our equation for position could be modeled for time as P = -3t

Answer:

[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]

Step-by-step explanation:

we would like to figure out the derivative of the following:

[tex] \displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]

to do so, let,

[tex] \displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]

By simplifying we acquire:

[tex] \displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} } [/tex]

use law of exponent which yields:

[tex] \displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} } [/tex]

take derivative in both sides:

[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )[/tex]

use sum derivation rule which yields:

[tex] \rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]

By constant derivation we acquire:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]

use exponent rule of derivation which yields:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )[/tex]

simplify exponent:

[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )[/tex]

two negatives make positive so,

[tex] \displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3} [/tex]

by law of exponent we acquire:

[tex] \displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3} [/tex]

simplify addition:

[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]

and we are done!

Answer:

4r^2

Step-by-step explanation:

The area of a square is the square of the side length. Since a circle with radius r is inscribed inside the square, the side length of the square is 2r. Therefore, the area of the square is (2r)^2, which is 4r^2.

Note that the area of the circle is [tex]\pi r^2[/tex].

Answer:

4 ft

Step-by-step explanation:

[tex]A=\frac{1}{2} bh[/tex]

A=10 h=5

[tex]10=\frac{1}{2} b(5)\\[/tex]

20=5b (multiply both sides by 2)

4=b (divide by 5)

Answer:

1.8 ft^2

Step-by-step explanation:

Area of circle formula is πr^2

r is 1.5/2 or 0.75

π(0.75)^2

π*0.5625

π=3.14

3.14*0.5625=1.76625

Answer rounded to nearest tenth is 1.8 ft^2

Answer:

34.3

Step-by-step explanation:

Answer:  The answer is  (34.3)

Step-by-step explanation:

Since you're rounding to the nearest tenth,  you gotta look at the hundreds place which is 8. 8 rounds up so therefore, 2 rounds up and becomes 3. Which gives you the answer (34.3)

~ Hope this helps you out, have a gr8 day/night my friend!~

Answer:

2205

Step-by-step explanation:

Brainliest please!!!

Answer:

Step-by-step explanation:

alright l like this answer too

Answer:

200 miles

Step-by-step explanation:

Answer:

i think its 0

Step-by-step explanation:

Answer:

x ≥ 15

Step-by-step explanation:

200 + 20x ≥ 500

To solve this inequality, you must first subtract 200 from 500.

500 - 200 = 300.

Lastly, divide 300 by 20.

20x = 300

300 ÷ 20 = 15

Therefore, the value of x is 15.

Answer:

x ≥ 15

Step-by-step explanation:

1. So first of all we can simplify both sides now turning this into 20x+200≥500

2. Next we go ahead and subtract 200 from both sides because that is the opposite of adding, so something like this:

20x + 200 ≥ 500

        -200   -200

This equals to:

20x ≥ 300

Now so x can be cancled we will need to divide by 20 because that is the opposite of multiplying(When it shows the x next to a number like this 20x it means that they are multiplyin):

20x  ≥  300

20        20

Now we cance out the left side(x) equaling up to this:

x ≥ 15

I hope this helped you out!

The answer is B not any other mostly because you need to

subtract both equations to remove the variable.

Answer:

12 20 22

Step-by-step explanation:

Answer:

Word Problem. Hmm

The Interpretation of the first expression

Let boat top speed be x and car's top speed be y

x= 3y/5 – 2

From the question

x= 73miles per hr

73= 3y/5 - 2

3y/5 = 73+2

3y/5=75

y= 75x5/(3)

y=125miles per hr.

This is the car's top speed. Thanks