Mathematics High School

Find the missing sides using special right triangles

Answers

Answer 1

Answer:

The answers are;

m = 9, e = 9

Step-by-step explanation:

The question relates to right triangles with special properties;

The given parameters of the given right triangles are;

The measure of an interior angle of the triangle = 45°

The length of the given leg length of the triangle = (9·√2)/2

The length of the other leg length of the triangle = n

The length of the hypotenuse side = m

A right triangle with one of the measures of the interior angles equal to 45° is a special triangle that has both leg lengths of the triangle equal

Therefore;

The length of the other leg of the right triangle = n = The length of the given leg of the triangle = (9·√2)/2

∴ n = (9·√2)/2

n = (e·√f)/g

Therefore, by comparison, we have;

e = 9, f = 2, and g = 2

By Pythagoras's theorem, we have;

m = √(n² + ((9×√2)/2)² = √((9×√2)/2)² + ((9×√2)/2)²) = √(81/2 + 81/2) = √81 = 9

m = 9.

Related Questions

How do you graph g(x)=f(x)+5

Answers

Make a positive line going through (0, 5)

Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 360 miles. Approximately what is the length in centimeters of the Mississippi River on the map?
50 points to who ever answer it corectly

Answers

Answer:

15 cm on the map

Step-by-step explanation:

360/120=3

5*3=15

hope this helps :)

5. How do natural numbers differ from whole numbers?

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

find the distance between two points (-3,2) and (3,0)

Answers

Answer:

[tex]\sqrt{40}[/tex]

Step-by-step explanation:

If we draw a right triangle, it would have legs 6 and 2.

Whats is percentage of 25% to 24

Answers

Answer:

96%

hope this helps!!:)

Step-by-step explanation:

Answer:

I think the question is supposed to be What is 25% of 24? Or you are missing a component of the question

Step-by-step explanation:

You could multiply .25 times 24 to get the answer because changing 25% to a number you can use in an equation means adding a decimal place and moving two places to the left.

.25 x 24= 6

6 is 25% of 24

15% off a 95$ bicycle

Answers

80.75
hope that helps

Answer:

15% off a 95% bike is $14.25

Step-by-step explanation:

15/100 = x/95

15 x 90 = 1425

1425 ÷ 100 = 14.25

I hope this helps.

Angel and Jayden were at track practice. The track is 2/5 kilometers around.
Angel ran 1 lap in 2 minutes,
Jayden ran 3 laps in 5 minutes.
a) How many minutes does it take Angel to run
one Kilometer?
b) How many minutes does it take Jayden to run
one Kilometer?

will give brainlist!!

Answers

A.) 5 minutes
B.) 4 minutes

A fish tank containing 42 gallons of water when it began to make each day the tank last for gallons of water how many days until the tank only contains 14 gallon

Answers

7 days till the tank contains 14 gallons (if the day when it contains 42 gallons counts as day 0)

I need to know the equation of of 5 and possibly 7 and 8 below

Answers

Answer:

5. 20+0.12x=80

7. 12-3x=24

8. 6 in each box

Step-by-step explanation:

Find the value of x
12
5
X

Answers

Answer:

x = 13

Step-by-step explanation:

Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.

Set the equation:

a² + b² = c²

let:

a = 5

b = 12

c = x

Plug in the corresponding numbers (& x) to the corresponding variables:

(5)² + (12)² = (x)²

Simplify. First, solve for the power, and then add:

x² = (5²) + (12²)

x² = (5 * 5) + (12 * 12)

x² = 25 + 144

x² = 169

Next, root both sides of the equation:

√x² = √169

x = √169 = √(13 * 13) = 13

x = 13

Note the rules, and it should be easier:

30-60-90° = 1 , √3 , 2

45-45-90° = 1 , 1 , √2

Any other measurements use the equation: a² + b² = c²

Graph the line given by the equation y=2x-6.

PLS HELP QUICKLY ILL ITS TIMED

Answers

Try this X=3

God loves you

12z−6+15z=27z−5 how many solutions

Answers

3 is the answer

I did the test

Answer:

no solutions

Step-by-step explanation:

if you simplify the left side you will get 27z - 6 and the other side is 27z - 5

no value for 'z' will ever get these two expressions to equal each other because 6≠5

Please help!! Giving brainliest and extra points!! (click on photo)

Answers

Answer:

circumphrence

Step-by-step explanation:

Answer:

Area

Step-by-step explanation:

Because area covers

1.How do you know you have a direct variation in the
relationship between two quantities?

Answers

Answer:

Say you have y=2x. That is direct variation and will always pass through the origin when graphed. When x is multiplied by a number, the y value will also be changed by that number. If you add a y-intercept and change y=2x to, for example, y=2x+2, the x and the y will no longer be related by a constant ratio.

Step-by-step explanation:

Tonka weighs 100 pounds. He is loading a freight elevator with
identical 50 pound boxes. The elevator can carry no more than
2000 pounds. How many boxes can Tonka load onto the elevator?
50x + 100 = 2000
O 50x - 100 = 2000
100x + 50 = 2000
100x - 50 = 2000

Answers

Step-by-step explanation:

3(a)+1 A=2

3(2)+1

Answer:

Step-by-step explanation:

We need to input the values of "a" into the equation.

1) 3 x 2 + 1

So 3 x 2 = 6 and plus one is 7.

at a concession stand three hotdogs in for hamburgers cost $13.50 for hotdogs and three hamburgers cost $12.75 find the cost of one hotdog and find the cost of one hamburger

Answers

Price of Hotdogs you do 14.50/3= 4.50
Price of Hamburgers 12.75/3=4.25

Write 23/50 as a number compared to 100

Answers

Answer:

46 blocks would be colored.

Step-by-step explanation:

23/50 = ?/100

23/50 x 2 = 46/100

find the values of x y and z

Answers

9514 1404 393

Answer:

x = 18√2y = 18√3z = 36

Step-by-step explanation:

These "special" right triangles have side length ratios that it is useful to remember.

45°-45°-90° triangle

Sides have the ratios 1 : 1 : √2. That is, x is √2 times as long as the side length shown as 18.

x = 18√2

30°-60°-90° triangle

Shortest to longest, sides have the ratios ...

1 : √3 : 2

That is, y is √3 times the length of the side marked 18, and z is 2 times the length of the side marked 18.

y = 18√3

z = 2·18 = 36

Find the perimeter of the following shape (show all work and box your final answer):

Answers

Answer: 11x + 6y + 11

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

Work Shown:

To find the perimeter, we add up all the exterior side lengths.

im almost sure its 24 square inchs

Area of given rectangle = 24 square inches.

The correct option is C.

What is rectangle?

A rectangle is cyclic: all corners lie on a single circle. ; It is equiangular: all its corner angles are equal (each of 90 degrees).

Given,

Length of rectangle = 12 inches

Width of rectangle = 2 inches

Area of rectangle = length × width

= 12 × 2

Area of rectangle = 24 square inches.

Hence, 24 square inches is the area of rectangle.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ1

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