Given: Right triangle ABC with altitude Line segment C D

Prove: a2 + b2 = c2

Triangle A B C is is shown. Angle A C B is a right angle. Altitude h is drawn from point C to point D on side A B to form a right angle. Line segment A D is labeled e, line segment D B is labeled f, side A B is labeled c, side B C is labeled a, and side A C is labeled b.

Complete the paragraph proof.

You can use the similar triangles formed by the altitude to write ratios for corresponding sides. Using ratios from the large and medium triangles, StartFraction c Over a EndFraction =
. This can be rewritten as
= a2. Using ratios from the large and small triangles,
= StartFraction b Over e EndFraction. This can be rewritten as b2 = ec. By substitution, a2 + b2 =
. You can then factor as a2 + b2 = c(f + e). From the large triangle, you know (f + e) =
. So, a2 + b2 = c2 by using substitution.

Answer:

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

Step-by-step explanation:

The surface are of rectangular prism = 140 ft²

Surface area of rectangular prism is given by :

A = 2(lw + lh + wh)

Using trial by error method :

6 feet by 2 feet by 3 feet

A = 2(6*2 + 6*3 + 2*3) = 72ft²

6 feet by 5 feet by 4 feet

A = 2(6*5 + 6*4 + 5*4) = 148 ft²

7 feet by 6 feet by 4 feet

A = 2(7*6 + 7*4 + 6*4) = 188ft²

8 feet by 4 feet by 3 feet

A = 2(8*4 + 8*3 + 4*3) = 136ft²

Answer:

0.563

Step-by-step explanation:

Probability is defined by the amount of desirable outcomes over the total number of outcomes. When rolling a 16 sided number cube, there are 16 different numbers you can roll, which means 16 total outcomes. There are 8 odd numbers that you can possibly roll:

1, 3, 5, 7, 9, 11, 13, 15

Now, an even prime numbers are included in the desirable outcomes too. The only even prime number is 2. Since the odd numbers and even prime numbers do not have common term, to get the total desirable outcomes, you can add the two: 8 + 1 = 9. From the basic probability formula you can say the probability is 9/16 or 0.5625. This rounds to 0.563.

If you were too lazy to calculate, you can realize that 0.563 is the only reasonable answer because it is close to 1/2 or 0.5 and half the numbers are odd and only one is even and prime which makes the amount a bit over 1/2.

Answer:

c

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

System 1

Step-by-step explanation:

Tbe elemination method of solving system of equation works on such a way that :

Given two set of equation (1) and (11) having two unknowns, the Coefficient are of one of the unknowns, either x or y is the same such that applying the addition or subtraction operation of the two equations eliminates one of the unknown variables leaving us with only one unknown variable to solve, and then using this solution to solve for the other variable.

In the question given. The variable setup for elimination is the x variable such that by using the addition operation, variable x is eliminated.

Answer:

The number 1 and 47

or 13 and 59

Answer:

16 and 62

Step-by-step explanation:

Two variables x and y. x < y.

y - x = 46

y = 46 + x

4x = y + 2

y = 46 + x in 4x = y + 2

4x + y = x + y + 46 + 2

4x + y - y = x + y - y + 46 + 2

4x = x + 48

4x - x = x - x + 48

3x = 48

3x ÷ 3 = 48 ÷ 3

x = 16

y = x + 46

y = 16 + 46

y = 62

Answer:

3

Step-by-step explanation:

HJ = 9 and IJ = 6.

HJ = HI + IJ

9 = HI + 6

HI = 9-6=3

Answer:

20x^5

Step-by-step explanation:

You have to first find the prime factors of each term in order to find the greatest common factor.

Answer:

Aiden will have $17878 more than autumn

Step-by-step explanation:

For Aiden;

Formula for continuous compounding is;

FV = Pe^(rt)

P = 98000

r = 2⅜% = 0.02375

t = 11

Thus;

FV = 98000 × e^(0.02375 × 11)

FV = 127258.1218

For Autumn;

Formula for regular compounding;

FV = PV(1 + (r/n))^(nt)

Where;

PV is present value = 98000

r is rate = 2¾% = 0.0275

n is number of times amount is compounding = quarterly = 4

t is time in years = 11

Thus;

FV = 98000 + (1 + (0.0275/4))^(4 × 11)

FV = 98001.3518

Difference in their compounded amounts after 11 years is;

127258.1218 - 98001.3518 = 29256.77 ≈ $17878

Answer:

1st term = 14

2nd term = 29

3rd term = 44

Step-by-step explanation:

1st term = 3 x (5 x 1) - 1

             = 3 x 5 - 1

             = 15 - 1 =  14

2nd term = 3 x (5 x 2) - 1

               = 3 x 10 - 1

               =30 - 1 = 29

3rd term = 3 x (5 x 3) -1

               = 3 x 15 - 1

               = 45 - 1 = 44

Answer:

[tex]hypotenuse = \sqrt{ {27}^{2} + {36}^{2} } \\ = \sqrt{2025} = 45 \\ \sin \: Q = \frac{opposite}{hypotenuse} \\ \sin \: Q = \frac{36}{45} \\ \sin \: Q = \frac{4}{5} [/tex]

Answer: controlling

Step-by-step explanation:

Controlling is the management function which helps in seeking planned results from the workers and clients in an organization. This is vital as it helps in measuring progress towards the achievement of organizational goals. It also helps in bringing deviations, and then indicate an appropriate corrective action.

Therefore, based on the information given, the function of management that Jasmine is involved in us controlling function.

Answer:

143.5

Step-by-step explanation:

its the red one

i learnt it in school

Answer:

5x-1

Step-by-step explanation:

f(x) = 3x-2

g(x) = 2x+1

(f+g) (x) = 3x-2 + 2x+1

Combine like terms

            = 5x -1

Answer:

C. 5x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = 2x + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

V = d / t

Step-by-step explanation:

La velocidad se define como la relación entre la diatancia cubierta por un cuerpo y el tiempo necesario para cubrir esa distancia.

Si el tiempo empleado se da como (t)

La distancia recorrida se da como (d)

Podemos escribir la velocidad (V) en términos de disance y tiempo como;

V = d / t

Answer:

A=4cm

ok to do this we do the formula

A=PiR^2

A=3.14*4^2

A=3.14*16

A=50.24

and the area of circle B is 4 times the area of a so

50.24*4=200.96

200.96=3.14*X^2

Since  r  is on the right side of the equation, switch the sides so it is on the left side of the equation. 3.14 ⋅ r 2 = 200.96  Divide each term by  3.14  and simplify.

r 2 = 64

r=8

CIRLCE A=50.24

CIRLCE B=8

Answer:

sorry bro school's out I only know basic stuff

Answer:

ALRIGHT BOIS WHERE DONG THIS

Difficulty: Effortless

12

9

14

17

5

15

19

6

11

10

Step-by-step explanation:

=−12

−9

=−9

kinda eazy guys you just have to copy the numbers

Answer: $1,000

Step-by-step explanation:

We are trying to find 5% of 20,000. Always remember that the "of" can be changed to a multiplication, and that "percent" means per hundred.  So you will write (5/100) x 20,000 = 0.05 x 20,000 = $1,000.00

Can you please show attachments?

Answer:

The number is 11

Step-by-step explanation:

From 32 you have to minus 10 because 10 is added for the number which we can say for example is X . from 32 when you minus 10 it is 22 . To find X it says that when 10 is added to twice the number , twice the number is 22 . 22 is twice the amount of X , so to find X we have to half 22 which is 11

Hope this helped :)

Answer:

109.2

Step-by-step explanation:

Of means multiply

52% * 210

Change to decimal form

.52 * 210

109.2

Answer:

109.2

Step-by-step explanation:

% Off means multiply

52 % × 210

10,920

Change into decimal form , we get

109.2

Answer:

x= -2, -1

Step-by-step explanation:

[tex]\frac{1+-\sqrt{1-4*1*-2} }{2}[/tex]

(1 +/- 3)/2

-2, -1

Answer:

x is 70

Step-by-step explanation:

I've tried to solve it as easy as I could. if you still need help you can ask

Answer:

x = 50°

Step-by-step explanation:

The sum of exterior angles in any polygon is 360°. X is an exterior angle, so to find x, we must form the equation x+70+90+60+90=360

We can simplify it and solve the equation as follows:

x+310=360

x=50

Answer:

[tex]\frac{6x^3+40xy^2-45x^2y+30y^3}{60}[/tex]

Step-by-step explanation:

Primero que todo reescribiremos el problema como una ecuacion:

[tex]\frac{6}{5}x^{3}-x^{3}+\frac{4}{3}xy^{2}-\frac{3}{2}x^{2} y+y^{3}[/tex]

Ahora rompemos el parentesis cambiando el signo:

[tex]\frac{3}{5}x^{3}-\frac{1}{2}x^{3}+\frac{2}{3}xy^{2}-\frac{3}{4}x^{2} y+\frac{1}{2}y^{3}[/tex]

Ahora simplificamos los terminos con variables iguales:

[tex]\frac{1}{10}x^{3}+\frac{2}{3}xy^{2}-\frac{3}{4}x^{2} y+\frac{1}{2}y^{3}[/tex]

Ahora restamos los primeros dos terminos y los ultimos dos terminos:

[tex]\frac{3x^{3}+20xy^{2}}{30}-\frac{6x^2y+4y^3}{8}[/tex]

Y realizamos la ultima suma de fracciones:

[tex]\frac{24x^3+160xy^2-180x^2y+120y^3}{240}[/tex]

Y por ultimo podemos simplificar la espresion dividiento doto por 4:

[tex]\frac{6x^3+40xy^2-45x^2y+30y^3}{60}[/tex]

Answer:

A.

Step-by-step explanation:

The formula for finding the volume of a cylinder is = Base x height.

So the base is 50.24 inches

The height is 6 inches

Making it 50.24 x 6 = 301.44 inches².