Pls help me do this proof, will give brainiest

Step-by-step explanation:

A lot of times, one of the hardest parts of proving anything is figuring out exactly what you're trying to prove. Fortunately for us, we already have it laid out. We're trying to prove the Pythagorean theorem, which says that on a right triangle with legs a and b and a hypotenuse c, the sides are related by the equation

[tex]a^2+b^2=c^2[/tex]

This particular proof uses similarity, cleverly splitting the original right triangle into three - the original, and two smaller ones. One fact about similar triangles that helps us is that corresponding sides are proportional. This fact is used for the second step of the proof:

[tex]\frac{c}{b}=\frac{b}{d}[/tex] and [tex]\frac{c}{a}= \frac{a}{f}[/tex]

For our proof, we're going to try to go off of this fact to build back the Pythagorean theorem. We'll need an a², a b², and a c² for that, and we can get the first two by cross multiplying each equations, giving us two new ones:

[tex]cd=b^2[/tex] and [tex]cf=a^2[/tex].

This is Statement 3, and we go to it through Multiplication. Next, we can add the two equations together to get the left side of the Pythagorean theorem, factoring a c out of the right side to give us:

[tex]a^2+b^2=cf+cd=c(f+d)[/tex]

This is Statement 4, and we used the Addition property of equality to get it.

Now, looking at the original figure, we can see that the lengths d and f add together to give us a c. We can express that fact with the equation

[tex]d+f=c[/tex]

This is Statement 5, given to us through the Segment addition postulate. Finally, we can use our equation from statement 5 to substitute f + d for c in our equation from Statement 4, giving us the Pythagorean theorem:

[tex]a^2+b^2=c\cdot c=c^2[/tex]

This is Statement 6, our final statement, and it uses the Substitution property of equality to finish our proof.

Tayler works at a bicycle shop. When he sells a bicycle, he earns 6% of the sale price as a commission One day Tayler sold 1 bicycle for $125 and 2 bicycles for $75 cach What was the total amount o
commission he earned?
HELP......

Mrs. Gilseth said this flu
season is pretty bad. For
every 25 students, 5 are out
sick with the flu. What is the
ratio of total students to those
with the flu in simplest form?

Someone please help me I’ll give out brainliest please don't answer if you don’t know

A jar contains nickels and dimes. There are 16 coins in the jar and the total value of the coins is $1.00. Which system of equations can be used to find how many of each type of coin is in the jar?

The sum of remote interior angels equals what?​

Another company charges $8 per month and $0.03 per minute used. Which equation below best respresents the total cost for the month, c, for m miuntes used?

You have saved $2,000 to take a trip anywhere in the world. Fill in the following budget below to help you plan your dream trip. You may have to change things in your budget if you notice you’re going over $2,000. For example, you may need to reduce your trip to fewer nights. (Section 18.4) (only optional if no internet access) (2 points extra credit)

Dream Destination ______________________________ Number of Nights ___________ Expense Total budgeted for each expense for the entire trip Round-Trip Airfare Airline _______________ Cost per ticket _____________ (you can use orbitz.com, kayak.com, or expedia.com) Lodging (Circle one) Hotel or Airbnb Cost per night ____________ (you can check hotel prices on hotels.com and short-term vacation rentals on airbnb.com) Transportation (circle one) Car rental is $45 per day total Uber/taxis are $30 per day total Subway/buses are $10 per day total Food ____________ (write your best estimate) Miscellaneous (museums, concerts, tips for servers, souvenirs, etc.) __________ (write your best estimate) Total $ __________________________ Are you within your budget? __________ If not, reduce one expense or the number of nights you’re staying above.

Can you answer this. ill mark whoever answers as brainliest!

help help help pls pls​

Help me out please!

(-8i)(5i)(3i)

The mean marks of 100 students were calculated as 65. At the time of checking it was found the marks 40 and 50 was wrongly copied and weeded out Find the correct mean marks.​

Find the area of the deck

Expand the following:
5 (3x + 2)

Work out the area of this semicircle with radius 3cm give your answer in terms of pie

Anyone? help? please?

Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the vertices are ​(-2.6, -1.5), ( -2.6,3.3), and (2.7, 3.3). What are the coordinates of the fourth​ vertex?

Which expression is equivalent to the expression below?
m+3
m2-16
m2-9
m+4

Members of the Video Digital club produce short videos. At the end
of each school year, the club hosts a Video Digital festival at a local
theater to show the community its top 25 videos.

Part A:
The club has realized from experience that when they don't charge
for admission, 800 people come. For every dollar they charge for
admission, 8 fewer people come. Write an inequality that they can
use to determine the price, p, in dollars that the club must charge for
at least 750 to come to the video festival

Part B: solve the inequality you wrote to in part A

Part C: explain in words what the solution to the inequality means in terms of the situation. Explain why the direction of the inequality sign in the solution makes sense.

which answer choice is equivalent to the expression (x+2)^2 - 6x+2?
a. x^2 - 2x+8x
b. x^2 - 2x+6
c. x^2 - 6x+4
d. -5x^2 +6

i have no idea how to do this help

Which equation below would match this graph?
a. y = 3(2)^x
b. y = 2(2)^x
c. y = 2^x
d. y = (-2)^x

Amanda just put 22.95 gallons of fuel into her car. There were 3.9 gallons in the car to begin with. How much fuel is in Amanda's car now?

Can you help me how to do this question.​

Find the area of the transmetim​

HELP ME
I NEED QUICKLY ANSWER
PLEASE

¿Cuál es el valor de x en la siguiente ecuación?


4X =8 -8

Write as a single number. log464 + log536

Write the equation of each line in slope intercept form
goes through ( 0,4) and (-2,8)

Will give brainiest!!

The radius of a circle is 15 in. Find its circumference in terms of \piπ.

Help me with this please