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Rus_ich [418]
3 years ago
7

What is the first error Alycia made in her proof.

Mathematics
1 answer:
iogann1982 [59]3 years ago
8 0

Answer: Alycia only established some of the necessary conditions for a congruence criterion.

Step-by-step explanation: Two triangles are <u>congruent</u> if their corresponding sides or/and corresponding angles are the same.

There are 5 ways to find out if the triangles are congruent.

The one Alycia used seems to be the one called <u>Side-Angle-Side</u>, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.

For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:

1) ∠O = ∠S

2) OP = TS

And

3) RS = OQ

So, Alycia's error is that she didn't prove RS = OQ, which would definitively  conclude that both triangles are congruent.

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Please help anybody it would help alot
antoniya [11.8K]
X=20

180-77=103

so then simplify (6x-17)=103
6x=120
x=20
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3 years ago
What is 23/6 as a mixed number?
saveliy_v [14]
23/6 as a mixed fraction is 3(5/6)
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3 years ago
Read 2 more answers
Jarred went to the bookstore,
Fudgin [204]

Answer:

the original price of the book is $20

Step-by-step explanation:

sometimes in a question, they put things in the question that don't actually help us get to the answer. usually we ignore it, but i'm going to list them out just to help you a bit more.

<u>Things that are useless:</u>

  • his name is Jarred (his name could be gary, it doesn't affect us getting the answer)
  • he went to a bookstore (he could've gone to the library, it wont affect us getting to the answer)
  • the book is softcover (it could be any type of book, wont affect us getting to the answer)
  • the item is a book (it could be anything that he bought, wont affect us getting to the answer.)

<u>Things that are helpful:</u>

  • the book was on sale (helps us know that the price was reduced)
  • the book was on sale 10% (helps us know how much it was reduced by)
  • he spent $18 for the reduced price (helps us know how much he spent)

Ok, now that we know those, let's work on the question.

let b be the original book price

we need to find 10% so we have to use 90% (because 100 - 10 = 90)

if we needed to find 20% we would use 80% (because 100 - 20 = 80)

and so on.

  90% of b = 18    (90% of the og. book price equals 18)

90/100 × b = 18    (write a correct equation and make the percent a fraction)

    9/10 × b = 18    (simplify both sides of the equation)

         9 × b = 180  (multiply both sides of the equation to get rid of fraction)

               b = 20   (divide both sides of the equ. to get b by itself)

the original price of the book is $20

hope this helped :D

good luck my friend

- cheesetoasty

3 0
3 years ago
Please help , I would sincerely appreciate it
kozerog [31]

Answer:

B . S /2rh =pi

Step-by-step explanation:

S = 2* pi * r*h

We are solving for pi

Divide both sides by 2rh to isolate pi

S/ 2rh = 2 * pi *r* h / 2rh

S /2rh =pi

5 0
3 years ago
Given line BD is congruent to BC, find the measure of angle B
Degger [83]
If BD is congruent to BC, that means that the sides are equal, so their angles are too.
6x-9 = 3x+24
3x = 33
x = 33/3
x = 11
Angle BCD:
6×11-9 = 66-9 =57°
Angle BDC:
3×11+24 = 33+24 = 57°
Angle B:
x = 180° - 2×57°
x = 66°
5 0
3 years ago
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