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Delvig [45]
3 years ago
7

Indicate the method you would use to prove the two triangles congruent. If no method applies, enter “none”.

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0

We have to determine the congruence criteria which would prove that the given triangles are congruent.

Consider the triangles RSV and VTU

VR = VU (Given)

\angle RSV = \angle VTU (Given)

\angle SVR = \angle TVU (Given)

Hence, the triangles RSV and VTU are congruent by AAS congruence criteria.

As, if two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent by AAS congruence criteria.

So, option 4 is the correct answer.

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Simplify. (√5+4) (√5 - 2)​
son4ous [18]

Answer:

2√5 - 3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Expand by FOIL

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

(√5 + 4)(√5 - 2)

<u>Step 2: Simplify</u>

  1. Expand [FOIL]:                                                                                                  (√5)² - 2√5 + 4√5 - 8
  2. Combine like terms:                                                                                           (√5)² + 2√5 - 8
  3. Evaluate exponents:                                                                                        5 + 2√5 - 8
  4. Combine like terms:                                                                                         2√5 - 3
6 0
2 years ago
Read 2 more answers
A rectangular prism has volume 12x3 − 11x2 − 5x. Which expressions can represent the dimensions of the prism?
Nonamiya [84]
The expressions that can represent the dimensions of the prim is (x), (3x+1) and (4x-1).
3 0
3 years ago
BRAINLIEST ANSWER!!!! #9 1/4 (5x+2)-1/5(x+3)=2 what’s the solution set?
Nina [5.8K]

x=2 from cross multiplying.

3 0
3 years ago
You take a quiz with 6 multiple choice questions. After you studied your estimated that you would have about an 80 % chance of g
Arada [10]

Answer:

1.15%

Step-by-step explanation:

To get the probability of m  independent events you multiply the individual probability of each event. In this case we have m independent events, each one with the same probability, therefore:

p^{m}

0.8^{20} = 1.15\%

This is a particlar scenario of binomial distribution problem. So the binomial distribution questions are about the number of success of m independent events, where every individual event has the same p probability. In the question we have 20 events and each event has a probability of 80%. The binomial distribution formula is:

\binom{n}{k} * p^{k} * (1-p)^{n-k}

n is the number of events

k is the number of success

p is the probability of each individual event

\binom{n}{k} is the binomial coefficient

the binomial coefficient allows to find the subsets of k elements in a set of n elements.  In this case there is only one subset possible since the only way to get 20 of 20 correct questions is to getting right all questions (for getting 19 of 20 questions there are many ways, for example getting the first question wrong and all the other questions right, or getting second questions wrong and all the other questions right, etc).

\binom{n}{k} = \frac{n!}{k!(n-k)!}

therefore, for this questions we have:

\frac{20!}{20!(20-20)!} * 0.8^{20} * (1-0.8)^{0} = 1.15\%

4 0
2 years ago
The system of equations below represents p, the number of photo files, and v, the number of video files Helena uploaded to an on
ss7ja [257]
P + v = 650....p = 650 - v
4p + 9v = 2925

4(650 - v) + 9v = 2925
2600 - 4v + 9v = 2925
-4v + 9v = 2925 - 2600
5v = 325
v = 325/5
v = 65.....video files

p + v = 650
p + 65 = 650
p = 650 - 65
p = 585....photo files

answer : Helena uploaded 9 times as many photo files as video files
               65 * 9 = 585
5 0
3 years ago
Read 2 more answers
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