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2 years ago

To prove that the triangles are similar by the SAS similarity theorem, it needs to be proven that

Mathematics

2 answers:

Klio2033 [76]2 years ago

5 0

Answer: The answer is as follows

Step-by-step explanation:

You need to show that two sides of one triangle are proportional to two corresponding sides of another triangle, with the included corresponding angles being congruent.

mariarad [96]2 years ago

4 0

SAS for similar triangles is NOT the same theorem as we used for congruent triangles. To show triangles are similar, it is sufficient to show that two sets of corresponding sides are in proportion and the angles they include are congruent. Theorem: If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, the triangles are similar.

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In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win

lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

Expected value for one play= $(-1.41)

Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0

1 year ago

Part B: Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation o

fgiga [73]

Irrational number between 9.5 and 9.7...

9.678937... (never ending)...it is irrational because it cannot be made into a fraction because it is infinite.

the decimal approximation to the nearest hundredth is : 9.68

4 0

2 years ago

Sam's Furniture Store places the following advertisement in the local newspaper.

boyakko [2]

Answer:

$500

Step-by-step explanation:

<h3>Given</h3>

Sofa = s
Love seat = l
Chair = c

Sofa and love seat cost = $1300
Sofa and 2 chairs cost = $1400
Sofa, love seat and one chair cost = $1600

Love seat = ?

<h3>Solution</h3>

<u>Equations as per given are:</u>

s + l = 1300
s + 2c = 1400
s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

s + l + c - s - l = 1600 - 1300
c = 300

<u>Considering this in the equation 2:</u>

s + 2*300 = 1400
s = 1400 - 600
s = 800

<u>Substituting s in the equation 1:</u>

800 + l = 1300
l = 1300 - 800
l = 500

<u>Answer:</u> Love seat costs $500

6 0

2 years ago

If the screws that are 4/8 of an inch are laid end to end touching each other how far would the row extend?

Irina18 [472]

Idk because you did not say yes you did how many sides there were

8 0

2 years ago

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Gina has 5 2/6 feet of silver ribbon and 2 4/6 of gold ribbon. how much more silver ribbon does gina have than golden ribbon?

MrRissso [65]

To answer the question above, we are simply to subtract the length of the gold ribbon which is 2 4/6 ft from the length of the silver ribbon, 5 2/6 feet. Mathematically,
5 2/6 feet - 2 4/6 feet = 8/3 feet
Therefore, Gina has 8/3 feet more of the silver ribbon than the golden ribbon.

8 0

1 year ago

Read 2 more answers