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LenaWriter [7]
3 years ago
15

Find the value of the variable that results in congruent triangles for numbers 6 and 8.

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

x = 28

Step-by-step explanation:

From the figure attached,

AC ≅ FH [Given]

BC ≅ GH [Given]

AB ≅ FG [Given]

ΔABC ≅ ΔFGH [By SSS property of congruence]

Since, m∠A + m∠B + m∠C = 180°

50° + 69° + m∠C = 180°

119° + m∠C = 180°

m∠C = 180° - 119°

m∠C = 61°

m∠C = m∠H [Since, ΔABC ≅ ΔFGH]

(2x + 5)° = 61°

2x = 61 - 5

2x = 56

x = 28

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Answer:

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B= 18.5

C= 36

D= 32

Step-by-step explanation:

A= 180-130.2= 49.8

B= 90-71.5=18.5

C= 90-54=36

D= 113+35=148

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7 0
3 years ago
A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.
ira [324]

Answer:

P(first marble will be green and the second will be green as well)= 5/22

Step-by-step explanation:

A goblet contains 2 red marbles, 6 green marbles, and 4 blue marbles.

Total number of marbles= 2+6+4

                                        =12

P(first marble is green)=no. of green marbles/total number of marbles

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P(second marble is green and we didn't put the first marble back)

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Hence, P(first marble will be green and the second will be green as well)

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4 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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