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nydimaria [60]
3 years ago
7

Hi . i need help with this question on my geometry test !

Mathematics
1 answer:
Simora [160]3 years ago
3 0

Answer:

x = 2

y = 7

Step-by-step explanation:

ON = LM

therefore

12x - 5 = 4x + 11

      +5         +5

12x = 4x + 16

-4x    -4x

8x = 16

/8     /8

x = 2

NM = OL

therefore

x + 7 = 2y - 5

(2) + 7 = 2y - 5

9 = 2y - 5

+5        +5

14 = 2y

/2     /2

7 = y

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Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the
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The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is \frac{4}{3}  

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

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Solution :

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Total number of outcome = 3

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<h3><u>Answer</u><u>:</u><u>-</u></h3>

x=17

<h3><u>step-by</u><u>-</u><u>step</u><u> </u><u>Explanation</u><u>:</u><u>-</u></h3>

{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}

<h3 />

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

<h3><u>Solution</u><u>:</u><u>-</u></h3>

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According to sum theory

{\boxed{\sf The \:sum\:of\:angles=180°}}

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\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180

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\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180

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\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180

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\qquad \quad{:}\longmapsto\tt 11x=180+7

\qquad \quad{:}\longmapsto\tt 11x=187

\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}

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\qquad \quad{:}\longmapsto\tt x=17

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