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2 years ago

Find the value of x. 43° x = [ ? ] X Enter

Mathematics

1 answer:

shepuryov [24]2 years ago

5 0

Answer:

x = 137

Step-by-step explanation:

Remark

What you have is a cyclic quadrilateral. That is a 4 sided figure whose angle vertices touch the circle's circumference. The sum of angles opposite each other = 180 degrees.

Givens

<1 = 43 degrees

Sum of x and <1 = 180 degrees.

Solution

x + 43 = 180 Subtract 43 from both sides

x + 43-43 = 180-43 Combine

x = 137

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what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.

qaws [65]

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.

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3 years ago

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1 year ago

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stira [4]

11+4 = 2x-5x
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4 0

3 years ago

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Lucy is raising money for a school trip by selling lollipops and bags of

sukhopar [10]

<h3>16 lollipops and 9 bags of chips are sold</h3>

<em><u>Solution:</u></em>

Let "x" be the number of lollipops sold

Let "y" be the number of bags of chips sold

Cost of 1 lollipop = $ 1.50

Cost of 1 bag of chip = $ 1.75

<em><u>Yesterday Lucy made $39.75 from selling a total of 25 lollipops and bags of chips</u></em>

Therefore,

x + y = 25

y = 25 - x -------- eqn 1

<em><u>Yesterday Lucy made $39.75</u></em>

Therefore,

number of lollipops sold x Cost of 1 lollipop + number of bags of chips sold x Cost of 1 bag of chip = 39.75

$x \times 1.50 + y \times 1.75 = 39.75$

1.5x + 1.75y = 39.75 -------- eqn 2

<em><u>Substitute eqn 1 in eqn 2</u></em>

1.5x + 1.75(25 - x) = 39.75

1.5x + 43.75 - 1.75x = 39.75

0.25x = 4

<em><u>Substitute x = 16 in eqn 1</u></em>

y = 25 - 16

Thus 16 lollipops and 9 bags of chips are sold

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3 years ago

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Sphinxa [80]

Answer:

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Step-by-step explanation:

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4 years ago