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Tom [10]
3 years ago
15

Given that AB is a line segment and the angle y = 47°, work out the value of the angle marked x.

Mathematics
1 answer:
IrinaVladis [17]3 years ago
4 0

Answer:

x = 133°

Step-by-step explanation:

Straight-line pair - A pair of angles that lie on a straight line.

<em>*</em><u><em>Property</em><em>*</em></u>

The sum of two angles of a straight-line pair is equal to <u>180°</u>.

The given angles – x and y – form a <u>straight-line pair.</u>

==> x + y = 180

<em>{</em><em>y</em><em> </em><em>=</em><em> </em><em>4</em><em>7</em><em>°</em><em> </em><em>(</em><em>given</em><em> </em><em>in</em><em> </em><em>t</em><em>he</em><em> </em><em>question</em><em>)</em><em>}</em>

<em>Substituting</em><em> </em><em>4</em><em>7</em><em> </em><em>for</em><em> </em><em>y</em><em>:</em>

==> x + 47 = 180

<em>Subtracting</em><em> </em><em>4</em><em>7</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

==> x = 47 - 47 = 180 - 47

==><u> x = 133</u>

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The theater has already sold 7p tickets. Write and solve an inequality that represents how many more tickets the theater needs t
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The theater must sell more than 35 tickets to earn at least $1000.

Step-by-step explanation:

Cost of one student ticket = $9.50

Tickets already sold = 70

Cost of 70 tickets = 70*9.50 = $665

Worth to be made by selling tickets = $1000

Let,

x be the number of tickets to be sold.

According to statement;

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Dividing both sides by 9.50

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Rounding off to nearest whole number

x>35

The theater must sell more than 35 tickets to earn at least $1000.

Keywords: variable, inequality

Learn more about variables at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

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