The two given angles are vertical angles and equal each other:
3x + 50 = 6x -10
Now solve for x:
Subtract 3x from both sides:
50 = 3x -10
Add 10 to both sides:
60 = 3x
Divide both sides by 3
X = 20
Answer:
x = -30
Step-by-step explanation:
<u>Step 1: Subtract 16 from both sides</u>
x + 16 = -14
x + 16 - 16 = -14 - 16
<em>x = -30</em>
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Answer: x = -30
Answer:
<h3>100 tickets</h3>
Step-by-step explanation:
Probability of winning = amount of tickets purchased/Total number of tickets
20% = 20/total number of tickets
20/100 = 20/total number of tickets
cross multiply
20 * total number of tickets = 20 * 100
20 * total number of tickets = 100
total number of tickets sold = 100 tickets
Answer:
angle y
58 + 38 + y = 180 (angle sum property)
96 + y = 180
y = 180 - 96
y = 84
angle x
x = 29 (58/2)
(angle subtended by an arc at centre is double the arc at any point on remaining part of centre)
the values of x = 29 and y = 84
Answer:

Step-by-step explanation:
The formula of an area of a rectangle:

<em>l</em><em> - length</em>
<em>w</em><em> - width</em>
We have

Substitute:

Use FOIL <em>(a + b)(c + d) = ac + ad + bc + bd</em>
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combine like terms
