Answer:
<h2>x = 20</h2>
Step-by-step explanation:
The angles 7x° and (x + 20)° are supplementary angles.
Supplementary angles add up to 180°.
Therefore we have the equation:
7x + (x + 20) = 180
7x + x + 20 = 180 <em>subtract 20 from both sides</em>
8x = 160 <em>divide both sides by 8</em>
x = 20
Answer:
AC is double the length of AB
so AC = 12
Step-by-step explanation:
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Answer:
The18th term of the given sequence is -128
Explanation:
To find the 18th term of the sequence:
42, 32, 22, 12, ..., we need to find the nth term of the sequence first.
The nth term of a sequence is given be the formula:
Where a is the first term, and d is the common difference.
Here, a = 42, d = 32 - 42 = -10
To find the 18th terem, substitute n = 18 into the nth term
10 inches would make him taller than 70, 9 inches would make him exactly 70
Manipulate the first equation to
y = 22-7z
Then substitute in the second to find z
8(22-7z) + 7z = 127
176-56z+7z = 127
-49z = -49
z = 1
So y = 22-7(1) = 22-7 = 15
y = 15; z = 1
