Answer:
3 inches
Step-by-step explanation:
6 divded by 2 (or in half ) is 3
1/2(2x+6)
Substitute the one half to both of the numbers inside the parentheses.
1/2*2 is one which would just be x
1/2*6 is three
X+3
<h3>
Answer: 5 - 4i (choice A)</h3>
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Work Shown:
x = the other number
(5+4i)*x = 41
x = 41/(5+4i)
x = 41*(5-4i)/( (5+4i)*(5-4i) ) ..... see note below
x = 41*(5-4i)/( 41 )
x = (41/41)*(5-4i)
x = 5 - 4i
As a way to check, (5+4i)*(5-4i) = 5^2+4^2 = 25+16 = 41
The rule used is (a-bi)(a+bi) = a^2 + b^2
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Note: I multiplied top and bottom by (5-4i) to get rid of the imaginary term in the denominator.
5 : 7 = 5x : 7x
Sum of a pair <span>of consecutive angles of a parallelogram = 180⁰.
5x+7x=180
12x = 180
x= 15
5x=15*5 = 75⁰
7x=15*7 = 105⁰
Two angles are 75⁰ each,
and 2 angles 105⁰ each.
Check:
Sum of angles in the </span><span>parallelogram is 360⁰.
</span><span>75*2 + 105*2 = 360
360 = 360 True
</span>
Given that <span>Mrs.
Hawk assigns her students an average of no more than 15 questions on
each assignment. On their first 5 assignments Mrs. Hawk’s students had
11, 10, 13, 14, and 14 questions.
Let x be the number of questions she can have on the sixth assignment, then the inequality that
Mrs. Hawk can use to determine the number of questions she can have on
the sixth assignment is given by
</span>