namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.
so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.
Answer:
The measure of the third angle is 35°.
Step-by-step explanation:
The sum of the three angles of a triangle is always 180°.
Let the measure of the third angle be x.
∴ 61° + 84° + x = 180°
145 + x =180°
x = 180 - 145
x = 35°
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Greetings!Simplify both sides of the equation.
Both sides of the equation are not equal.
Hope this helps.
-Benjamin
9514 1404 393
Answer:
1. proportional, 6
2. not proportional
Step-by-step explanation:
<u>Table 1</u>
Each y-value is 6 times the corresponding x-value, so the variables are proportional, and y = 6 times x.
<u>Table 2</u>
The ratios of y to x are 2, 4, 8, so are not the same. The values are not proportional.
(10*16)/2
160/2=80
The area is 80.
