Answer:
Correct answer: C. -20
Step-by-step explanation:
If (x-3) is a polynomial factor it means that the polynomial value at point 3 is zero.
H(3) = 3 · 3³ - 2 · 3² + 3k - 3 = 0 ⇒ 81 - 18 + 3k - 3 = 0 ⇒ 3k + 60 = 0
3k = - 60 ⇒ k = - 60/ 3 = - 20
k = - 20
God is with you!!!
needless to say that the conversion from miles to kilometers uses a constant value, and therefore, they're directly proportional.
now, I could write the direct proportional relation blah blah but there's no need, we can simply squeeze it out of the table by simply checking how many kilometers there are in 1 mile.
well, we know that 11.0 miles give us 17.699 km, ok hmmm if we divide 17.699 ÷ 11 = 1.609.
if we do the same on table for 26 and 41.834, so 41.834 ÷ 26 = 1.609, and the next pair 54.706 ÷ 34 = 1.609, the value of 1.609 is consistent or constant, or namely that there are 1.609 kilometers in 1 mile.
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Sum of the interior angles of any triangle equal 180 degrees .
Thus ;

Subtract sides 90

Simplification


Collect like terms


Subtract sides 26


Divide sides by 8


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So ;
The angle marked as 3x + 10 would measure 34° degrees.

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And ;
The angle marked as 5x + 16 would measure 56° degrees.

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Done...
Answer:
68
Step-by-step explanation:
Area of a triangle is

Answer:
8
Step-by-step explanation:
Since this isosceles triangle has been broken down into two right triangles, and we already know that two sides are the exact same (note that there are 2 x's) that means BD and BC are going to be the exact same length. Since BD is 4, that means BC will be 4, and that means

Hope this helped!