Answer:
7 yd
Step-by-step explanation:
You are finding the perimeter. Your answer should include yd (yd² is for area, yd³ is for 3d images).
Note that the two lines segments (? & 9) is parallel to the other line segment (16). Find the ?:
? + 9 = 16
? + 9 (-9) = 16 (-9)
? = 16 - 9
? = 7
7 yd is your answer
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Answer: The formula for the volume of a polygon is 1/2 x perimeter x apothem
Answer:
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
Step-by-step explanation:
5z^2−9z=−7z−5
We need to get all the terms on one side (set the right side equal to zero)
Add 7z to each side
5z^2−9z+7z=−7z+7z−5
5z^2−2z=−5
Add 5 to each side
5z^2−2z+5=−5 +5
5z^2−2z+5=0
This is in the form
az^2 +bz+c = 0 so we can use the quadratic formula
where a = 5 b = -2 and c = 5
-b± sqrt(b^2-4ac)
-------------------------
2a
-(-2)± sqrt((-2)^2-4(5)5)
-------------------------
2(5)
2± sqrt(4-100)
-------------------------
10
2± sqrt(-96)
-------------------------
10
2± sqrt(16)sqrt(-1) sqrt(6)
-------------------------
10
2± 4i sqrt(6)
-------------------------
10
1/5 ± 2/5 i sqrt(6)
Splitting the ±
1/5 + 2/5 i sqrt(6) = .2 + .98i
1/5 - 2/5 i sqrt(6) = .2 - .98i
<em>x</em> and <em>w</em> are parallel lines, so
• angles 2 and the one labeled 75º are congruent because they are alternating interior angles, and
• angles 1 and 2 are supplementary because they form a linear pair.
The first observation tells you that angle 2 has measure 75º, and angle 1 has measure <em>m</em> such that
<em>m</em> + 75º = 180º
so angle 1 has measure 180º - 75º = 105º.
