Answer:
D
Step-by-step explanation:
The only option with coordinates within the triangle is D.
Coordinates included within the triangle. (-1, 0), (-1, -2), and <em>(-1, -1) </em>
(-1, -1) is the only one listed in the given options.
Basically each part of the first complex number gets multiplied by each part of the second complex number. You are multiplying 2 binomials.
(15 + 56i(7 + 4i)
= 105 + 60i + 392i + 224i^2
= 105 + 452i - 224 ( because i^2 = -1)
= - 119 + 452i
<h3>
Answer: 133</h3>
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Explanation:
The quickest way to get this answer is to add the angles given to get 87+46 = 133
This is through the use of the remote interior angle theorem.
Note how the angles 87 and 46 are interior, or inside the triangle. And also, they are not adjacent to the exterior angle we want to find. So that's where the "remote" portion comes in.
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The slightly longer method involves letting x be the measure of the missing interior angle of the triangle.
The three interior angles add to 180
87+46+x = 180
133+x = 180
x = 180 - 133
x = 47
The missing interior angle of the triangle is 47 degrees.
Angle 1 is adjacent and supplementary to this 47 degree angle, so,
(angle1)+(47) = 180
angle1 = 180-47
angle1 = 133 degrees
This example helps confirm that the remote interior angle theorem is correct.
Answer:
640
Step-by-step explanation:
First u put 15/60 in fraction form(15over60)u find out the multiple that they have incommon which is 15 you divide your denominator and your numerator by 15 because that was the common multiple.so now u divide,(15 divided by 15=1)then divide(60 dived by 15=4)so now your answer is 1/4.I HOPE THIS HELPS
