Answer:
2 - 8i
Step-by-step explanation:
The additive inverse of something is basically the opposite of it. Another way to say this is that when you add the additive inverse to -2 + 8i, it will equal 0.
<u>An example:</u>
The additive inverse of 7 is -7 because not only is it the opposite, but also when you add 7 and -7, it equals 0.
<u>To solve</u>
So all you need to do is find the opposite of -2 + 8i. You can write it as:
-(-2 + 8i) With the negative in the front because we want to find the opposite.
This then equals:
2 - 8i
You can check your answer by adding -2 + 8i and 2 - 8i to see if it equals 0:
(-2 + 8i) + (2 - 8i) → and it does equal 0
<u>ANSWER:</u> 2 - 8i
Hope you understand and that this helps with your question! :)
Subtract 22 on both sides
Answer:
Step-by-step explanation:
x = total number of students
1500 + 367x = 16,600
367x = 16,600 - 1500
367x = 15100
x = 15100 / 367
x = 41.14.......rounds to 41 students <==
this only works if the port fees and taxes that the city gave them are included in the money the class raised
Answer:
40°
Step-by-step explanation:
A parallelogram is a quadrilateral (a four-sided object) with parallel sides
Some of the characteristics of a parallelogram includes:
1. Opposite sides and angles are congruent.
2. Opposite angels are congruent
3. Consecutive angles are supplementary
4. The diagonals bisect each other
Angle DBC = ABD = 35 (alternate angles are equal)
Angle ADB = 180 - 35 - 105 = 40
I subtracted from 180 because sum of angles in a triangle is equal to 180
Answer:
1. ∠ABD = 20°.
2. Arc AB = 140°.
3. Arc AD = 40°.
Step-by-step explanation:
Given information: ∠ADB = 70°. BD is diameter.
According to Central angle theorem, the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points.
By Central angle theorem,
Using angle sum of property in triangle ADB we get,
.
Draw a line segment AO.
In triangle AOD, AO=OD, so
Using angle sum property in triangle AOD,
Therefore length of arc AD is 40°.
The angle AOD and AOB are supplementary angles.
Therefore length of arc AB is 140°.
