Answer:
Do 24 multiple 6 and u should get your answer
Focus on the top line angles for now.
Those two angles combine to the straight angle ABC, which is 180 degrees.
(angleABY) + (angleYBC) = angle ABC
(x+25)+(2x+50) = 180
(x+2x) + (25+50) = 180
3x+75 = 180
3x = 180-75
3x = 105
x = 105/3
x = 35
We'll use this x value to find that:
- angle YBC = 2x+50 = 2*35+50 = 70+50 = 120 degrees
- angle BEF = 5x-55 = 5*35-55 = 175-55 = 120 degrees
Angles YBC and BEF are corresponding angles (they are both in the northeast corner of their respective four-corner angle configuration). They are both 120 degrees. Since we have congruent corresponding angles, we have effectively proven that AC is parallel to DF. Refer to the converse of the corresponding angles theorem.
The regular version of the "corresponding angles theorem" says that if two lines are parallel, then the corresponding angles are congruent. The converse reverses the logic of the conditional statement. Meaning that if the corresponding angles are congruent, then the lines are parallel.
3 feet by 5 feet is the original figure.
We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle
We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle
The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.
The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5
The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.
The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!
Answer:
Step-by-step explanation:
If the impedance is related to the voltage and the current by the formula V = IZ where;
V is the voltage
I is the current
Z is the impedance
Given
I = 0.4+3i
V = 0.3-2i
Voltage V = (0.4+3i)(0.3-2i)
V = 0.4(0.3)-0.8i+0.9i-6i²
V = 0.12+0.1i -6i²
Since i² = -1
V = 0.12+0.1i-6(-1)
V = 0.12+0.1i+6
V = 6.12+0.1i.
Hence the impedance is 6.12+0.1i
Hey there!
You can use subtraction:
1,897 - 834 = 1,063
1,063 + 834 = 1,897
x = 1,063 <------- Answer
Hope this helps
Have a great day (:
