Answer:
question 3.3 Answer: Angle 3
question 3.4 Answer: ABD and DBC are complementary angles
question 3.5 Answer: x is 7 degrees (first answer option)
Step-by-step explanation:
First question:
Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.
Second question:
Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.
Third question:
Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:
( 6 x - 20 ) + (4 x + 40 ) = 90
combining like terms and later solving for x we get:
6 x + 4 x - 20 + 40 = 90
10 x + 20 = 90
10 x = 90 - 20
10 x = 70
x = 7
Therefore x is 7 degrees
15, 2, 9, 5 is the answer
Start by expanding the first two brackets
(2+i)(3-i)
Multiply 2x3=6, then 2x I = 2i, then i x 3= 3i, then i x i= i2( i squared)
so it will be written as 6+2i+3i+i2( squared)
from here you can see that 2i and 3i can be added together to make 5i
so, 6+5i+i2(squared)
Then you bring in the third bracket from the question.
(6+5i+i2)(3+i)
6 x 3=18
6 x i= 6i
5i x 3=15i
5i x i=5i2(squared)
2x3=6
2x i= 2i
so you get 18+6i+15i+5i2(squared)+6+21
6i and 15i can be added together
18, 6 and 21 can be added together
so, 21i+5i2(squared)+45
Answer:
Step-by-step explanation:
If you meant infinity, that is the answer, I think you should elaborate on the question