Answer:
D
Step-by-step explanation:
First of all, i mean A and B are out first thing because you don't have enough information to find out if it's true.
C is incorrect because as stated before, not enough information.
<u><em>However,</em></u>
You know that the angles 1-8 are all supplementary, which means that 1 and 2 can be added to make 180 degrees, as so can 3 and 4, 3 and 1. 2 and 4, blah blah blah.
In D, the angles that are being added are supplementary, because the three lines making up that weird figure is adjacent and is parallel to each other.
If you give one of the angles a degree, you know that 180-x with x being that degree, will equal the other angle on the other side of the lines.
Therefore its D.
Edit:
I just realized that theres an angle stated at the top of the screen. Still with that angle given, A and B is incorrect and the answer is still D.
Answer:
11
Step-by-step explanation:
There are more than eleven cards in a deck but there can only be one outcome because there are only 11 letters in the word PERSONALITY.
Answer:
x = 45º
Step-by-step explanation:
well since a triangle has to equal 180º
then we just have to subtract 88º and 55º from 180º
180 - 80 - 55 = 45
therefore, x = 45
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
