The correct answer is: [D]: "<span>supplementary angles, 180° " .
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<u>Note:</u>
</span><span>
Choices:
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[B]: "complementary angles, 180° " ; and:
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[C]: "supplementary angles, 90° " ;
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can automatically be ruled out ; since by definition:
</span>→ Complementary angles always add up to 90° — NOT 180° ;
and: supplementary angles always add up to 180° — NOT 90° .
<span>_____________________________________________________
Note: "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180</span>° . Futhermore, looking at the image provided,
we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;
and as such; ∠1 and ∠2 are supplementary angles—
and as such—add up to 180° .
(which rules out: Choice [A]: "complementary <span>angles, 90°) ;
</span>→ <span>and demonstrates the correct answer:
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Answer choice: [D]: "</span><span>supplementary angles, 180°</span><span> " .
</span> <span>______________________________________________________
</span>
Answer:
Step-by-step explanation:
A recursive formula is a formula in which each term is based on the previous term.
In a geometric sequence, each term is found by multiplying the previous term by a constant.
To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.
The recursive formula for a geometric sequence is
, where 
represents the general term, 
, represents the previous term, and r represents the common ratio.
Plugging in our values, we have
We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us
How do I find the Q1 and Q3?<br><br>
0,0,1,2,2,3,4,4,4,4,5,6,6,7,7
Angelina_Jolie [31]
Answer:
Q1 = 2
Q3 = 6
Step-by-step explanation:
Mathematically, we have
Q1 = (n + 1)/4 th term
where n is the number of terms
By the count, we have n as 15
Q1 = (15 + 1)/4
Q1 = 4th term
Looking at the arrangement, the 4th term is 2
For Q3
Q3 = 3(n + 1)/4 th term
n = 15
Q3 = 3 * 4 = 12th term
The 12th term is 6
So that is the 3rd quartile
Each interior angle of a regular hexagon is 120°.
.. 4x +24° = 120°
.. 4x = 96° . . . . . . . subtract 24°
.. x = 24° . . . . . . . . divide by 4
You can use any data set in this table (except the row with x) to get the ratio.
so 20/196 is the ratio which equals about .102041
then multiply that decimal by the weight in the x row to see what x is
so 1078(.102041) = 110.000198 just round that to 110. you can also verify that ratio by checking other data points. for instance
490(.102041) = 50.00009 or 50
so you know x is 50 so answer is either b or d
then you know the ratio .102041, so does (10/98) = .102041
or does (98/10) = .102041
if you do the division you will see that (10/98) = .102041
so the answer is D
