Answer:
<h2>x = 145°, y = 35°</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
m || n
<em><u>So</u></em><em><u>,</u></em>
35° = y° <em>[</em><em>Alternate</em><em> </em><em>interior</em><em> </em><em>angles</em><em>]</em>
<em>And</em><em>,</em>
y° + x° = 180° <em>[</em><em>Since</em><em> </em><em>linear</em><em> </em><em>pair</em><em>]</em>
=> x + 35 = 180
=> x = 180 - 35
=> x = 145°
<em><u>Hence</u></em><em><u>, </u></em>
<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>145</u></em><em><u>°</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em><em><u>°</u></em>
Answer:
B) 1,260
Step-by-step explanation:
7!/2!2! = 1,260
Answer:
Step-by-step explanation:
Considering the geometric sequence
As the common ratio '
' between consecutive terms is constant.
The general term of a geometric sequence is given by the formula:
where 
is the initial term and the common ratio.
Putting 
, 
and in the general term of a geometric sequence to determine the 12th term of the sequence.
∵ 
Therefore,
(x-4)² + (x-2)² = x²
(x² - 8x + 16 ) + (x² - 4x + 4) = x
2x² -12x + 20 = x
2x²-12x + 20 - x = 0
2x² - 13x + 20 = 0
(2x-5) (x-4) = 0
2x-5 = 0
2x = 5
x = ⁵/₂
x-4 = 0
x = 4
so x₁ = ⁵/₂ , and x₂ = 4
