Answer:
see explanation
Step-by-step explanation:
(1)
The common ratio r of a geometric sequence is
r = = , so
= ( cross- multiply )
(x + 1)² = x(x - 1) ← expand both sides
x² + 2x + 1 = x² - x ( subtract x² - x from both sides )
3x + 1 = 0 ( subtract 1 from both sides )
3x = - 1 ( divide both sides by 3 )
x = -
(2)
r = = = = -
(3)
If - 1 < r < 1 then the sequence will converge
r = - meets this criteria , thus the sequence is convergent
Which of the following segments is not tangent to circle A?
AM
By using variables. x is the quotient, so 1/4 times x is the dividend, which is 3. Find what is x and 12 is your answer.
Answer:
y= 14
Step-by-step explanation:
Given that AC= BC, △ABC is an isosceles triangle.
∠CBA= ∠CAB (base ∠s of isos. △)
∠CBA= 50°
∠ACB +50° +50°= 180° (∠ sum of △ABC)
∠ACB +100°= 180°
∠ACB= 180° -100°
∠ACB= 80°
Given that ∠ACB= (5y +10)°,
(5y +10)°= 80°
5y +10= 80
5y= 80 -10 <em>(</em><em>-10</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
5y= 70 <em>(</em><em>simplify</em><em>)</em>
y= 70 ÷5 <em>(</em><em>÷</em><em>5</em><em> </em><em>throughout</em><em>)</em>
y= 14
Y= 1x because the slope is 1 because rise over run 1