One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Answer : The value of angle B and angle D is 25⁰ and 35⁰ respectively.
Step-by-step explanation :
As we know that the opposite angles are equal in parallelogram.
According to the given figure,
∠A = ∠C
and
∠B = ∠D
Given:
∠B = (3n - 5)⁰
∠D = (2n + 15)⁰
From this we conclude that:
∠B = ∠D
(3n - 5)⁰ = (2n + 15)⁰
3n - 5⁰ = 2n + 15⁰
3n - 2n = 15⁰ - 5⁰
1n = 10⁰
n = 10⁰
∠B = (3n - 5)⁰ = (3×10 - 5)⁰ = 25⁰
∠D = (2n + 15)⁰ = (2×10 + 15)⁰ = 35⁰
Therefore, the value of angle B and angle D is 25⁰ and 35⁰ respectively.
Answer:
x²-8x-1=0
comparing above equation with ax²+bx+c=0
a=1
b=-8
c=-1
x=
=(--8+-√(64-4×1×-1)/2×1
=8+-√(64+4)/2
taking positive
x=(8+√68)/2=2(4+√17)/2=4+√17
taking negative
x=(8-√68)/2=2(4-√17)/2=4-√17
When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.
Then you subtract 5 on both sides because of the opposite of addition is subtraction.
6=-2x
now divide on both sides
x=-3
Answer:
(3x - 2)(3x + 2)
Step-by-step explanation:
9x² - 4 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
9x² - 4
= (3x)² - 2²
= (3x - 2)(3x + 2) ← in factored form
