Answer:
x = 30
Step-by-step explanation:
So we're going to start by finding the other angles of the triangle which x is part of. So we know that a line adds up to 180 degrees. So we can find the angle that's close to N. If you know which one I'm talking about.
105 + 45 = 150. So then we can subtract 150 from 180
180 - 150 = 30
And for the angle at angle L, it's also 90 degrees.
So we know that the angles that add up so far are 120.
Now we'll make an equation:
2x + 120 = 180
Because all angles of a triangle add up to 180
So we subtract 120 from both sides
2x = 60
Now we divide 2 form both sides.
x = 30
So, x = 30
You might be able to get the text-to-speech option on your phone to do this for you, since it involves saying the fractions aloud.
1/2 ⇒ one-half
2/3 ⇒ two thirds
1/4 ⇒ one quarter, or one fourth
2/4 ⇒ two fourths, or two quarters
2/5 ⇒ two fifths
5/6 ⇒ five sixths
4/7 ⇒ four sevenths
6/8 ⇒ six eighths
5/11 ⇒ five elevenths
1/12 ⇒ one-twelfth
1/20 ⇒ one-twentieth
_____
IMO, the use of a hyphen or not depends on the context. If the fraction itself is the focus, you might say one twelfth. If it is describing a portion of something else, you might say one-twelfth [of a cake].
Answer:
Step-by-step explanation:
A: 2x = 3
B: w+1.3 = 2.7
C: 3y = 5.1
D: z+⅓ = ½
F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...
X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.
Answer: 2.4
Hope this helps!
