Answer: 
Step-by-step explanation:
Using the same-side interior angles theorem, 
.
Using the alternate interior angles theorem, 
Change the left side to improper fractions.
9
--
4
====
3
--
2
Now use the fraction rule. Invert the denominator and multiply that by the numerator.
9 2
== * ==
4 3
18/12 = 3/2 which for now is left alone.
Now work with the fraction on the right side.
1 5/6 = 11/6
Now equate the two results
27/8 = 11/6 // x/1
Simplify the right side
3/2 = 11/6 * 1 / x Remember to invert and multiply that's why you need the 1 underneath the x
3/2 = 11/6x Cross multiply
3* 6x = 11 * 2
18 x = 22
18 x = 22
x = 11/9
x = 1.2222
What are the choices or are there any? The other choice is x = 1.2222
x = 22/18 or
x = 1.22222222 or
x = 11/9
All three are possible and all three are correct and all three are equal. Since I do not have choices, I don't know which one will be acceptable.
Check
I'll do this in decimals. It is much easier.
2.25/1.5 = 1.83333333 / 1.22222222
1.5 = 1.5 so these numbers do check.
Answer:
The state income tax = $3759
Step-by-step explanation:
The total taxable income = $66390
10% taxable amount = $66390 - $64000 = $2390
Total tax = $3520 + 10% of 2390
= $3520 + 0.1*2390
= $3520 + 239
The state income tax = $3759
Hope you will understand the concept.
Thank you. :)
Answer:
158.1
Step-by-step explanation:
Distance is the square root of (x1-x2)^2+(y1-y2)^2
square root of (-4-146)^2+(2-52)^2
square root of 150^2+50^2
square root of 22500+2500
square root of 25000
50sqrt10
Rounding is 158.1
Answer:
1
Step-by-step explanation:
(-2)(1/4)=-1/2
(-2)(-1/2)
=1
