Answer:
When 2 lines are parallel, the sum of interior corresponding angles = 180
120 + b = 180
b = 180 - 120 = 60
a + 30 = 180
a = 180 - 30 = 150
Answer:
Each binder costs 30 cents or $0.30
Step-by-step explanation:
If Sarah's total was $9.05 and the binder costs 7.25 then in order to find the price of the folders you must subtract the cost of the binder (7.25) from the total (9.05) which leaves $1.80 as the amount she paid in total for 6 folders. Next, to find the amount spent per folder divide 1.80 by the number of folders which is 6 and your final answer should be 0.30.
9.25= 7.25+6x (next subtract 7.25 on both sides)
1.80=6x (next divide by six on both sides)
0.30=x
Answer:
x + 4/3x^3
Step-by-step explanation:
y=1/2x^2-2/3x^-2
dy/dx=1/2(2x)-2/3(-2x^-3)
=x+4/3 x^-3
=x+4/3x^3
Answer:
<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>
Step-by-step explanation:
6y - 5z = -8 .......... Equation 1
3z = -6 ................... Equation 2
4x - 3y - 2z= 21...... Equation 3
<u>First solve for z in Equation 2</u>
That's
3z = - 6
Divide both sides by 3
<h3>z = - 2</h3>
Next substitute the value of z into Equation 1 in order to find y
We have
6y - 5(-2) = - 8
6y + 10 = - 8
6y = - 8 - 10
6y = - 18
Divide both sides by 6
<h3>y = - 3</h3>
Finally substitute the values of y and z into Equation 3 to find the value of x
That's
4x - 3(-3) - 2(-2) = 21
4x + 9 + 4 = 21
4x + 13 = 21
4x = 21 - 13
4x = 8
Divide both sides by 4
<h3>x = 2</h3>
So the solutions are
<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>
Hope this helps you
I think it might be 43° because since the line is going through the middle, it would be 180-47-90=43 (the 90 came from the right angle)
hope this helps! :)