Answer (this one's written in slope-intercept form):
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line 
is in slope intercept form, or 
form, and the number in place of 
represents the slope. Knowing this, it looks like 
is in the place of the in that equation, so is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or 
. is the slope and 
and 
are the x and y values of the point it must pass through. So, substitute for , 0 for , and -3 for . Simplify and isolate y to put it in slope-intercept form:
3) Thus, 
is the answer. It's written in slope-intercept form.
Hey there!
All we have to do is divide the price ($3.44) by how many pencils there are (8)
$3.44 ÷ 8 = $0.43
So, each pencil costs $0.43
Hope this helps you!
Always remember you are a Work Of Art!
-Nicole :) <3
Answer:100
Step-by-step explanation:
There are ten total people:
10C3
10!/(7!×3!) = 120
Note: but that includes all the cases where there are no senior partners
So firstly let figure out the number of cases where there are no senior partners
because there are 6 junior partners
6C3
= 6!/(3!×3!) = 20
120 - 20 = 100 or the number of possible groups where there is at least 1 senior partner.
Answer:
∠ACB 107°
Step-by-step explanation:
1.) First, by using straight angle theorem we can determine that ∠CED is equal to 180 - 147 which is 33°.
2.) Next, using alternate interior angles theorem we know that ∠CDE = ∠ABC which is 40°
3.) Then, because of the angle sum theorem we know that all the angles of the triangle must add to 180° and we can therefore solve for ∠DCE using the equation 33 + 40 + x = 180 where x is ∠DCE. By solving this we get 107°.
4.) Finally, using vertical angles theorem we know that ∠DCE = ∠ACB and so ∠ACB is 107°
