Answer:
41, x=-5
Step-by-step explanation:
m<DEY = m<FEY, by angle bisector theorem
(9x-4) = 41
9x = 45
x = 5
m<DEY = 41
There are 60 minutes in 1 hour
and 186 divided by 60 = 3 remainder 6
which means you have 3 hours and 6 minutes
that will get you the mixed fraction of
3 6/60 which can be simplified to
3 1/10
Answer:
The solutions of the equation |2 x-3|=17
are x=10
and x=-7
Step-by-step explanation:
Given equations is |2 x-3|=17.
It is required to find out the values of x satisfying the given equation.
To find it out, use the fact that the solution of this type of equation is 2x-3=17.
Or 2x-3=-17 and simplify the equations using simple mathematical operations.
Step 1 of 2
Solve the equation 2x-3=17,
Add 3 on both sides of the equation 2x-3=17,
2x-3+3=17+3
2x=20
Divide by 2 on both sides of the equation 2x=20,
![$$\begin{aligned}&\frac{2 x}{2}=\frac{20}{2} \\&x=10\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26%5Cfrac%7B2%20x%7D%7B2%7D%3D%5Cfrac%7B20%7D%7B2%7D%20%5C%5C%26x%3D10%5Cend%7Baligned%7D%24%24)
Step 2 of 2
Solve the equation 2x-3=-17,
Add 3 on both sides of the equation 2x-3=-17,
![$2 x-3+3=-17+3$\\ $2 x=-14$](https://tex.z-dn.net/?f=%242%20x-3%2B3%3D-17%2B3%24%5C%5C%20%242%20x%3D-14%24)
Divide by 2 on both sides of the equation 2x=-14,
![$$\begin{aligned}&\frac{2 x}{2}=\frac{-14}{2} \\&x=-7\end{aligned}$$](https://tex.z-dn.net/?f=%24%24%5Cbegin%7Baligned%7D%26%5Cfrac%7B2%20x%7D%7B2%7D%3D%5Cfrac%7B-14%7D%7B2%7D%20%5C%5C%26x%3D-7%5Cend%7Baligned%7D%24%24)
Answer:
x + 12 ≤ 20 x=8
Step-by-step explanation:
Since Larissa is able to use it up for 20 hours and she has been using it for 12 hours now so add 12 with 12 and 20 with 12 then subtract the sum from the added numbers and you will get 8
So Larissa has 8 hours left on her watch before it needs to charge