Answer: 16 hours
Step-by-step explanation:
The two equations are:
840 + 17x
and
760 + 22x
with x being the amount of hours
840 + 17x = 760 + 22x
-760
80 + 17x = 22x
-17x
80 = 5x
/5
16 = x
840 + 17(16) = 1,112
760 + 22(16) = 1,112
Answer:

Step-by-step explanation:
Factorize means convert and expression into multiple factors.
You have to find to factor that multiplied equals the original equation. Firts of all you split the expression of square X into 3X an X, so you guarantee that when you multiply 3X by X, the result is 3X^2.
After doing that, you need to think in numbers that equals the middle term (8X) and the constant (5).
-1 and -5 guarantee you that the multiplication of them results into +5, so you start with those numbers. Then you have to find where to put them in order to find the -8X.
-5 x X = -5X
-1 x 3X = -3X
And adding those two expresion you find the -8X that you need!
Please try to solve it multiplying term by term and check the final equation.
Answer:
z = 6
Step-by-step explanation:
We know that ...
sin(x) = cos(90 -x)
Substituting (9z-1) for x, this is ...
sin(9z -1) = cos(90 -(9z -1))
But we also are given ...
sin(9z -1) = cos(6z +1)
Equating the arguments of the cosine function, we have ...
90 -(9z -1) = 6z +1
90 = 15z . . . . . . . . . add (9z-1) to both sides
6 = z . . . . . . . . . . . . divide by 15
_____
<em>Comment on the graph</em>
The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...
sin(x) = cos(90 +360k -x) . . . . . for any integer k
Then the above equation becomes ...
90 +360k = 15z
6 +24k = z . . . . . . . . . for any integer k
The sine and cosine functions also enjoy the relation ...
sin(x) = cos(x -90)
sin(9z -1) = cos(9z -1 -90) = cos(6z +1)
3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z
z = 30 2/3
There u just needed to search the formula
Answer:
1) b and m
2) m∠8=m∠6
3) 160°
4)x=60°
Step-by-step explanation:
1) all straight lines sum to 180°
subtract the angles given from 180°
the other angle for b is 25°, while the other angle for m is 155°
so we can see that the angles for both lines are the same, hence they are parallel.
2) ∠8 should be the same as ∠6, ∠10 should be the same as ∠3, ∠7 same as ∠5 and ∠9 same as ∠4
in the options we are only given '∠8 should be the same as ∠6' as the correct answer, so we take that.
3) from the image we can see that both horizontal lines are parallel to each other, so both angles on the lines should be same, so ∠CET would be (2x-16)°
(2x-16)°+(7x+20)°=180°
we get x=20(nearest whole number)
∠CED=7x+20=7(20)+20=160°
4) since we need to show that they are parallel,
(2x+30)°=(4x-90)°
2x-4x=-90-30
-2x=-120
x=60
we then plug the x value into the two equations, in which we get 150° for both the angles [2(60)+30=4(60)-90] ⇒ (150=150)
I hope u understand it the way I put it.