Step-by-step explanation:
m<5 = 60 (<5 & 60deg < are vertical)
m<6 = 120 (<s 5 and 6 are a linear pair)
m<9 = 120 (<s 6 and 9 are vertical)
m<4 = 80 (<s 4 and 80 deg < are vertical)
m<7 = 100 (<7 and 80 deg < are linear pair)
m<10 = 100 (<s 7 and 10 are vertical <s)
m<8 = 60 (<s 5 and 8 are corresp <s)
m<3 = 80 (80 deg <3 are corresp <s)
m<2 = 40 (80 + 60 + m<2 = 180)
m<1 = 60 (<s 1 & 5 are alt int <s)
Answer:
![\Huge\boxed{\mathsf{\Rightarrow 10x+35}}](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7B%5Cmathsf%7B%5CRightarrow%2010x%2B35%7D%7D)
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY:</em></u>
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
A=5
B=2x
C=7
5*2x+5*7
Solve.
Multiply.
5*2x=10x
5*7=35
10x+35
![\Large\boxed{\mathsf{10x+35}}}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B%5Cmathsf%7B10x%2B35%7D%7D%7D)
Therefore, the final answer is 10x+35.
Hello.
The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.
The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.
Your answer is: "C.)"
I hope this helps!
Area = Length x Width
Substituting the given values:
16S^2 t = 8St^2 x Width
Manipulating for Width:
Width = 16S^2 t / <span>8St^2
Rewriting the squared terms in simplified form :
</span>Width = 16 x S x S x t / <span>8 x S x t x t
</span>Cancelling the like terms
Width = 16 x S / <span>8 x t
</span>Cancelling the numeric terms :
Width = 2S / <span>t</span>