Answer:
m = 8
Step-by-step explanation:
-2(5 + 6m) + 16 = -90
Start by distributing -2 inside the parentheses. This means you will multiply everything inside the parentheses (5 + 6m) by -2.
-10 - 12m + 16 = -90
Simplify the left side of the equation by combining like terms.
6 - 12m = -90
Subtract 6 from both sides of the equation to isolate the term containing the variable m and to move all other terms to the other side (right) of the equation.
-12m = -96
Divide both sides of the equation by -12 to isolate and solve for m.
m = 8
If polygons ABCD and EFGH are similar, then their perimeters most likely are also similar. Polygon EFGH also have the same perimeter with polygon ABCD. Having similar polygons is referred as congruent polygons. <span>Two figures are said to be congruent when they have the same shape and
size or if one object is a mirror image of the other object.<span> </span></span>
Simplify 3 to 12
Divide 3
1 to 4
So the answer is 1 car accident in 4 month
~JZ
Hope it helps you out there
Answer:
You would win the race
Step-by-step explanation:
You would have to swim for 2 minutes and 40 seconds which is the same as 160 seconds.
The opponent would swim
Which is161.5 seconds
This means you would win
Answer:
The sum of first 50 terms is 3425.
Step-by-step explanation:
Let the first tem of A.P be 'a' and it's common difference be 'd'
Thus the 16th term of the A.P is given by
Now we know that the sum of first 'n' terms of the A.P is given by
![S_n=\frac{n}{2}[2a+(n-1)d]\\\\5=\frac{5}{2}[2a+4d]\\\\1=a+2d..........(ii)](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D%5C%5C%5C%5C5%3D%5Cfrac%7B5%7D%7B2%7D%5B2a%2B4d%5D%5C%5C%5C%5C1%3Da%2B2d..........%28ii%29)
Solving equation 'i' and 'ii' simultaneously we get
Thus 
Thus the sum of first 50 terms euals
![S_{50}=\frac{50}{2}[2\times -5+(50-1)3]\\\\S_{50}=3425.](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cfrac%7B50%7D%7B2%7D%5B2%5Ctimes%20-5%2B%2850-1%293%5D%5C%5C%5C%5CS_%7B50%7D%3D3425.)
