Answer:
before midterm!
Step-by-step explanation:
I will try to research an answer in the meantime and i will add a comment to my answer when i find the answer to this
Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
Answer:
143
Step-by-step explanation:
x + 17 = 37
180 - 37 = 143
Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.

Rewriting it in terms of x° as follows,

Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,

Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,

To find the value of x, taking inverse sin.

Calculating the value,

Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .
Answer:
equation : y= -6 + 1
Step-by-step explanation: