Answer:
No
Step-by-step explanation:
Triangles have 180 degrees total. Once you take away 90 from it being a right triangle, you have 90 degrees left. For an angle to be right or obtuse it would have to be over 90 degrees, therefore, A right triangle has one right angle and two acute angles.
Compatible numbers are close in value to actual number and make it easy to do mental math.
Answer:
The work shown here is correct.
It simplifies to 17x + 36y + 5.
Step-by-step explanation:
In this situation, there are four different items being purchased. This means their will be a sum of 4 terms. Each term will be the number of the item times its cost. When added together, the four terms will represent the total cost.
7 pens at $x is 7x
5 pens at $(2x+3) is 5(2x+3)
y pens at $6 is 6y
(3y-1) pens at $10 each is 10(3y-1)
All together the cost expression is 7x + 5(2x+3) + 6y + 10(3y -1).
Simplify by applying the distributive property and combine like terms.
7x + 10x + 15 + 6y + 30y - 10
17x + 36y + 5
We know that
a(n)=4n+1
To find the sum of the first n<span> terms of an arithmetic series
use the formula
</span><span><span>Sn</span>=<span>n(<span>a1</span> + <span>an</span>)/2
</span></span>a1--------------> is the first term
an--------------> is the last term
n--------------- > <span>is the number of terms
</span>we have that
a1------------> 4*(1)+1=5
a30----------> 4*(30)+1=121
n------------- > 30
S30=30*(5 + 121)/2=1890
the answer is 1890