Answer:
x = 4
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of the remote interior angles.
18x +5 = (46) +(-1 +8x)
10x = 40 . . . . . . . . . . . . . subtract (5+8x) from both sides, simplify
x = 4 . . . . . . divide by 10
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<em>Additional comment</em>
The exterior angle is (18)(4) +5 = 77°. The marked unknown interior angle is -1+(8)(4) = 31°. The sum of the two remote interior angles is 46°+31° = 77°. The unmarked interior angle is 180°-77° = 103°.
The GCF is 2
Pull out 2 from each number:
2(2n + 5)
Hope this helps!
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Principal (P)= $2,500
Interest rate= 4%
Number of periods= 2 years
<u>First, we will determine the interest earned using the simple interest formula:</u>
I= P*r*t
I= 2,500*0.04*2
I=$200
<u>Now, using the compound interest formula:</u>
I= [P*(1 + r)^t] - P
r= 0.04/2= 0.02 (semi annual interest rate)
t=2*2= 4 semesters
I= [2,500*(1.02^4)] - 2,500
I= $206.08
For this case, the first thing to do is to model the rectangular sandbox as a rectangular prism.
The volume of the prism is given by:
Where,
- <em>w: width
</em>
- <em>l: length
</em>
- <em>h: height
</em>
Therefore, replacing values we have:
We observed that:
Therefore, the sandbox is not completely filled.
Answer:
the sandbox will hold 
of sand
Jodi purchase is not enough sand to fill the sandbox to the top.
we must avoid the bracket
a,4(3-×)...........given
4×3-4×........distributive property r applied
12-4×...........simply equivalent equation
Step-by-step explanation:
that is it
