Answer:
x = 34
Step-by-step explanation:
Add together all three angles because together they equal 180 degrees
x + 12 + x + 100 = 180 Combine like terms
2x + 112 = 180
- 112 - 112 Subtract 112 from both sides
2x = 68 Divide both sides by 2
x = 34
Given:
A triangle has side lengths of (7.8v+2.6) centimeters, (5.3v+4.5) centimeters, and (2.4w-6.7) centimeters.
To find:
The expression which represents the perimeter, in centimeters, of the triangle.
Solution:
We know that
Perimeter of a triangle = Sum of length of all sides of the triangle

Now, combine like terms.


Therefore, the expression for perimeter, in centimeters, of the triangle is
.
Answer:
£35,020
Step-by-step explanation:
Amount paid to David after increase
= £34000 + 3% of £34000
= £34000 + 0.03*£34000
= £34000 + £1,020
=£35,020
<em>The answer is below...</em>
A.
Answer:
This is a geometric progresion that begins with 1 and each term is 1/3 the preceeding term
Let Pn represent the nth term in the sequence
Then Pn = (1/3)^n-1
From this P14 = (1/3)^13 = 1/1594323
5. The sum of the first n terms of a GP beginning a with ratio r is given by
Sn = a* (r^n+1 - 1)/(r - 1)
With n = 10, a = 1 and r = 1/3, S10 = ((1/3)^11 - 1)/(1/3 - 1) = 1.500