Answer:
x = 11
Step-by-step explanation:
sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal
perimeter is the sum of all sides, so set up equation:
95 = 4x - 2 + 4x - 2 + x
95 = 8x - 4 + x
95 = 9x - 4
99 = 9x
x = 11
Answer:
She will earn £9.01 per hour after the pay rise
Step-by-step explanation:
Here, we want to calculate a value, given the percentage of the pay rise
From the question, the percentage is 6%
The pay rise is thus;
8.50 + 6% of 8.50
= 8.50 + (6*8.5)/100
= 8.50 + 0.51
= £9.01
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.


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