Answer:
see explanation
Step-by-step explanation:
consecutive even integers have a difference of 2 between them
for example 2, 4, 6 are 3 consecutive even integers
In general if we let the first integer be k then the next 2 integers are
k + 2 and k + 4
the sum of these equals 4 times the first integer, that is 4k, hence
k + k + 2 + k + 4 = 4k
3k + 6 = 4k ( subtract 3k from both sides )
6 = k
the 3 consecutive integers are
k = 6
k + 2 = 6 + 2 = 8
k + 4 = 6 + 4 = 10
that is 6, 8 and 10
note that sum = 6 + 8 + 10 = 24
and 4 × 6 = 24
confirming the sum of the 3 integers equals 4 times the first integer
For question 11
The median: 70
the mean: 66
Answer: r - 5 = 8
Step-by-step explanation:
From the question, we are informed that Skye ran r laps today at soccer practice while Nadine ran five fewer laps than Skye.
If Nadine ran eight laps at practice, the equation that can be used to find how many laps Skye ran will be:
r - 5 = 8
This means Skye ran 13 laps
Answer:
m∠CPD = 129.75°
Step-by-step explanation:
m∠APD + m∠APB = 180 since the angles are supplementary
x + 1 + 3x - 18 = 180
4x - 17 = 180
4x = 197
x = 49.25
m∠APB = 3(49.25) - 18 = 129.75
m∠APB = m∠CPD because the angles are vertical angles
m∠CPD = 129.75°
