Point Mis the midpoint of AB. AM = 3x + 3, and AB= 83 – 6.
2 answers:
Answer:
Step-by-step explanation:
AM = 3x + 3
AB = 8x - 6
Point M is the midpoint of AB.
So, AM = AB/2
3x + 3 = (8x - 6)/2
Multiplying both sides by 2.
2(3x + 3) = 8x - 6
Expanding brackets.
6x + 6 = 8x - 6
Subtracting 6x from both sides.
6 = 2x - 6
Adding 6 to both sides.
12 = 2x
Dividing both sides by 2.
6 = x
Let x = 6 for the length of AM.
3(6) + 3
18 + 3
21
You might be interested in
9514 1404 393
Answer:
34
Step-by-step explanation:
Maybe you want to evaluate ...
16 - 14 ÷ 2 + (3 +2)²
The parentheses are evaluated first.
16 -14÷2 +5²
Then the exponential term.
16 -14÷2 +25
The division is evaluated next.
16 -7 +25
Finally, the sum is evaluated.
= 9 +25
= 34
____
Your calculator can do this arithmetic for you.
Answer:
The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Step-by-step explanation:
We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.
The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.
The significance level, as a storng evidence is needed, is α=0.01.
The estimated standard deviation is:
As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.
For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.
Then, we calculate the t-value for this sample:
As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.