To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2
Answer:
a)
b) 
c) Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
Step-by-step explanation:
Information given
represent the mean for 1
represent the mean for 2
represent the population standard deviation for 1
represent the population standard deviation for 2
sample size for the group 1
sample size for the group 2
z would represent the statistic
Hypothesis to test
We want to check if the two means for this case are equal or not, the system of hypothesis would be:
H0:
H1:
The statistic would be given by:
(1)
Part a
Replacing we got:

Part b
The p value would be given by this probability:

Part c
Since the p value is higher than the significance level provided we have enogh evidence to FAIL to reject the null hypothesis and we can't conclude that the true means are different at 5% of significance
<span>1. 6 (378) = 2268 = (189 + 189)6
Properties are:
Addition, you can have 6 + 107 = 113 </span>
<span>Commutative Property by moving: 107 + 6 = 113 </span>
<span>Associative Property by grouping: (3 + 3) + (100 + 7 ) = 113 </span>
<span>Distributive Property by allotting: 2 (3) + 107 = 113 </span>
<span>Multiplication, you can have 6 x 107 = 642 </span>
<span>Commutative Property by moving: 107 x 6 = 642 </span>
<span>Associative Property by grouping: (3 + 3) x (100 + 7 ) = 642 </span>
<span>Distributive Property by allotting: 2(3) x 107 = 642<span>
</span></span>
Answer:
D.
Step-by-step explanation:
Choices A., B., and C. are always true.
Choice D. is true only for rectangles with congruent sides, which are squares.
Answer: D.