Diagonals that bisect each other are perpendicular and form a right angle.
AEB is a right triangle.
We can apply the Pythagorean theorem:
c^2 = a^2+b^2
Where c is the hypotenuse (longest side) and a and b the other 2 legs.
Replacing:
AB^2 = AE^2+BE^2
AB^2 = 5^2+12^2
AB^2 = 25+144
AB^2 = 169
AB=√169 = 13
Lenght of AB= 13
Start by dividing both sides by 2 to get

. Doing the math on the right, keeping in mind that logs have an unwritten base of 10, gives us

. Rewriting this in exponential form is

. That means that x = 8. Not negative, only positive.
Complete Question
The complete is shown on the first uploaded image
Answer:
The correct option are option 2 and option 4
Step-by-step explanation:
From the question we are told that
The sample size is n = 12
The test statistics is 
The level of significance is 
The rejection region is t>1.796
The null hypothesis 
The alternative hypothesis is 
From the given values we see that t < 1.796(i.e 1.434 < 1.796 ) which implies that t is not within the rejection region
Hence we fail to reject the null hypothesis
The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.
Answer:
6
Step-by-step explanation:
M=2*2*3*5*5=300
N=2*2*2*3*3*7=504
Common factors between the two numbers are 2 and 3
The GCF(greatest common factor):
2×3 = 6
To see if it is true:
300/6 = 50
504/6 = 84
6 is the answer to the question.
Answer:
Step-by-step explanation:
time after 40 meters to 80 meters=12-7=5 s
distance=80-40=40 m
max. speed=40/5=8 m/s