Answer:
Step-by-step explanation:
Kristin has 3 2/3 yards of plaid ribbon. Converting 3 2/3 yards to improper fraction, it becomes 11/3 yards of plaid ribbon.
She has 2 5/6 yards of polka - dot ribbon. Converting 2 5/6 yards to improper fraction, it becomes 17/6 yards of polka - dot ribbon.
The total number of yards of ribbon that Kristin has would be
11/3 + 17/6 = (22 + 17)/6 = 39/6 yards of ribbon.
Converting to decimal, it becomes 6.5 yards of ribbon. Approximating 6.5 to the nearest yards, it becomes 7 yards. This is because the first digit after the decimal point is 5 and thus, can be rounded up
Answer:
Step-by-step explanation:
If you have a square of side 
, its diagonal would be 
, and its area 
If the big square has a area of 900, this implies that its side is 
, so the two diagonal of squares 2 and 4 added together would be , therefore one diagonal wold be 
. and its side 
. The area (of one square) is 
finally the two areas combined (squares 2 and 4) would be 225
Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation(square roof of the variance) and n is the size of the sample.
In this problem, we have that:
So
The value of the test statistic is
Answer:
AB=AC, BD is shared side, angle 1 and angle 2 are equal as BD bisects angle ABC
So we have two sides and included angle equal.
- <em>If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.</em>
According to the rule above we can say triangles ΔABD ≅ ΔCBD
