Let, total number of T-shirts are x.
Number of blue T-shirts = (2/3)x = 2x/3 .
Number of blue shirts on sale = (3/5)(2x/3) = 2x/5 .
Number of medium sized blue shirts on sale = (1/5)(2x/5) = 2x/25 .
Fraction of the shop's T-shirts are blue T-shirts that are on sale and are size medium = = 2/25 . ( Number of medium sized blue shirts on sale divided by total number of T-shirts )
Hence, this is the required solution.
Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3. Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4. SAS criterion for congruence
5. Corresponding angles of congruent triangles are congruent
6. Converse of alternate interior angle theorem
7. Vertical angle theorem
8. SAS criterion for congruence
9. Converse of alternate interior angle theorem
As, , so
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
Answer:
The correct option is;
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)
Step-by-step explanation:
The given data can be presented as follows;
Cell Phone Towers
Customer (thousands) Towers
1) 5.25 273
2) 6.25 325
3) 7.25 377
4) 9.25 481
From the given data, we have the ratio Towers/Customer (thousands) given as follows;
For 1), we have;
273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)
For 2), we have;
325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)
For 3), we have;
377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)
For 4), we have;
481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)
Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).