Make variables for each
L = library books
P = telephone books
T = text books
so.... L+P = 2T
now we have to fill in numbers
Supplementary angles need to add up to 180 degrees.
Subtract Y from 180:
X = 180 - 156 = 24
X = 24 degrees
Answer:
C. 31
Step-by-step explanation:
3000 there are 3-4 errors
If we first divide 24,000 by 3,000, will get 8
then since there a error for each 3,000 books, we do 8 x 4 = 32 and 8 x 3 = 24
32 (8 x 4) the max amount of printing errors
24 (8 x 3) the minimum amount of printing errors
So we should expect 24-32 printing errors
Only answer between the numbers is c. 31
Hey there! I'm happy to help!
There were 5 tests needed to make an average of 77. These numbers have to add up to 385 (77×5) because that is what you divide by 5 to find the average which is 77.
Now, we want to find an average of 80 with 6 numbers. We multiply 80 and 6, showing us that the sum of these 6 numbers must be 480. Since 5 of these numbers are the same as with the 77 average, we know that one test score (the one Brady needs to get) is added to 385 to give us 480.
480-385=95
Therefore, Brady needs to earn a 95% on the last test to receive a B in the class.
Answer: After matching each set of conditions with the corresponding relationship between ∆ABC and ∆XYZ and the criterion that proves the relationship the matched pairs are as follows:
1 . AB = XY ,BC = YZ and ∠B ≅ ∠Y ⇒ ΔABC ≅ ΔXYZ by SAS criterion.
2 . AB = XY and ∠A ≅ ∠X and ∠B ≅ ∠Y⇒ ΔABC ≅ ΔXYZ by ASA criterion.
3 . ∠A=∠X,∠B=∠Y and ∠C=∠Z⇒ ΔABC and ΔXYZ are not necessarily congruent.[by AAA similarity criteria both triangles are similar but may not congruent ∵ every congruent triangles have equal sides and equal angles]
4 . AB = XY, BC = YZ and CA = ZX ⇒ ΔABC ≅ ΔXYZ by the SSS criterion.
