If all three pairs of corresponding sides are congruent, the triangles are congruent. This congruence shortcut is known as side-side-side<span> (SSS). Another shortcut is side-angle-side (SAS), where two pairs of sides and the angle between them are known to be congruent.</span>
Answer:
no
Step-by-step explanation:
Answer:
126.
Step-by-step explanation:
This is the number of combinations of 4 cards from 9 cards:
= 9C4
= 9! / 4! 5!.
A quick way of calculating this is
9*8*7*6
----------- = 9*2*7 = 126 combinations.
4*3*2*1
Answer:
student ticket = $11
(adult ticket = $15)
Step-by-step explanation:
Let a = price of adult ticket
Let s = price of student ticket
Given:
- On the first night she sold 12 adult tickets and 11 student tickets for $301 dollars
⇒ 12a + 11s = 301
Given:
- On the second night she made $134 selling 6 adult tickets and 4 student tickets
⇒ 6a + 4s = 134
Multiply 6a + 4s + 134 by 2 then subtract from 12a + 11s = 301 to eliminate a:
⇒ (6a + 4s = 134) × 2: 12a + 8s = 268
12a + 11s = 301
- (12a + 8s = 268)
--------------------------
3s = 33
⇒ s = 33 ÷ 3 = 11
Substitute found value of s into one of the equations and solve for a:
⇒ 12a + 11(11) = 301
⇒ 12a + 121 = 301
⇒ 12a = 180
⇒ a = 15
Therefore, the price of an adult ticket is $15 and the price of a student ticket is $11
Answer:
Step-by-step explanation:
POINTS:
- Out of every 15 students, 6 were successful in the task.
- The professors' success rate is 140% of the students' success rate.
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