Total cost of lessons : 305.50
Deduct the first two lessons which costs 12.75 each from the total cost.
12.75 * 2 = 25.50 is the total cost of the first two lessons.
305.50 - 25.50 = 280 total cost from the 3rd lesson upwards.
Since, it was stated that after the first two lessons, all other lessons cost 20 each lesson. We divide the remaining 280 by 20 to get the number of lessons taken.
280 / 20 = 14 lessons.
To get the total number of lessons Leah has; we add the first two lessons to the quotient, which is 14 lessons.
2 lessons + 14 lessons = 16 lessons in total.
To check: Multiply the corresponding lessons to its cost and check if the total cost arrived is equal to the total cost stated in the problem.
2 lessons * 12.75 = 25.50
14 lessons * 20.00 = 280.00
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16 lessons 305.50
Answer:
40 and a half
Step-by-step explanation:
Divide 486 by 12.
12 goes into 486 40 whole times.
Answer:
Step-by-step explanation:
Given: DE║BC
To prove: 
Statements Reasons
1). DE║BC 1). Given
2). ∠1 ≅ ∠4, ∠3 ≅ ∠4 2). Corresponding angles theorem
3). ΔADE ~ ΔABC 3). AA Similarity theorem
4). 
4). Corresponding sides are proportional
5). 
5). Segment addition postulate
6). 
6). 
7). 
7). Subtract 1 from both sides
8). 8). Take the reciprocal of both sides
a x=12
the sum of angles in a triangle is 180
53+39+4+7x=180
96+7x=180
7x=86
x=84/7
x=12
b. sum of angles in a triangle is 180
5x+(6x-5)+75=180
5x+6x-5+75=180
11x+70=180
11x=180-70
11x=110
x=110/11
x=10
that's how to solve it
