If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
The absolute value of a number is its distance from 0. An easy way to think about this is that the absolute value turns a negative number positive, and has no effect on positive numbers. In this case, we are taking the absolute value of a negative number. This means we should simply make the number positive. Therefore, the answer is
Answer:
1/5x+51=2x+42
Step-by-step explanation:
1/5 of x, the number, plus 51 is equal to 2 times the number plus 42.
To find new price after discount we are going to find 10% of $13,999.00, then subtract the discount amount from $13,999.00.
13,999.00 × ¹⁰/₁₀₀ = $1,399.90
13,999.00 - 1,399.90 = $12,599.10
Therefore, new price = $12,599.10
Answer:
377 meals
Step-by-step explanation:
If you choose to have all three courses, then there are 6 choices for the first course, 8 for the second, and 5 for the last, making a total of 6*8*5=240 different possible meals.
If you choose two courses, then there are 3 options. You can pick appetizer and main meal, which would give you 6*8=48 possibilities. You can pick main meal and dessert, which would give you 8*5=40 possibilities. Finally you can pick appetizer and desert, which would give you 6*5=30 possibilities. In total these are 118 different possible meals with two courses.
Finally, you could choose 1 course, which would give you 6+8+5=19 different meals.
In total, this is 240+118+19=377 meals
