Answer:
8 ft²
Step-by-step explanation:
Given 2 similar triangles with ratio of sides = a : b, then
ratio of areas = a² : b²
Here the ratio of sides = 2 : 3, thus
ratio of areas = 2² : 3² = 4 : 9
let x be the area of Δ EFG, then by proportion
=
( cross- multiply )
9x = 18 × 4 = 72 ( divide both sides by 9 )
x = 8
The area of Δ EFG is 8 ft²
Let the number of children be c, and the number of adults be a.
c + a = 170 (total number of tickets)
Then the cost of each is: $5.90/child, $9.60/adult:
5.9c + 9.6a = 1269.40 (total sales)
Solving as 2 simultaneous equations, we first transform the first equation:
a = 170 - c
Substitute into the 2nd equation:
5.9c + 9.6(170 - c) = 1269.40
Solving gives c = 98, and a = 170 - 98 = 72. This means that 72 adult tickets were sold that day.
Answer: 6 years old.
Step-by-step explanation:
For this exercise let "x" represents your present age.
According to the information provided in the exercise, you know that In three years, Chad will be three times your present age.
Then, your age in three years can be represented with the following expression:

Knowing at that time Chad's age will be three times yours and you will be half as old as old as Chad, you can write the following equation to represent this situation:

Therefore, the final step is to solve for "x" in order to find its value.
You get that this is:

Answer:
150
Step-by-step explanation:
angles in a triangle add up to 180 degrees
angles on a straight line add up to 180 degrees