What is AE? Enter your answer in the box?
1 answer:
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
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Answer:
The bus drives 84 miles
Step-by-step explanation:
The question relates to relationship between average speed and time
The given parameters are;
The time duration in which the bus drives = 3/2 hours = 1.5 hours
The average speed of the bus = 56 mph
The formula average speed is given as follows;
Therefore, we have;
The total distance driven = Average speed × The time duration of travel
The total distance driven = The distance the bus drives
Substituting the given values, gives;
The distance the bus drives = 56 miles/hour × 1.5 hours = 84 miles
The distance the bus drives = 84 miles.
Question 1.
x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.
Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.
Question 3.
The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =
For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option
x - 7 > - 8
Adding 7 to both sides, we get:
x - 7 + 7 > - 8 + 7
x > -1
Thus the answer to the inequality is option Fourth.
Question 2.
A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:
x is greater than 66
x > 66
So, option 1st gives the correct answer.
Question 3.
The tiles are square shaped and area of a square can be calculated as the square of its Length.
Area of square = (Length)²
If we are given the Area, we can find the length as:
Length =
For Tile A, the length will be:
So length is a Rational number
For Tile B, the length will be:
So length is a Rational number
For Tile C, the length will be:
So, Length is not Rational.
For Tile D, the length will be:
Length is not Rational
Thus, the lengths of Tile A and Tile B are rational only.
Therefore, the correct answer is 1st option