X = games won
y = games lost
x + y = 72
x = 2y + 15
2y + 15 + y = 72
3y + 15 = 72
3y = 72 - 15
3y = 57
y = 57/3
y = 19 <=== lost games
x = 2y + 15
x = 2(19) + 15
x = 53 <=== won games
<u>Answer:</u>
The height of the ladder is 14.491 feet
<u>Explanation</u>:
Given the height is 11 feet
Base = 7 + 2 = 9 feet
Consider the ladder to be the hypotenuse
Applying Pythagoras Theorem,
Substituting the values in the above formula,
= 112 + 92
= 121 + 81
= 210
H = sqrt(210)
H = 14.491
Therefore, the height of the ladder is 14.491 feet
Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
Answer:
137 + x <= 170
Step-by-step explanation:
The following inequality will describe this scenario.
137 + x <= 170
the variable x in this scenario represents the total number of cars that you will purchase. This number is added to the number of toy cars that you already own which is 137. As long as this sum is less than or equal to 170 then your storage case will hold them.
Answer:
731.48
Step-by-step explanation:
you take 6 percent form 100 percent with give 94 percent
then you times 1200 by 94 percent 8 times to get answer
