Answer:
41
Step-by-step explanation:
the sum of all 3 terms must equal 180 because triangles have 180 degrees. knowing this we can add all the terms together to get 4x+16=180. subtract 16 on both sides to isolate the variable and you get 4x=164 divide both sides by 4 to solve and you get 41
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2
Answer:
10
Step-by-step explanation:
This question is asking you for the value of the expression when you replace x and y with it's numerical values.
X is equivalent to -5 which means we can replace x with -5, same story with y but different number.
Now that you know this, you can put this into your calculator to spit out a result.
![\frac{5|(-5)|-3(25)}{-5}=10](https://tex.z-dn.net/?f=%5Cfrac%7B5%7C%28-5%29%7C-3%2825%29%7D%7B-5%7D%3D10)
Answer:
The value of x is 6
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Q is the mid-point of the segment PR
∵ Q is the mid-point of segment PR
∴ Q divided the segment PR into two equal parts
- When point Q divided the segment PR into two equal parts,
then the two parts are PQ and QR
∴ PQ = QR
∵ PQ and QR are 7x - 16 and 4x + 2
∴ 7x - 16 = 4x + 2
- Subtract 4x from both sides
∴ 7x - 4x - 16 = 2
∴ 3x - 16 = 2
- Add 16 to both sides
∴ 3x = 2 + 16
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
∴ The value of x is 6
Answer: The 300th customer receives both the free meal and the free hat.
Step-by-step explanation:
300 is the least common multiple of 12 and 25,
The 600th customer also receives both.