Answer:
<h3>x = 12</h3>
Step-by-step explanation:
Given the triangle MNO which is extended through point O to point P, we are given the followings;
Interior angles;
∠MNO=(3x+11)
∠OMN=(2x+20)
Exterior angle;
∠NOP=(8x−5)
To find x, we will use the theorem, "The sum of the interior angles is equal to the exterior"
Hence;
3x+11+2x+20 = 8x - 5
5x + 31 = 8x - 5
Collect like terms;
5x - 8x = -5-31
-3x = -36
x = -36/-3
x = 12
Hence the value of x is 12
First, I would find the total area that Lisa needs to paint.
26x7=182 square feet
If a gallon of paint will cover 350 square feet, we will need to find out how many are needed to cover the fence.
g=gallons
350g=182
g=0.52 gallons of paint are needed
The best and most correct answer among the choices provided by the question is the first choice "<span>clockwise rotation and translation" </span>I hope my answer has come to your help. God bless and have a nice day ahead! Feel free to ask more questions.
Answer:
317.6 feet
Step-by-step explanation:
the length of the diagonal can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
280² + 150²
= 78,400 + 22,500
= 100,900
take the square root of 100,900
= 317.648 feet
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
317.6 to the nearest tenth
