Answer:
131°
Step-by-step explanation:
Answer:
Step-by-step explanation:
Angle ABC is an inscribed angle intercepting arc AC. The rule is that the intercepted arc is twice the measure of the angle that intercepts it, so arc AC = 2(65) which is 130
Answer:
1. see attached diagram
2. The dimensions are 75 sqrt(2) by 75 sqrt(2) ft
3. The perimeter is 300 sqrt(2) ft
4. cannot fit 40 machines along the walls
Step-by-step explanation:
We are using a top down view. We have a square building with side length s. The diagonal is 150 ft
Using the Pythagorean theorem
s^2 + s^2 = 150^2
2s^2 = 22500
s^2 =11250
Taking the square root of each side
sqrt(s^2) = sqrt(11250)
s = sqrt(6225*2)
s = 75 sqrt(2)
The dimensions are 75 sqrt(2) by 75 sqrt(2) ft
The perimeter of a square is given by
P = 4s = 4(75 sqrt(2)) =300 sqrt(2) ft
The perimeter is 300 sqrt(2) ft
Assuming the machines are square ( that they are as wide as they are long) 75 sqrt(2) is approximately 106 ft so you can fit 10 along the wall
Putting them along the top and bottom walls = 20 machines
We are only left with 86 ft along the side walls
86/10 = 8 machines
machines * 2 walls = 16
We can fit 20+16 machines = 36 machines not 40
we conclude that when we evaluate in x = 7, the given expression is equal to 12.
<h3>
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How to evaluate the expression?</h3>
Here we have the expression:
6*(x - 5)
Which represents the product of 6 and the sum between x and negative 5.
We want to evaluate it in x = 7, that means just replacing the variable in the given expression by the number 7, and then solving the expression.
Let's do that:
6*(7 - 5) = 6*(2) = 12
In this way, we conclude that when we evaluate in x = 7, the given expression is equal to 12.
If you want to learn more about evaluating:
brainly.com/question/4344214
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It's just an equation, the number you're looking for is X, and then turn the words into an solvable equation with respect to X.
7X + 3 = 39 - 2X
9X = 39 -3 = 36
X = 4