Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:
Solve for x:
So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):
Solve for x:
So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
<h2>
Answer:</h2><h3>
x = -9</h3>
<h2>Step-by-step explanation:</h2>
<h3><u>Step 1</u>: Simplify both sides of the equation.</h3><h3 /><h3>1/3x+1=−2</h3><h3 /><h3><u>Step 2</u>: Subtract 1 from both sides.</h3><h3 /><h3>1/3x+1−1=−2−1</h3><h3 /><h3>1/3x=−3</h3><h3 /><h3><u>Step 3</u>: Multiply both sides by 3.</h3><h3 /><h3>3*(1/3x)=(3)*(−3)</h3><h3 /><h3>x=−9</h3>
Answer:
y = 3x
Step-by-step explanation:
x is number of cartons of eggs
y is cost
cost increases by 3 for every carton of eggs, so slope is 3
x and y intercepts are zero because there is no cost when there are no eggs
equation: y = 3x
Answer:
x = 52, y = 137 degrees.
Step-by-step explanation:
x = 180 - 90 - 38
x = 52 degrees (as there is 180 degrees in a triangle).
As they are the same side inner angles between 2 parallel lines:
x + (y - 9) = 180
52 + y - 9 = 180
y = 180 - 52 + 9
y = 137 degrees.
Answer:
68
Step-by-step explanation:
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