Answer:
C. 98
Step-by-step explanation:
The sum of angles interior to a triangle is 180°, so you have ...
x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)
x + 82° = 180° . . . . . . . . collect terms
x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation
x = 98° . . . . . . . . . . . . . . do the arithmetic
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<em>Comment on the equation</em>
The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...
something = (something else)
When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...
(sum of angles) = 180°
Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.
Hello,
When you are looking for a ratio, it is simply a fraction.
In the numerator, we will put the amount of the increase which is 10.4 - 7.80 = 2.6.
In the denominator, we will put the original price of $7.80.
This gives us the ration of 2.6/7.8 or just 0.33 if we divide.
We can say there was a 33% increase (or one-third).
I hope this helps, Good luck!
MrEquation
The area of the rectangle is 42 units
The formula for calculating the area of a rectangle is expressed as:
From the figure, we will use the formula for calculating the distance between two points as shown:
For the length, we will use the coordinate points (5, 2) and (2, -1)
Length = √(-1-2)² + (2-5)²
Length = √9 + 9
Length = √18 = 3√2
Similarly for the width, we will use the coordinate points (5, 2) and (12, -5)
Width = √(-5-2)² + (12-5)²
Length = √49 + 49
Length = √98 = 7√2
Area of the rectangle = 3√2 * 7√2
Area of the rectangle = 42 units
Hence the area of the rectangle is 42 units
Learn more on area of rectangle here:brainly.com/question/2607596
a. 4 – commutative property
b. 5 – commutative property
c. 0 – identity property
d. 4 – associative property
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The commutative property lets you swap the order: (a) + (b) = (b) + (a).
The associative property lets you change the grouping: (a+b)+c = a+(b+c).
The identity property lets you add 0 without changing anything: (a) +0 = (a).
