Store A sells 5 comics for $53.10. Store B sells 3 comics for $31.71. What is the difference in unit rate?
1 answer:
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Answer:
Step-by-step explanation:
It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
In this case we can idenfity that the angle is an exterior angle of the triangle QRT. Then:
Where:
Substituting values and solving for "x", we get:
Then:
The sum of the interior angles of a triangle is 180°, therefore:
Solving for , we get:
Answer:
Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.
Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:
Substitute these values into the formula.
Solve the exponents.
- (7)²= 7*7=49
- (√15)²=√15*√15=15
Add.
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
The third side length is <u>8.</u>