The union of sets P = {5, 6, 7, 8, 9} Q = {1, 2, 3, 4, 5} is given by which of the following? {1, 2, 3, 4, 5, 6, 7, 8, 9} {1, 2,
vaieri [72.5K]
Answer: First option.
Step-by-step explanation:
Given two sets <em>A</em> and <em>B, </em>the union (<em>A</em>∪B) will be the set of elements which belong to either <em>A</em> or to <em>B</em> or to both.
Inf this case you have these two sets:
{
} and 
{
}
To find the union of these sets, put together the elements of the set <em>P</em> and the elements of the set <em>Q</em> (you need to remember that no element must be repeated).
Then, you get that the union of sets <em>P </em>and <em>Q</em> is:
∪{
}
This matches with the first option.
<h3>
Answer: 35.5</h3>
===============================
Explanation:
The triangles are identical. So this means that the triangle on the left has the horizontal portion of 50 ft, and the other sides are x ft (where x is a placeholder for a number).
Add up the sides for the either triangle. We have x+x+50 = 2x+50. This expression is the perimeter of one triangle. The perimeter of both triangles is simply us doubling that expression
combined perimeter of 2 triangles = 2*(perimeter of one triangle)
combined perimeter of 2 triangles = 2*(2x+50)
combined perimeter of 2 triangles = 2*(2x)+2*(50) ... distribute
combined perimeter of 2 triangles = 4x+100
We're told that the combined perimeters total 242 ft, so this means 4x+100 must equal 242
Solve for x
4x+100 = 242
4x+100-100 = 242-100 ... subtract 100 from both sides
4x = 142
4x/4 = 142/4 ... divide both sides by 4
x = 35.5
note: 35.5 feet = 35 feet, 6 inches because 1/2 ft = 0.5 ft = (0.5*12) inches = 6 inches
Answer:
step 1. Angle bisector theorem.
step 2. 14/6 = 21/ (3x - 12)
step 3. 14(3x - 12) =21(6)
step 4. 6x - 24 = 18
step 5. 6x = 42
step 6. x = 7.
The truck gets 6.25 miles per gallon of gas
6.25 x 20 = 125 miles
the answer is C. 20 gallons
2.4 because 4.8/2 is 2.4. 14.4/4 is also 2.4. Constant of variation is the unit rate
