Answer:
It increases x3.
Step-by-step explanation:
Let's say the fraction to begin with was 100/100. Ignore the fact that it isn't fully reduced and it is an improper fraction.
10% of 100 is 10, so the numerator is now 90 (decrease=get smaller; 100-10=90).
70% of 100 is 70, so the denominator is now 30 (decrease=get smaller; 100-70=30).
Our fraction is now 90/30 which, when fully reduced, equals 3.00. Since 100/100 equals 1.00, it has increased by 2.00 (3x bigger).
Data:
l and m are parallel lines
QR and ST are perpendicular in R
Angle 1 is 63°
The angle formed by perpendicular lines is a right angle (90°)
Angles 1 and 3 are alternate angles: angles that occur on opposite sides of a transversal line that is crossing two parallel.
Alternate angles are congruent, have the same measure.
The sum of the interior angles of a triangle is always 180°. In triangle QRT:
Use the equation above to find the measure of angle 2:
Then, the measure of angle 2 is 27°
In order to find the speed at which the boat is traveling, we divide the distance it has traveled by the time elapsed:
2.5/20=0.125 miles/minute
Next, we want to find how long it took for the boat to travel 10 miles. Since it travels 0.125 miles every minute, we just divide:
10/0.125=80
Thus, it took 80 minutes for the boat to reach the bridge
The answer is (-∞.∞).
Draw out a number line. Plot 0 and -4 on the number line.
Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0
Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.
Note how the two graphs overlap to cover the entire real number line
So if we have x≤0 or x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)
This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept
Side note: if you change the "or" to "and", then the solution to x≤0 and x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.
To know more about graphs
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Answer:
e): m=18.50d + 25
Step-by-step explanation:
