Answer:
The slope of the line is 3 ---> m = 3
Step-by-step explanation:
To find the slope of the line, you can choose any two given points from the table. Let's do (1, 3) and (2, 6)
Slope formula:
m = (y2 - y1) / (x2 - x1)
m = (6 - 3) / (2 - 1)
m = 3 / 1
m = 3
Answer:
About 91%
Step-by-step explanation:
According to the box plot provided :
Total number of students = 40
Minimum weight = 152 pounds
Third quartile (Q3) = 245
The approximate percentage of students that weigh 245 kg or less
About 10 of the intervals out of the 11 coverage interval of the box plot fall between 152 and 254 ; Hence,
(10 / 11) * 100
90.90
= about 91 % of the total students weigh 245 kg or less
Answer:
5. B) 55
6. D) 15
Step-by-step explanation:
5.
One of the properties of a triangle is that the sum of angles in a triangle will always equal (180) degrees. One can apply this here, form an equation and solve for (x). Remember, a box around an angle indicates that the measure of the angle is (90) degrees.
90 + x + 35 = 180
Simplify,
125 + x = 180
Inverse operations,
x = 55
6.
This triangle is a right triangle, as mention earlier, a box around an angle indicates that the angle measure is (90) degrees. One of the criteria of a triangle to be considered a right triangle is that it must contain a (90) degree angle. One of the properties of a right triangle is that it follows the Pythagorean theorem, the Pythagorean theorem states the following,

Where (a) and (b) are the legs or sides adjacent to the right triangle, and (c) is the hypotenuse or side opposite the right angle.

Simplify,
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Inverse operations,
c = 15
Answer:
See explanation
Step-by-step explanation:
Given:
5⁴/25 = 5²
25 = 5²
Then,
5⁴ / 25
= 5⁴/5²
Note:
• multiplication sign means addition in indices
• Division sign means subtraction in indices
Both numerator and denominator have the same base, so you'll pick one of the bases and subtract the powers
So,
5⁴/5²
= 5^(4 - 2)
= 5^(2)
= 5²
Therefore,
5⁴ / 25 = 5²