The properties that apply true are:
1–as it implies the Pythagorean theorem; a^2+b^2=c^2
3–as it implies the basic rules of visualized geometry.
4–as the greater side(hypotenuse) is opposite the right angle.
NOT 2, as the accrue angles ARE complimentary.
Answer:
The fraction of the students play soccer = 
Step-by-step explanation:
Given - In the town of Destin, 2/3 of the students in middle school participate in organized sports after school.
To find - If 3/5 of them play soccer, what fraction of the students play soccer? Enter your answer in simplest form
Solution -
Let us assume that,
Total number of students in the middle school = 3x
Now,
Given that
2/3 of the students in middle school participate in organized sports after school.
So,
Total students participated in organized sports = (2/3)×3x
= 2x
⇒Total students participated in organized sports = 2x
Now,
Given that,
3/5 of them play soccer
So,
Total players who play soccer = (3/5)×2x
= 6x/5
⇒Total players who play soccer = 6x/5
Now,
The fraction of total students play soccer = (6x/5) ÷ (3x)
= 
= 
∴ we get
The fraction of the students play soccer = 
Answer:
4000
Step-by-step explanation:
We know one side of the smaller rectangle, 6ft. Therefore the longer side is 78/6 ft = 13ft.
The ratio of small to large side is 6:10, so the larger rectangles other length is (13 / 6) * 10 ft = 21.666... ft.
Thus the area of the larger rectangle is 21.666... * 10 = 216.666... ft^2, and hence to the nearest whole number it is 217 ft^2
The y-intercept is the y value when x = 0, or (0 , y)
Based on the graph, your y-intercept is at (0 , 2) or 2
The slope(m) can be found using the slope formula and plugging in 2 points:

But if you look at the answer choices, if the slope is positive, the line would be going up and to the right
If the slope is negative, the line would be going down and to the right
your answer is A