Answer:
<u>4x = 20</u>
<u>x = 5</u>
<u></u>
Step-by-step explanation:
Have a nice day!
For this case we have that by definition, the equation of a line in the slope-intersection form is:
Where:
m: It is the slope
b: It is the cut point with the y axis
The slope is: 
Thus, the equation is of the form:
We substitute the given point and find "b":
Finally, the equation is:
Answer:
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
<span>46, 37, 16, 24, 47, 23, 19, 31, 25
put in order</span>
16, 19, 23, 24, 25, 31,37, 46, 47
mean = 25
LOWER QUARTILE = (16+ 19+ 23+ 24) / 4 = 20.5
answer
Lower IQR = 20.5
Answer:
B) Scalene Triangle
Step-by-step explanation:
This must be a scalene triangle because:
If it were a right triangle, there would be a right angle so A is out
If it were an equilateral triangle, all 3 angles would be equal to each other so C is out
If it were an isosceles triangle, 2 angles would be equal to each other so D is out
A scalene triangle consists of angles that add up to 180 degrees, but none of them are equal to each other. Therefore B is right.
