Answer:
Natalia's work is wrong.
Step-by-step explanation:
Natalia divided a decimal number by an entire number. Since division is a operation derived from multiplication, the best approach to check if work was good is multiplying the given result by denomination, that is:
1) 
Given.
2) 
Definition of addition.
3) 
Distributive property.
4) 
Definitions of multiplication and decimal number.
5) ![x = 72 +[2\cdot (10)^{-1}]\cdot 12](https://tex.z-dn.net/?f=x%20%3D%2072%20%2B%5B2%5Ccdot%20%2810%29%5E%7B-1%7D%5D%5Ccdot%2012)
Definition of division/Associative property.
6) ![x = 72 + [2\cdot 12]\cdot (10)^{-1}](https://tex.z-dn.net/?f=x%20%3D%2072%20%2B%20%5B2%5Ccdot%2012%5D%5Ccdot%20%2810%29%5E%7B-1%7D)
Associative property.
7) 
Definition of multiplication.
8) 
Definition of divsion.
9) 
Defintion of decimal number.
10) 
Definition of addition/Result
Natalia's work is wrong.
Answer:
66.42° between height and hypotenuse
23.58° between base and hypotenuse
Step-by-step explanation:
Using the concept of cosine and sine, we know that cosine of an angle is equal to the adjacent divided by hypotenuse.
Similarly, sine of an angle is given by opposite divided by hypotenuse
Tangent is given by opposite divided by adjacent
In rhis case, we use cosine
Therefore, the angle between the hypotenuse and height is 66.42°
To find the angle between base and hypotenuse, since it is a right angle triangle then the other angle will be 90-66.42=23.58°
24/74 simplified is 12/37
Answer:
x= 12
Step-by-step explanation:
Please see attached picture for full solution.
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
m = -1-(-4) / -4-(-2)
m = 3 / -2
m = -3/2
Now, y - y1 = m(x - x1)
y + 1 = -3/2(x + 4)
y + 1 = -3/2x - 6
y = -3/2x - 7
In short, Your Equation would be: y = -3/2x - 7
Hope this helps!
