Answer:
DE = 20 units
Step-by-step explanation:
<u><em>GIVEN</em></u><em> :-</em>
- D & E are the mid-points of AB & BC respectively.
- DE = 4x + 4
- AC = x + 36
<u><em>TO FIND</em></u><em> :-</em>
<u><em>FACTS TO KNOW BEFORE SOLVING</em></u><em> :-</em>
- The midsegment of a triangle is a line constructed by connecting the midpoints of any two sides of the triangle.
- The Triangle Midsegment Theorem tells us that a midsegment is one-half the length of the third side (the base), and it is also parallel to the base.
<u><em>PROCEDURE</em></u><em> :-</em>
According to Triangle Midsegment Theorem ,
![DE = \frac{AC}{2}](https://tex.z-dn.net/?f=DE%20%3D%20%5Cfrac%7BAC%7D%7B2%7D)
![=> 4x + 4 = \frac{x + 36}{2}](https://tex.z-dn.net/?f=%3D%3E%204x%20%2B%204%20%3D%20%5Cfrac%7Bx%20%2B%2036%7D%7B2%7D)
Multiplying 2 on both the sides ,
![=> 2(4x + 4) = x + 36](https://tex.z-dn.net/?f=%3D%3E%202%284x%20%2B%204%29%20%3D%20x%20%2B%2036)
![=> 8x + 8 = x + 36](https://tex.z-dn.net/?f=%3D%3E%208x%20%2B%208%20%3D%20x%20%2B%2036)
![=> 8x - x = 36 - 8](https://tex.z-dn.net/?f=%3D%3E%208x%20-%20x%20%3D%2036%20-%208)
![=> 7x = 28](https://tex.z-dn.net/?f=%3D%3E%207x%20%3D%2028)
![=> x = \frac{28}{7} = 4](https://tex.z-dn.net/?f=%3D%3E%20x%20%3D%20%5Cfrac%7B28%7D%7B7%7D%20%3D%204)
∴ DE = 4×4 + 4 = 20 units
The answer is C.
The y-intercept is 1, the slope is -1/3, and the shaded area is under the graph because y is LESS than -x/3 + 1.
99 days of parking would cost her $247.50
But you haven't posted any statements so I hope my answer helps you to choose the right statement.
Hope this helps :-)
Answer:
9 and -1
Step-by-step explanation:
a coefficient is a number attatched to a variable. 9 is next to k, as well as the negative sign, which represent -1.
Answer:
A
Step-by-step explanation: