Answer:
97
Step-by-step explanation:
Answer: Graph shifts 4 units to the left
Explanation:
I'm assuming you meant to say y = |x+4|
If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.
Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|
Answer:
100°
Step-by-step explanation:
A triangle is a polygon shape with three sides. Triangles are of different types such as obtuse, scalene, equilateral, isosceles etc.
In triangle ABC:
70° + 50° + ∠C = 180° (sum of angles in a triangle)
120 + ∠C = 180
∠C = 180 - 120
∠C = 60°
Since ∠C is bisected into ∠ACD and ∠BCD, hence:
∠ACD = ∠BCD = ∠C / 2
∠ACD = ∠BCD = 60 / 2
∠ACD = ∠BCD = 30°
In triangle ACD:
∠A + ∠ACD + ∠ADC = 180° (sum of angles in a triangle)
50 + 30 + ∠ADC = 180
∠ADC + 80 = 180
∠ADC = 100°
A nickel is equal to 5 cents or 0.05 dollars.
A quarter is equal to 25 cents or 0.25 dollars.
Let number of nickels be = n
Let number of quarters be = q
...........(1)
As it is given, there are 3 more nickels than quarters so equation becomes,
................(2)
Plug in the value of 'n' from (2) in (1)
![0.05(q+3)+0.25q=2.85](https://tex.z-dn.net/?f=0.05%28q%2B3%29%2B0.25q%3D2.85)
= ![0.05q+0.15+0.25q=2.85](https://tex.z-dn.net/?f=0.05q%2B0.15%2B0.25q%3D2.85)
![0.30q=2.70](https://tex.z-dn.net/?f=0.30q%3D2.70)
![q=9](https://tex.z-dn.net/?f=q%3D9)
As
we get, ![n=9+3=12](https://tex.z-dn.net/?f=n%3D9%2B3%3D12)
Hence, there are 12 nickels and 9 quarters.