Answer:
x=20
Step-by-step explanation:
Let = a 30 day period
The first equation is 50 - 2x (because you start with $50 and subtract 2 for each 30 day period)
The second equation is 40-1.5x
Set them equal to each other: 50 - 2x = 40 - 1.5x
Solve for x:
50 - 2x = 40 - 1.5 x
+2x +2x
-----------------------
50 = 40 + 0.5 x
-40 -40
-------------------
10 = 0.5 x
20 = x
So there will be 20 30-day periods until the cards will be equal in value.
Check: After 20 periods, 50 - 2(20) = $10 left
40 - 1.5(20) = also $10 left
Answer:
The size of side x can range from 0.5 < x < 16.5.
The size of side x cannot take on values 0 and 16.5, but it ranges between those two values for side x to complete a triangle with those two other sides.
Step-by-step explanation:
Complete Question
What is the range of possible sizes for side x? One Side is 8.5 the other is 8.0.
Solution
With the logical assumption that the three sides are to form a triangle
Let the two sides given be y and z
And the angle between y and z be θ
The angle θ can take on values from 0° to 180° without reaching either values.
As θ approaches 0°, (x+z) becomes close to equaling y. (x + z) < y
It can never equal y, because θ can never be equal to 0°, if a triangle is to exist.
Hence, x > (z−y)
x > 8.5 - 8.0
x > 0.5
As θ approaches 180°, x approaches the sum y+z, θ can never equal 180° if a triangle is to exist, so x never equals (y+z).
Hence x < (y+z)
x < 8 + 8.5
x < 16.5
Hope this Helps!!!
Answer: 65°
Step-by-step explanation: In the photo
<h2>
Answer:</h2>
the other factors are: (x+3) and (2x−3)
Step-by-step explanation:
