Given :
Abraham has visited 10 countries already. He has a goal of visiting at least 50 countries.
He plans to achieve this goal by visiting 5 new countries per year (y) for the next several years.
To Find :
Which inequality and solution shows the amount of years that it will take for Abraham to meet his goal.
Solution :
Let, after x years Abraham visited y countries.
It is mathematically given as :
Now, it is given that his goal is minimum of 50 countries.
So,
Therefore, minimum years required to meet his goals are 8.
Hence, this is the required solution.
Answer:
(0,3/2)
Step-by-step explanation:
y-y1=m(x-x1)
y-0=3/8(x- -4)
y= 3/8x+ 3/2
3/2= y intersept
(0,3/2)= second point
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
Answer:
y = 4x + -9
Step-by-step explanation:
The y intercept which is -9, is the point in which the graph crosses the x-axis
In order to find the slope we need to identify two clear points on the graph.
- (0, -9)
- ( 1, -5)
Now that we have our two points we need to find the distance between them.
As you can see on the attachment the distance between the two points is 4 units up and 1 unit to the right, therefore the slope is 4/1 = 4.
Final Answer: y = 4x + -9
Answer:
∠TRS = 40°
Step-by-step explanation:
∠UTS is an exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠UTS = ∠TRS + ∠RST
9x - 15 = 3x + 16 + x + 9
9x - 15 = 4x + 25 ( subtract 4x from both sides )
5x - 15 = 25 ( add 15 to both sides )
5x = 40 ( divide both sides by 5 )
x = 8
∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°
