Answer:
x = 11
Step-by-step explanation:
right triangle ABC
using Pythagoras' identity
BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
BC = = 25
Since the triangles are congruent then corresponding sides are congruent.
ST = BC , that is
3x - 8 = 25 ( add 8 to both sides )
3x = 33 ( divide both sides by 3 )
x = 11
Answer:
Step-by-step explanation:
Given
1. 5 units down translation
2. Reflection in the x-axis
Required
Determine the resulting function g
1. 5 units down translation
This is defined by the rule:
A down translation is:
Where b is the number of units.
So, we have:
2. Reflection in the x-axis
For a function f(x),
When reflected over the x-axis, it becomes -f(x)
So:
Answer:
The probability that a point randomly chose in the rectangle is in the triangle is , so the answer would be A
Step-by-step explanation:
To find the probability of a random point being in the triangle, we must find the area of the triangle and the area of the rectangle.
The area of the rectangle can be found by multiplying the width by the height, so the equation would be
The area of the the triangle can be found by the formula
This means that the equation would look like
Now that we have both the area of the triangle and the rectangle, we can create a ration of the area of the triangle to that of the rectangle. It would look like this
This would simplify to
