What is the value of x? Enter your answer in the box.
1 answer:
Answer:
Step-by-step explanation:
We have been given a triangle. We are asked to find the value of x for our given triangle.
We can see that measures of both angles with red mark are equal.
The angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.
Using angle bisector theorem, we can set an equation as:
Therefore, the value of x is 5.
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Answer:
The required expression is:
- y = 0.5x + 3
Please check the attached graph too.
Step-by-step explanation:
The slope-intercept form of the linear or line function
where
- m is the rate of change or slope
- b is the y-intercept
In our case,
The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.
Thus, the y-intercept b = 3
It is stated that the cost of per kilometer distance = $0.5
Thus, the rate of change or slope m = 0.5
As y represents the cost and x represents the number of kilometers.
so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function
y = mx+b
y = 0.5x + 3
Thus, the required expression is:
- y = 0.5x + 3
Please check the attached graph too.
