Answer:
The value of x is 24.
Step-by-step explanation:
Given information: In ΔGHE, ED is angle bisector, EG=44.8 millimeters, GD=(x+4) millimeters, DH=35 millimeters, and EH=56 millimeters.
According to the angle bisector theorem, an angle bisector divide the opposite side into two segments that are proportional to the other two sides of the triangle.
In ΔGHE, ED is angle bisector, By using angle bisector theorem, we get
![\frac{GD}{DH}=\frac{EG}{EH}](https://tex.z-dn.net/?f=%5Cfrac%7BGD%7D%7BDH%7D%3D%5Cfrac%7BEG%7D%7BEH%7D)
![\frac{x+4}{35}=\frac{44.8}{56}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B4%7D%7B35%7D%3D%5Cfrac%7B44.8%7D%7B56%7D)
Multiply both the sides by 35.
![x+4=\frac{44.8}{56}\times 35](https://tex.z-dn.net/?f=x%2B4%3D%5Cfrac%7B44.8%7D%7B56%7D%5Ctimes%2035)
![x+4=28](https://tex.z-dn.net/?f=x%2B4%3D28)
Subtract 4 from both the sides.
![x=28-4](https://tex.z-dn.net/?f=x%3D28-4)
![x=24](https://tex.z-dn.net/?f=x%3D24)
Therefore the value of x is 24.
Answer:
_8.1* 7= _56.7
Step-by-step explanation:
Answer:
5.5
Step-by-step explanation:
Answer:
B is the correct answer
Step-by-step explanation:
Let’s write the equation for Tim according to the question, that is t = 14h
Now for sheri, looking at the table, we can see that in two hours, he sells 14 tickets . This means that he sells at an average rate of 7 tickets per hour
Modeling his selling rate, with t being the number of tickets and h being the number of hours, we have;
t = 7h
Tim’s rate is t/h = 14
While sheri’s rate is t/h = 7
We can see that Tim’s rate is double Sheri’s rate
Answer:
17 units
Step-by-step explanation:
Going from one point to the other, the change in x is 15 and that in y is 8. Therefore, applying the Pythagorean Theorem,
distance = √(225 + 64) = √289 = 17
The distance between the two points is 17 units.