Answer:
(-8,-7)
Step-by-step explanation:
assuming that the top part of the y-axis is north and the bottom part is south
we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)
C is the midpoint of AB
Whereas D is the midpoint of AC
So AD + DC =CB is true
AD + DC = AC is true
and AD+DC+CB=AB is true
Therefore all statements apart from A are true.
I hope you understand.
Good luck
The2nd one is the best one
Answer: The actual distance between them is 750 miles.
Step-by-step explanation:
We are given that ,
On a map, 2 inches represents 300 miles.
We know that the map is a similar design of an actual place.
So the length on map and the actual distance should be proportional.
Two points are separated by 5 miles on the map .
Let the actual distance be x.
By Equation of proportionality , we have
![\dfrac{x}{5}=\dfrac{300}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B5%7D%3D%5Cdfrac%7B300%7D%7B2%7D)
![\dfrac{x}{5}=150](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B5%7D%3D150)
![x=150\times5=750](https://tex.z-dn.net/?f=x%3D150%5Ctimes5%3D750)
Therefore , the actual distance between them is 750 miles.
The sum of angles in a triangle is 180 degree
First angle + second angle + third angle = 180
From the given diagram , AC = BC
The angle opposite to the sides are also equal
So angle A and angle B are equal
Angle A = 50 so angle B = 50 degree
angle B = 2x = 50
Divide both sides by 2
So x= 25 degree
Angle A + angle B + angle C = 180
50 + 50 + 5y + 10 = 180
100 + y + 10 = 180
110 + 5y = 180
Subtract 110 on both sides
5y = 70
now divide both sides by 5
The value of y = 14