It is a similar triangle so the side length of the smaller triangle (x and x-2) are in the same ratio as the bigger triangle (2x+5 and 2x-1). As the ratio is the same, you can equate them and solve for x.
Answer:
The real distance from shop to store is 24 kilometers.
Step-by-step explanation:
Given:
Distance from the Bake Stars Cafe to the restaurant supply store on map = 3 cm
Also Given:
Scale of the map 1 cm = 8 km
We need to find the real distance from the shop to the store.
Solution:
Now we know that;
Distance from shop to store on map =3 cm
1 cm = 8 km
3 cm = Real distance from shop to store
By using Unitary method we get;
Real distance from shop to store = 
Hence The real distance from shop to store is 24 kilometers.
ø=Angle theta
a= length of opposite side a
h=length of hypotenuse h
Answer:
168.168 square inches
Step-by-step explanation:
Given data
From the question, we can deduce that the side of the square is 28in
Hence the area of the square is
Area= 28^2
Area= 784 square inches
Also, the diameter of the circle is 28 in
The radius = 14 in
Area of circle= πr^2
Area= 3.142*14^2
Area= 3.142* 196
Area= 615.832 square inches
Therefore the area of the shaded region is
= Area of Square - Area of Circle
= 784-615.832
=168.168 square inches