We know that:
∠ABC=∠BCA=xº
∠BDC=∠BCD=xº
1) we have to find the angle ∠DBC:
∠BDC+∠BCD+∠DBC=180º
xº+xº+∠DBC=180º
2xº+∠DBC=180º
∠DBC=180º-2xº
2) we have to find the angle ∠ABD:
∠ABD=∠ABC-∠DBC
∠ABD=xº-(180º-2x)
∠ABD=xº-180º+2xº
∠ABD=3xº-180º
Answer: ∠ABD=3xº-180º
Given:
There are given that the two paths and one path are 2 miles from the road.
Explanation:
Suppose the distance from the playground to the road is x.
To find the value x, we need to use the cos function;
So,
From the cos function in the given right angle triangle:

Then,

Then,

Final answer:
Hence, the correct option C.
Answer:
Step-by-step explanation:
Hi Sorry this took so long!
1. True
A=hbb
/2 or Half of Base times Height.
2.False it would be 63
A= b * h
3.True
A=a+b/2 * h
Hope this helps!
Answer:
1.92 chocolates per in²
Step-by-step explanation:
Given that:
Dimension of conveyor belt :
6.5 inches long and 18 inches wide (6.5in * 18in)
Area of conveyor belt = 6.5 * 18 = 117 in²
Number of chocolate = 225
Number of chocolates per square inch :
225 / 117
= 1.9230769 chocolates
= 1.92 chocolates per in²