∠ADC = 112°
∠ADC =6x + 7 + 12x - 3
Equate both:
6x + 7 + 12x - 3 = 112
Solve for x :
6x + 7 + 12x - 3 = 112
Combine like terms:
18x + 4= 112
Take away 4 from both sides:
18x = 108
Divide both sides by 18:
x = 6
Find ∠ADB:
6x + 7 = 6(6) + 7 = 43
Answer: ∠ADB = 43°
Answer:
A function is a rule that takes an input, does something to it,
and gives a unique corresponding output.
There is a special notation, called "function notation," that is used to represent this situation:
if the function name is f , and the input name is x ,
Step-by-step explanation:
Answer:
√65/2 square units
Step-by-step explanation:
Find the diagram attached
Area of the triangle = 1/2 * base * height
To get the base and height, we will use the distance formula;
Area of the triangle LMN = 1/2 * LM * MN
For MN
Given the coordinate M(3, 2) and N(1, 3)
MN = √(3-2)²+(1-3)²
MN = √1²+(-2)²
MN = √1+4
MN = √5
For LM;
Given the coordinate L(1, -1) and M(3, 2)
LM = √(2-(-1))²+(3-1)²
LM = √(2+1)²+(2)²
LM = √3²+(2)²
LM = √9+4
LM = √13
Area of the triangle LMN = 1/2 * √13 * √5
Area of the triangle LMN = √65/2 square units
300,000 pennies will equal $3,000 dollars