Answer:
Step-by-step explanation:
perp. -5
y + 7 = -5(x - 4)
y + 7 = -5x + 20
y = -5x + 13
Answer:
a = 85° , b = 30° , c = 65°
Step-by-step explanation:
∠ a and 85° are alternate angles and are congruent , so
a = 85°
∠ c and 65° are alternate angles and are congruent , so
c = 65°
a, b and c lie on a straight line and sum to 180° , that is
a + b + c = 180°
85° + b + 65° = 180°
150° + b = 180° ( subtract 150° from both sides )
b = 30°
We add 0.00055+0.00104 together.
0.00104+0.00055= 0.00159
I hope this helps!
No decimal can be whole number but the rational number
Step-by-step explanation:
We can write this word problem as two variables. Let us assume that:
x = Natalie's age
y = Fred's age
The first part of the word problem is that "If you add Natalie's age and Fred's age, the result is 39." Therefore:
Natalie's age + Fred's age = 39
x + y = 39
This will be our first equation. The second equation can be derived from the statement that "If you add Fred's age to 4 times Natalie's age, the result is 78." Therefore:
(4 times Natalie's age) + Fred's age = 78
4x + y = 78
We can now form a system of equations and solve for both x and y:

The simplest way to solve would be using the Substitution method, as seen here:
x + y = 39
y = 39 - x
4x + y = 78
4x + (39 - x) = 78
3x + 39 = 78
3x = 39
x = 13
x + y = 39
13 + y = 39
y = 26
Remember that x = Natalie's age and y = Fred's age. Therefore, Natalie's age is 13 years old and Fred's age is 26 years old.