Answer:
B
Step-by-step explanation:
Let's make a table:
Term 1: 3 toothpicks
Term 2: 4 toothpicks
Term 3: 5 toothpicks
Term 4: 6 toothpicks
Term 5: 7 toothpicks
Term N = N + 2 toothpicks
Answer:
A inch
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Because alternate interior angles are congruent in parallel lines, the angle next to the 25° in the right triangle is 85 - 25 = 60° which makes the other angle in the right triangle 180 - 90 - 60 = 30°. Since they form a straight angle, we can write x + 30 + 85 = 180 → x + 115 = 180 → x = 65°.
Answer:
2x + y - 1 = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x - 2y + 4 = 0 ( subtract x + 4 from both sides )
- 2y = - x - 4 ( divide all terms by - 2 )
y =
x + 2 ← in slope- intercept form
with slope m = 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 2 , thus
y = - 2x + c ← is the partial equation of the perpendicular line
To find c substitute (1, - 1) into the partial equation
- 1 = - 2 + c ⇒ c = - 1 + 2 = 1
y = - 2x + 1 ← in slope intercept form
Subtract - 2x + 1 from both sides
2x + y - 1 = 0 ← in general form
Answer: x=8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−x−1=15
3x+−x+−1=15
(3x+−x)+(−1)=15(Combine Like Terms)
2x+−1=15
2x−1=15
Step 2: Add 1 to both sides.
2x−1+1=15+1
2x=16
Step 3: Divide both sides by 2.
2x
/2
=
16
/2
x=8