Answer:
3/16
Step-by-step explanation:
Answer: -1 and 5.
Step-by-step explanation:
x - 4x = 5 : Move the constant to the left.
x^2 - 4x - 5 = 0 : Rewrite the expression.
x^2 + x - 5x - 5 = 0 : Factor the expressions.
x(x+1) - 5(x+1) = 0 : Factor the expression.
(x+1)(x-5) = 0 : Seperate into possible cases.
x + 1 = 0, x - 5 = 0 : Solve the equations.
x = -1, x = 5 : The equation has 2 solutions.
The <em><u>correct answer</u></em> is:
Corresponding (for both blanks)
Explanation:
Corresponding angles are angles that are in the same relative position to both the parallel line they are on and the transversal. In this case, SQU and WRS are both above the parallel line they are on and on the same side of the transversal; this makes them corresponding angles. This also means it is the corresponding angles postulate.
Answer:
Step-by-step explanation:
The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as
Area = length × width
Area of the rectangular room would be
12 × 15 = 180 feet²
The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet
Area if each tile is
4/3 × 4/3 = 16/9 ft²
The number of tiles needed to cover the entire floor is
180/(16/9) = 180 × 9/16
= 101.25
102 tiles would be needed because the tiles must be whole numbers.
Answer: C= -10
Step-by-step explanation: First step: simplify both sides of the equation
3c−2(c+10)=7c−5(c+2)
3c+(−2)(c)+(−2)(10)=7c+(−5)(c)+(−5)(2) (Distribute)
3c+−2c+−20=7c+−5c+−10
(3c+−2c)+(−20)=(7c+−5c)+(−10) (Combine Like Terms)
c + -20 = 2c - 10
c - 20 = 2c - 10
Step 2: Subtract 2c from both sides
c - 20 - 2c = 2c -10 - 2c
−c−20=−10
Step 3: Add 20 to both sides
−c−20+20=−10+20
−c=10
Step 4: Divide both sides by -1
-c/-1 = 10/-1
C=-10