Answer:
C. 22
Step-by-step explanation:
Inverse Alternate Interior Angles Theorem sttes that if two lines a and b are cut by transversal f so that the alternate interior angles are congruent, then a║b.
To prove that lines a and b are parallel, equate the measures of angles 96° and (6x-36)°:
To cover the backyard they need 44700 square foot of sod.
<u>Step-by-step explanation:</u>
Area of the backyard = 250 x 180 ft
= 45000 square ft.
Area of the swimming pool = 15 x 20 ft.
= 300 square ft.
Area of the backyard available for planting sod = 45000 - 300
= 44700 square ft.
To cover the backyard they need 44700 square foot of sod.
Answer:
<h3>B. 4 × 8.5 = 34</h3>
Step-by-step explanation:
The formula for calculating the perimeter of the square patio is expressed as;
P = 4L
L is the length of each side of the square patio
Given
L = 8.5 feet
Required
Perimeter in feet of Rocio's patio
Substitute the given parameter into the formula;
Perimeter = 4 * 8.5
Perimeter = 34ft²
Option B is correct.
To write the coefficients of the 8 terms, either start with a combination of 7 things taken 0 at a time and continue to 7 things taken 7 at a time or use the 7th row of Pascal’s triangle.
For the first term, write x to the 7th power and 3 to the 0 power. Then decrease the power on x and increase the power on y until you reach x to the 0 and y to the 7.
Simplify by evaluating the coefficients and powers 3
Step-by-step explanation:
Answer:
Follows are the solution to the given point:
Step-by-step explanation:
In point a:
¬∃y∃xP (x, y)
∀x∀y(>P(x,y))
In point b:
¬∀x∃yP (x, y)
∃x∀y ¬P(x,y)
In point c:
¬∃y(Q(y) ∧ ∀x¬R(x, y)) 
∀y(> Q(y) V ∀ ¬ (¬R(x,y)))
∀y(¬Q(Y)) V ∃xR(x,y) )
In point d:
¬∃y(∃xR(x, y) ∨ ∀xS(x, y))
∀y(∀x>R(x,y)) 
∃x>s(x,y))
In point e:
¬∃y(∀x∃zT (x, y, z) ∨ ∃x∀zU (x, y, z))
∀y(∃x ∀z)>T(x,y,z) ∀x ∃z> V (x,y,z))
