Answer:
I believe that the answer is Angle DBC and angle BDA form a pair of alternate interior angles that are congruent, not a pair of vertical angles.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given the 2 equations
4x + 3y = 16 → (1)
7x + 6y = 31 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the term in y
- 8x - 6y = - 32 → (3)
Add (2) and (3) term by term
- x = - 1 ( multiply both sides by - 1 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
4(1) + 3y = 16
4 + 3y = 16 ( subtract 4 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (1, 4 ) → B
Answer:
the possible outcomes are :
- one (1)
- two (2)
- three (3)
- four (4)
- five (5)
- six (6)
Answer:
40 square yards
Step-by-step explanation:
The backyard is rectangular and it's dimensions are 7 yards long and 8 yards wide.
The area of a rectangle is given as:
A = L * W
where L = length
W = width
Therefore, the area of the backyard is:
A = 7 * 8 = 56 square yards
Elliana wants to plant sunflowers on 16 square yards of the backyard and the rest of the backyard will be used for a pool.
The area left for the pool will therefore be:
56 - 16 = 40 square yards
40 square yards will be left for the pool.
Answer:
Step-by-step explanation:
So we have the equation:
First, let's determine the domain restrictions. Recall that the radicand cannot be negative. In other words, it must be greater than or positive than 0. Thus:
Subtract 6 from both sides:
What this means is that our solutions must be greater than or equal to -6. If not, we ignore them.
So, let's subtract 5 from both sides from the original equation:
Square both sides:
Subtract 6 from both sides:
138 is greater than -6, so 138 is a solution and is the only solution.
And we're done!
