Answer:
D.)
Step-by-step explanation:
Reflecting an image/shape over the x axis is reflecting it over a horizontal line, so the x coordinates will stay the same and the y coordinates will be the opposite. Therefore, the answer is D. Hope this helps!
Answer:
statement D is correct.
<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>
<em>Reason: Vertical Angles Theorem</em>
Step-by-step explanation:
Given that
3 ≅ ∠7 and ∠4 ≅ ∠8
from statement 2 because they are corresponding angles.
∠8 ≅ ∠5
because its vertical angles
The vertical angles theorem is about angles that are opposite each other.
So,
∠4 ≅ ∠8 and ∠8 ≅ ∠5
which means
<h3> ∠4 ≅ ∠5 </h3>
Hence,
∠3 = ∠7
∠4 = ∠5
they are known as interior alternative angles.
Let us assume that the number of pieces that can be cut = x
Length of each shelf board = 1 1/3 feet
= 4/3 feet
Total length of board available for making shelf = 18 foot
Then
4x/3 = 18
4x = 18 * 3
4x = 54
x = 54/4
= 13 2/4
As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.
Answer:
Real values of x where x < -1
Step-by-step explanation:
Above the x-axis, the function is positive.
The function is decreasing when the gradient is negative.
The function has a positive
coefficient, therefore the vertex is a local minimum;
This means the gradients are negative before the vertex and positive after it;
To meet the conditions therefore, the function must be before the vertex and above the x-axis;
This will be anywhere before the x-intercept at x = -1;
Hence it is when x < -1.
Answer:
area of the two faces plus sides
