Answer:
Move downward by 7 units
Move leftward by 6 units

Step-by-step explanation:
Given
See attachment for grid
Required
The transformation from the current location to the new location
To do this, we pick two corresponding points on the current location and the new location.
We have:
-- Current location
-- New location
First, move A downwards by 7 units.
The rule to this is:

So, we have:


Next, move the above points leftward by 6 units.
The rule to this is:

So, we have:


Answer:
-56
Step-by-step explanation:
Formula to get determinant is::
![\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D%20%3D%20ad-bc)
0(0)-8(7)
0 - 56
-56
Answer:
21
Step-by-step explanation:
<em>Step 1: add 2 to 5</em>
=> 2 + 5
=> 7
<em>Step 2: Multiply the result by 3:</em>
=> 7 * 3
=> 21
Therefore the <u>final answer = 21</u>
Hope this helps!
we know that
The sum of the internal angles in the triangle must be
degrees
see the attached figure with letters to better understand the problem
Step 
<u>Find the measure of the angle x</u>
In the triangle ABC

solve for x



therefore
<u>the answer Part a) is</u>
the measure of angle x is 
Step 
<u>Find the measure of the angle z</u>
we know that
--------> by supplementary angles
substitute the value of x



therefore
<u>the answer Part b) is</u>
the measure of angle z is 
Step 
<u>Find the measure of the angle y</u>
In the triangle ACD

solve for y




therefore
<u>the answer Part c) is</u>
the measure of angle y is 
<h2>
Answer: x = -6</h2>
<h3>
Step-by-step explanation:</h3>
To solve for x, we have to find a way to make x the subject of the equation (get x on one side and everything else on the other side)
<h3>
</h3>
since -4 = (2/3)x [mutiply both sides by 3]
⇒ -4 × 3 = 2x [divide both sides by 2]
⇒ (-12/2) = x [simplify by dividing -12 by 2]
∴ x = -6