Answer:
<em>Answer: a = - 12</em>
Step-by-step explanation:
We have here two equations, one 18x + 12y = 36, the other ax - 8y = - 24;
Now if we were to consider making these two equations have a common y co - efficient, we would multiply the top equation by 2, the bottom consecutively by - 3. This would make a standard 24y ;
2 * ( 18x + 12y = 36 ), ⇒ 36x + 24y = 72
+ - 3 * ( ax - 8y = - 24 ) + - 3ax + 24y = 72
As you can see, all terms are equivalent, besides that of the co - efficient of x. Knowing that, it would be ax must be multiplied by - 3 to receive 36x, as the bottom equation is multiplied by - 3, where all terms are equivalent to the top terms;
- 3 * ax ⇒ 36x, - 3 * - 12x = 36x,
<em>Answer: a = - 12</em>
The greatest common factor of 28 and 72<span>, is </span><span>4</span>
The translation is not changing the angles, because the all the points were moved 3 units to the right and two units down, so all the lines preserved their slopes.
Then if the angles A and B were 110 and 70 the images preserve the same angles.
Answer:
53.13degrees
Step-by-step explanation:
Using the SOH CAH TOA identity'
Sin theta = opposite/hypotenuse
Given
Hypotenuse AC= 10
Opposite BC = 8
Required
theta
Substitute
Sin theta = BC/AC
Sin theta = 8/10
sin theta= 0.8
theta = arcsin0,8
theta = 53.13
Hence the requred angle is 53.13degrees
