Answer:
50°
Step-by-step explanation:
Transformation is the movement of one point from its initial location to a final location. If an object is transformed, all its points are transformed. Types of transformation is reflection, dilation, rotation and translation.
If an object is translated, it maintains its shape and size as well as the length of its sides and angles, only the location changes.
If polygon LMNP with ∠M of 50° is translated 5 units right and 4 units down to a new point, M' has the same angle measure. Hence ∠M' = 50°
Answer:
Step-by-step explanation:
<u>Given system:</u>
- 2x - y = - 2
- 15x - 2y = - 7
<u>Solve by elimination, multiply the first equation by - 2 and add up the equations:</u>
- -2(2x - y) + 15x - 2y = - 2(- 2) - 7
- -4x + 2y + 15x - 2y = 4 - 7
- 11x = - 3
- x = - 3/11
<u>Find the value of y:</u>
- 2( - 3/11) - y = - 2
- -6/11 - y = - 2
- y = 2 - 6/11
- y = 1/11
<u>Solution is:</u>
- <em>None of the answer choices is matching this solution. Something must be wrong with the given equations.</em>
To the nearest foot, it would be 23 feet. I found this using the Pythagorean Theorem of a (squared) + b (squared) = c (squared). If you have 24 as the hypotenuse, you have to square this and subtract 64 (8*8) from it. That will equal 512. So you have to find the square root of that which is 22.62, which will round to 23 feet.
The radius is half the diameter of the circle. If the radius gets larger then the whole circle grows. When the circle gets larger, the area gets larger too.
The new square has length: 10 + l, where l is the original length of the square, and it's area is (10 + l)^2;
So, we solve the equation: 3 x l^2 = (10 + l)^2;
Then, 3 x l^2 = 100 + 20 x l + l^2;
Finally, 2xl^2 - 20xl - 100 = 0; / ÷2;
l^2 - 10l - 50 = 0 (we use the quadratic equation formula);
The only positive solution is l = 5(1+ \sqrt{3} );
