The given coordinates are:
p1: (12,4) and p2: (-8,8)
Th x coordinate of the midpoint is calculated as follows:
Xmidpoint = (x1+x2) / 2 = (12+-8) / 2 = 4/2 = 2
The y coordinate of the midpoint is calculated as follows:
Ymidpoint = (y1+y2) / 2 = (4+8) / 2 = 12/2 = 6
Based on the above calculations, the midpoint of the segment with the given coordinates is (2,6)
Let's the length to be x,
then the width is 8x - 2.
Perimeter of a rectangle = 2*Width + 2*Length
Perimeter of the rectangle = 2(8x-2) + 2x = 16x - 4 + 2x = 18x - 4
Ar the same time, Perimeter of the rectangle = 88.
So, we can write
18x - 4 = 88
18x = 84
9x=42
x= 42/9 cm (length) or ≈ 4.67 cm (length)
8x - 2 = 8*42/9 - 2 ≈ 35.33 cm (width)
Answer:
- 109°, obtuse
- 131°, obtuse
- 53°, acute
- 124°, obtuse
Step-by-step explanation:
You are exected to know the relationships of angles created where a transversal crosses parallel lines.
- Corresponding angles are equal (congruent).
- Adjacent angles are supplementary, as are any linear pair.
- Opposite interior (or exterior) angles are equal (congruent).
The appearance of the diagram often gives you a clue.
You also expected to know the name (or category) of angles less than, equal to, or greater than 90°. Respectively, these are <em>acute</em>, <em>right</em>, and <em>obtuse</em> angles.
1. Adjacent angles are supplementary. The supplement of the given angle is 109°, so x will be obtuse.
2. Opposite exterior angles are equal, so y will be 131°. It is obtuse.
3. Opposite interior angles are equal, so w will be 53°. It is acute.
4. Corresponding angles are equal, so x will be 124°. It is obtuse.
Answer:
The answer is A and E
x2+(y−3)2=36
x^{2}+(y+8)^{2}=36x2+(y+8)2=36
