When two lines intersect,
four angles are formed. Each opposite pair are called vertical angles and are always
congruent while each angle with the angle adjacent to it is called linear pair and may not be congruent.
Properties of vertical angles includes:
i.) <span><span><span /><span>Vertical angles are always congruent, or of equal measure.
</span></span><span>
ii.) <span>Both pairs of vertical angles (four angles altogether) always sum to a full angle (360°).</span>
</span>
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Properties of linear pair includes:<span>
i.) Each pair of linear angles are
supplementary (add to 180°).</span></span><span /></span>
So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is:
((x1+ x2)/2, (y1 + y2)/2 {Average of the x coordinates, average of the y coordinates}.
For this problem we know the coordinates of the midpoint along with one of the endpoints.
So the x coordinate of the midpoint (9) must equal (12 + x2)/2.
That is: 9 = (12 + x2)/2 Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.
Answer:
Width = 52cm
Step-by-step explanation:
Step one:
given data
Area= 3276 cm squared
lenght= 63cm
Required
The width
Step two:
We know that
Area= L*W
substitute
3276= 63*W
divide both sides by 63
W= 3276/63
W=52cm
Answer:
x=-2
Step-by-step explanation:
x= -b/2a
b=4
a=1
x=-4/2*1
x=-4/2
x=-2
