Answer:
Step-by-step explanation:
if (x,y)is mid point of two points (x1,y1) ,(x2,y2) then
x=(x1+x2)/2
and y=(y1+y2)/2
coordinates of M are ((-2+(-8))/2,(-7+7)/2)
or are (-5,0)
Answer: 25 nickels
Step-by-step explanation:
EQUATIONS:
quantity: n + d = 63
value: 5n + 10d = 505
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Divide thru the 2nd equation by 5 to get:
n + 2d = 101
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Subtract that from the 1st equation:
-d = -38
d = 38 (# of dimes)
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Substitute that into n+d=63 to solve for "n":
n + 38 = 63
n = 25 (# of nickels)
Answer:
4 and 5
Step-by-step explanation:
Let the numbers be x and y
If their sum is 9, hence;
x + y = 9 ....1
When reversed
10y+x = 2(10x+y)
10y+x = 20x + 2y
10y - 2y = 20x - x
8y = 19x
y = 10x/8 ...2
Substitute equation 2 into 1;
From 1;
x+y = 9
x +(10x/8) = 9
18x/8 = 9
18x = 72
x = 72/18
x = 4
Since x+y =9
y = 9-x
y =9-4
y = 5
Hence the numbers are 4 and 5
7:40 am because you subtract 8:00 by :20
Explanation:
1. <em>Alternate</em> angles are on opposite sides of the transversal. <em>Interior</em> angles are angles that are between the parallel lines. (<em>Exterior</em> angles are outside the parallel lines.)
Two pairs of alternate interior angles are ...
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2. <em>Corresponding</em> angles are ones that are on matching corners of the intersections of the transversal with the parallel lines. ∠2 and ∠6 are corresponding, because they both are on the Northeast corner of their respective intersections. In general, one will be an interior angle, and the other will be an exterior angle with respect to two parallel lines.
<em>Same-side interior</em> angles are on different corners of the intersection, and both are interior. (Same-side <em>exterior</em> angles are on different corners of the intersection, and both are <em>exterior</em>.)
Pairs of corresponding angles and pairs of same-side angles are on the same side of the transversal.
There are four pairs of corresponding angles:
- ∠1 and ∠5
- ∠2 and ∠6
- ∠3 and ∠7
- ∠4 and ∠8
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3. The two pairs of same-side interior angles are ...
If either pair has a sum of 180°, lines <em>p</em> and <em>q</em> will be parallel.
