$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d
$0.05(27-d) + $0.10(d) = $1.90
1.35 - 0.05d + 0.10d = $1.90
1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11
n = 27 - 11
n = 16
$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90
Answer: R = (4, 5)
Step-by-step explanation: Midpoint is simply the center of a line. So, the equation for it is ((x1+x2)/2, (y1+y2)/2). Hence for this,
x coordinate- (6+x)/2=5
x=4
y coordinates- (9+y)/2=7
y=5
And therefore R is (4, 5)
To assess yourself.... To know yourself more..
You can prove they're congruent by SAS Postulate. You see that there are two alternate interior angels and one pair of congruent sides.