Points P, Q, R, and S are collinear. Point Q is between P and R, R is between Q and S, and PQ =RS. If PS = 21 and PR = 16, what
is the value of QR? QR = (Simplify your answer.)
1 answer:
<em>Greetings from Brasil...</em>
→ Collinear points = points belonging to the same line
→ PQ is said to be equal to RS. Let’s call this distance X
→ let's call QR Y
With this information and the figure in the annex we can conclude that:
<em>refer to attached </em>
PQ = X
QR = Y
RS = PQ = X
then
PR = PQ + QR
16 = X + Y i
PS = PR + RS
21 = 16 + X
X = 5 <em> putting in i</em>
16 = X + Y
16 = 5 + Y
Y = 11
So,
<h2>PQ = 5</h2><h2>QR = 11</h2><h2>RS = 5</h2>
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