Answer:
D. 15
Step-by-step explanation:
<em>Use proportions.</em>
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Ok so to find which sides are congruent we need to know their lengths.
To find the length we need the distance formula between two point ->
√(X2-X1)∧2 +(Y2-Y1)∧2
Ok lets find the first side PQ
P(-1,3) Q(2,-1)
X1 Y1 X2 Y2
√(2-(-1)∧2 + (-1-3)∧2 = 5
Now PR
P (-1,3) R (5,3)
X1 Y1 X2 Y2
√(5-(-1))∧2 + (3-3)∧2) = 6
Now the last side QR
Q (2, -1) R (5,3)
X1 Y1 X2 Y2
√(5-2)∧2 + (3-(-1))∧2 = 5
From the above work we see that PQ and QR are congruent becuase they are equal PQ=QR
Also the opposite angles of these sides are congruent. Hope this helps :).
Answer:
CP = 6
Step-by-step explanation:
The length of segment BC is given by the Pythagorean theorem:
AC² = AB² +BC²
(√61)² = 5² + BC² . . . . . fill in the given numbers
61 -25 = BC² = 36 . . . . .subtract 25
BC = 6 . . . . . . . . . . . . . . take the square root
Since the center of the circle is on AB and is tangent to BC, it must pass through point B. That is, segment BC of length 6 is one of the tangent lines from point C. The other one, to point P, must be the same length, so ...
CP = 6
143
because the equation would be 11x+x=156. so if you add like terms it would be 12x=156. then 156/12 is 13. 13 is how many miles Early biked.
so dory biked 11 times as many miles, so you would solve 13(Early's miles) times 11(Dory's miles). 13x11=143
so dory biked 143 miles last month
