Answer:
x = 11
Step-by-step explanation:
Since we are given triangle PQR is similar to triangle PTU, we can write a proportion to connect the side lengths:
PQ / PT = QR / TU = PR / PU
We don't really care about QR and TU because the are irrelevant to the problem, so we can remove them:
PQ / PT = PR / PU
Now, we can substitute the values given by the diagram:
70 / 30 = 49 / (x + 10)
We can cross multiply,
70(x + 10) = 30 * 49
And divide by 70 on both sides(too lazy to multiply :P)
x + 10 = 3 * 7
x + 10 = 21
x = 11
Answer:
B
Step-by-step explanation:
40 ÷ 5 = 8 ( how much 1 cd costs )
8 × 2 = 16
Answer:
isosceles obtuse triangle
Step-by-step explanation:
The attached graph shows a plot of the three lines.
The triangle is an isosceles obtuse triangle in the 2nd quadrant.
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It is convenient to let a graphing calculator plot these lines. If you're going to plot them by hand, it usually works best to choose values of the variables for the variable that has the largest coefficient (3 in two of the equations). That way, you're not trying to plot coordinates that contain fractions.
To prove <QPR = <QRP we have to prove ΔPTR ≅ ΔRSP
Let T be the mid point of PQ and S be the mid point of QR
line joining T and S is TS parallel to PR
Triangle PTR and triangle RSP have same base, one side equal and between same parallel are congruent.
Therefore ΔPTR ≅ ΔRSP by CPCTC <QPR = <QRP
So we can cnclude that PQR is an isosceles triangle.