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Ordered triple are (4,-2,1)</h2>
Step-by-step explanation:
We need to find ordered triple of 2x + 5y - 3z = -5 , 3x + 2y + 7z = 15 and 5x - 4y + 6z = 34
2x + 5y - 3z = -5 -------------------------eqn 1
3x + 2y + 7z = 15 -------------------------eqn 2
5x - 4y + 6z = 34 -------------------------eqn 3
eqn 1 + eqn 2
5x + 7y + 4z = 10 -------------------------eqn 4
eqn 4 - eqn 3
11y - 2z = -24 -------------------------eqn 5
eqn 1 x 3
6x + 15y - 9z = -15 -------------------------eqn 6
eqn 2 x 2
6x + 4y + 14z = 30 -------------------------eqn 7
eqn 7 - eqn 6
-11y + 23z = 45 -------------------------eqn 8
eqn 5 + eqn 8
21 z = 21
z = 1
Substituting in eqn 8
-11y + 23 x 1 = 45
-11 y = 22
y = -2
Substituting in eqn 1
2x + 5 x -2 - 3 x 1 = -5
2x = 8
x = 4
Ordered triple are (4,-2,1)
Answer:
C. 248°
Step-by-step explanation:
The arc measure of a full circle is 360 degrees.
Arc XZ measures 112 degrees.
Arcs XZ and XWZ add to a full circle, or 360 degrees.
The measure of arc XWZ = 360 degree - 112 degrees = 248 degrees
Janet has $17.25. 17 quarters is 425 cents overall, or $4.25. $13+$4.25=$17.25.
Because the triangles are similar, their corresponding sides will have the same ratio. Side corresponding to PQ is AC and side corresponding to RC is PR. Thus:
RC/PR = AC/PQ
5.1 / 3.4 = 4.2 / PQ
PQ = 2.8 inches
