1. Use the distributive property to find an equivalent expression for each of the following: 3(x + y) −(2x + 1) −4(x + 3y) 2. Write an equivalent expression for each of the expressions below by combining the like terms: 2y + 7y 12x − x 3x2 + 4x2 − 8 3x + 2y + 8x − y 7x + z + 2y − 5x − 7y + 9z x + y − xy + 3y − 4xy 3. Simplify each of the following expressions: 3(x + 2) + 4(x − 2) 2(x + y) − 3(x + y) −(y + 8) + 4(6 − y) 2(4x + 3) − 3(x + 1) 4. Create at least 3 expressions equivalent to 2x + y. 5. Create at least 3 expressions equivalent to 5z.

answer: the two figures are congruent.

step-by-step explanation: they're congruent because figure efgh is reflected across the x and y axis but it was also rotated.

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solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

hi there!

question 1 answer: p/q can be terminating when q = 5^m * 2^n

question 2 answer: -1 and -1

question 3 answer: -4

question 4 answer: 5/12

hope this : )

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step-by-step explanation: