Ellie drew δlmn, in which m∠lmn = 90°. she then drew δpqr, which was a dilation of δlmn by a scale factor of 1/2 from the center of dilation at point m. which of these can be used to prove δlmn ~ δpqr by the aa similarity postulate?

m∠p ≅ m∠l; this can be confirmed by translating point p to point l.
m∠p ≅ m∠n; this can be confirmed by translating point p to point n.
segment lm = one half segment pq; this can be confirmed by translating point p to point l.
segment mn = one half segment qr; this can be confirmed by translating point r to point n.

answer:

yes to all 3 questions.

step-by-step explanation:

3x^2(x-1)   +   -3x^3+ 4x^2-2x+1

= 3x^3 - 3x^2   - 3x^3 + 4x^2 - 2x + 1

=   x^2 - 2x + 1,

so a + b is a polynomial.

3x^2(x-1)   -   (-3x^3+ 4x^2-2x+1)

= 3x^3 - 3x^2 + 3x^3 - 4x^2 + 2x - 1

= 6x^3 - 7x^2 + 2x - 1.

so a - b is also a polynomial.

3x^2(x-1)( -3x^3+ 4x^2-2x+1)

= (3x^3 - 3x^2) ( -3x^3 + 4x^2 - 2x + 1)

= -9x^6 + 12x^5 - 6x^4 + 3x^3   + 9x^5 - 12x^4 + 6x^3 - 3x^2

= -9x^6 + 21x^5 - 18x^4 + 9x^3 - 3x^2.

so a * b is a polynomial.

answer:

4 1/3 yards

step-by-step explanation:

to find the difference between two points, simply subtract one value from the other in order.

next remove any negatives from your result, as the difference value is asking how many away from another one, and a negative value wouldn't be accurate in measuring this.

2/3 - 5 = -4 1/3, or 5 - 2/3 = 4 1/3

drop any negative in your result, and make sure to include the measurement.

4 1/3 yards.

answer:

10: 6=10*7: 6*7

10: 6=70: 42

70+42=112

white ball 70 and striped balls 42