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

a. m∠p ≅ m∠n; this can be confirmed by translating point p to point n.
b. segment lm = 2segment pq; this can be confirmed translating point p to point l.
c. m∠r ≅ m∠n; this can be confirmed by translating point r to point n.
d. segment mn = 2segment qr; this can be confirmed translating point r to point n.

The length of a rectangle is x times the square root of 100. the width is one-half y more than three-halves x. given that the area of the rectangle is 125 cm2, which equation could represent the rectangle in terms of x and y? a) 5xy − 15x = 125 b) 5xy + 15x = 125 c) 15x2 − 5xy = 125 d) 15x2 + 5xy = 125

Ahigh-altitude spherical weather balloon expands as it rises, due to the drop in atmospheric pressure. suppose that the radius r increases at the rate of 0.02 inches per second, and that r = 36 inches at time t = 0. determine the equation that models the volume v of the balloon at time t, and find the volume when t = 360 seconds. v(t) = 4π(0.02t)2; 651.44 in3 v(t) = 4π(36 + 0.02t)2; 1,694,397.14 in3 v(t) = four pi times the product of zero point zero two and t to the third power divided by three.; 4,690.37 in3 v(t) = four pi times the quantity of thirty six plus zero point zero two t to the third power divided by three.; 337,706.83 in3

Which expression is equivalent to (5x^7+7x^8) − (4x^4−2x^8)? a. 9x^8 + 5x^7−4x^4 b. 3x^8 + 7x^7 c. 12x^8 − 2x^4 d. 5x^8 + 5x^7 + 4x^4