Answer:
ASA
Step-by-step explanation:
Triangle ABD is congruent to triangle BDC by ASA because angle B in ABD is 30 degrees. Then they give you BD which equals BD by the reflexive property. And finally angle D in ABD is also 30 degrees. In triangle BCD, angle B is 30 degrees, BD = BD, and angle D in BCD is 30 degress. So we have an angle (B), side (BD), and another angle (D)
(4-4x)(x-3)
4x-12-(4x^2)+12x
(-4x^2)+16x-12=(pxq)(x)
You just need to use your test-taking skill to eliminate the wrong answers here.
There is no such thing as a "Congruent Angles Postulate," so the last two choices can be eliminated.
The AA Similarity Postulate refers to triangles, not angles, so the second choice can be eliminated.
That only leaves the (correct) first choice.
Answer:
210 mph
Step-by-step explanation:
speed of jet = x
headwind: speed = x - 27
time taken = 1134.6/(x - 27)
tailwind: speed = x + 27
time taken = 1469.4/(x + 27)
same amount of time:
1134.6/(x - 27) = 1469.4/(x + 27)
Cross multiply,
1134.6(x + 27) = 1469.4(x - 27)
1134.6x + 30634.2 = 1469.4x - 39673.8
334.8x = 70308
x = 210 mph
