Answer the following statement(s) true (T) or false (F)
1. If triangle ABC and triangle DEF are both 30°-60° triangles, then AB must be congruent to DE
2. An angle of degree measure 180° is a reflex angle.
3. Postulates are statements we assume to be true without proof.
4. Any three points are contained in exactly one plane.
5. A right triangle has two acute angles.
1. False:The triangles may be different sizes and AB and DE may be different lengths.
2. False: An angle of degree measure 180 is a straight angle while a reflex angle has measure
180° < n < 360°.
3. True
4. False—If the points are collinear they are contained in infinitely many planes.
5. True
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Find an equation for the line that passes through the given point and satisfies the given conditions.P = (-9, -1); parallel to v = -4i + 8j
A. y + 1 = (x + 4)
B. -4x + 8y = 80
C. 8x + 4y = -76
D. -4x + 8y = 28
Find the general form of the equation for the line with the given properties.Slope = ; y-intercept =
A. 2x - 3y = -5
B. y = x +
C. 2x + 3y = -5
D. y = x -
Convert as indicated. If necessary, round to the nearest tenth of a degree.129°F to degrees Celsius
A. 53.9°C B. 174.6°C C. 103.7°C D. 264.2°C
Solve the problem.From a boat on the river below a dam, the angle of elevation to the top of the dam is 32°3'. If the dam is 1968 feet above the level of the river, how far is the boat from the base of the dam (to the nearest foot)?
A. 3143 ft B. 3113 ft C. 3123 ft D. 3133 ft