Answer:
- |t -(-5)| = 1.5
- [-6.5, -3.5] = [minimum, maximum]
Step-by-step explanation:
The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:
|t -(-5)| = 1.5
This is equivalent to two equations:
In each case, the equation is solved by subtracting 5 from both sides:
- t = -6.5 . . . . minimum allowed temperature
- t = -3.5 . . . . maximum allowed temperature
Answer:
Neither
Step-by-step explanation:
Since we only know the measure of the angles, we can only say the triangles are similar, not congruent. We need at least one side measurement on each triangle to determine if the triangles are congruent. And it would have to be the same side measurement. Then we could use ASA (Angle side Angle) or AAS ( Angle Angle side) to determine congruence.
The triangles are similar
62+39 +79 = 180
The three angles are the same
<A = 62 = <X = 62
<B = 39 = <Y = 39
<C = 79 = <Z = 79
This is shown by AAA similarity
Answer:
20+5x=
Step-by-step explanation:
Let the position of the airport be A, the point 160 miles north be B, and the point 85 miles east of that (i.e. the location of the plane) be C. Then ABC forms a right-angled triangle.
<span>tan BAC = 85/160 </span>
<span>BAC = arctan (85/160) </span>
<span>= arctan 0.531 (approx.) </span>
<span>= 27.98° (approx.) </span>
<span>So C is N 27.98° E from A. </span>
<span>The plane should fly S 27.98° W to get to the airport.
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