The answer is: A) They are relatively prime. This is because both of them aren't divisible by any other number than 1. (or 0 if you really want to do that)
The parts that are missing in the proof are:
It is given
∠2 ≅ ∠3
converse alternate exterior angles theorem
<h3>What is the Converse of Alternate Exterior Angles Theorem?</h3>
The theorem states that, if two exterior alternate angles are congruent, then the lines cut by the transversal are parallel.
∠1 ≅ ∠3 and l║m because we are: given
By the transitive property,
∠2 and ∠3 are alternate interior angles, therefore, they are congruent to each other by the alternate interior angles theorem.
Based on the converse alternate exterior angles theorem, lines p and q are proven to be parallel.
Therefore, the missing parts pf the paragraph proof are:
- It is given
- ∠2 ≅ ∠3
- converse alternate exterior angles theorem
Learn more about the converse alternate exterior angles theorem on:
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The answer is 10 ..............................
Answer:
65°
Step-by-step explanation:
Radii CA and CB are perpendicular to tangent lines AT and BT, so

Since angle BAT is equal to 65°, angle CAB has measure

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

The sum of the measures of all interior angles in triangle is always 180°, so

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

Answer:
Tammy
Step-by-step explanation:
Tammy read 7.75 hours last month. Kelley read 7.69 hours
Jim read 7.075 hours.
We would arrange the hours of reading from smallest to the highest
7.075, 7.69, 7.75
The person who spent the most time reading is the person with the highest number of hours that was spent reading. This person is Tammy.
Therefore, person who spent the most time reading is Tammy because she read for 7.75 hours.