Answer:A
Step-by-step explanation:
To find the measure of angle ABC in triangle ABC, we can use the properties of perpendicular bisectors.
Since the perpendicular bisector of side AB intersects the extension of side AC at point D, we know that AD = DB. Therefore, triangle ABD is an isosceles triangle.
In an isosceles triangle, the angles opposite the equal sides are also equal. So, we have:
∠ABD = ∠ADB
Since ∠CBD = 16° and ∠ACB = 118°, we can find ∠ADB as follows:
∠ADB = 180° - ∠CBD - ∠ACB
= 180° - 16° - 118°
= 46°
Since ∠ABD = ∠ADB, we have:
∠ABD = 46°
Now, we can find ∠ABC:
∠ABC = 180° - ∠ABD - ∠ACB
= 180° - 46° - 118°
= 16°
Therefore, the measure of ∠ABC is 16 degrees. So, the correct answer is A. 16 degrees.
The number of laps Javia run on Tuesday to run 3/8 of a mile is 3.
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Javia ran 8 laps around a track to run a total of 1 mile.
Number of miles in 1 lap = 1/8
Tuesday Javia ran 3/8 of a mile
Now, number of laps = 3/8 × 1/8
= 3 laps
Therefore, the number of laps Javia run on Tuesday to run 3/8 of a mile is 3.
To learn more about the unitary method visit:
brainly.com/question/22056199.
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