Quadrilateral ABCD is inscribed in this circle.
1 answer:
Answer:
Step-by-step explanation:
The missing figure is attached.
For this exercise it is important to remember that, by definition, the opposite interior angles of an inscribed quadrilateral are supplementary, which means that their sum is 180 degrees.
Based on this, you can identify that the angle D and the angle B are opposite and, therefore, supplementary.
Knowing that, you can write the following equation:
Now you must solve for "x" in order to find its value. This is:
Then:
You know that:
Therefore, since you know the value of "x", you can substitute it into and then you must evaluate, in order to find the measure of the angle A. This is:
You might be interested in
<h2>Answer:</h2>
<em>You will bike 30.2 miles in the seventh day according to the prediction.</em>
<h2>Explanation:</h2>Here we have the following data, You bike
- 5 miles the first day of your training,
- 5.4 miles the second day,
- 6.2 miles the third day, and
- 7.8 miles the fourth day.
So we can know some facts:
- From the first day to the second day the number of miles increases:
- From the second day to the third day the number of miles increases:
- From the third day to the fourth day the number of miles increases:
By taking a look at the pattern, we can see that each day you increases the number of miles by a factor of 2 compared to the previous day. So:
- From the fourth day to the fifth day the number of miles increases:
- From the fifth day to the sixth day the number of miles increases:
Finally:
- From the sixth day to the seventh day the number of miles increases:
Answer:
Step-by-step explanation:
Divide R by 312 (R on top of the fraction, 312 on bottom) and set it equal to 93.