The inscribed angle theorem says that
Triangle AOC is isosceles because both AO and CO are radii of the circle and have the same length. This means angles CAO and ACO have the same measure and are congruent.
Angles ACO and COD are congruent because they form an alternating interior pair between the parallel lines AC and OD.
Taking all these facts together, we have
and since angle COB is made up of angles COD and DOB, these angles must be congruent, and so the arcs they subtend (CD and DB, respectively) must also congruent.
Answer:12.5
Step-by-step explanation:
First: Multiply 15 times 2 which equals 30.
Second: Add 30 plus 1 which equals 31.
Third: Subtract 31/2 minus 3 which will give you 12 1/2
The volume of the tower given the side length of each block and number of blocks used is 192 cubic inches
<h3>Volume of a cube</h3>
- Number of blocks used = 24
- Side length of each cube = 2 inches
Volume of each cube = s³
= 2³
= 2 × 2 × 2
= 8 cubic inches
Volume of the tower = Number of blocks used × Volume of each cube
= 24 × 8
= 192 cubic inches
Therefore, the volume of the tower given the side length of each block and number of blocks used is 192 cubic inches
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Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
Step-by-step explanation:
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.
Their rates is calculated as:
For Lin
Lin read the first 54 pages from a 270-page book in the first 3 days.
54 pages = 3 days
270 pages = x
Cross Multiply
54x = 270 × 3
x = 270 × 3/54
x = 15 days
For Diego
Diego read the first 100 pages from a 320-page book in the first 4 days.
100 pages = 4 days
320 pages = x days
Cross Multiply
100x = 320 × 4
x = 320 × 4/100
x = 12.8 days
For Elena
Elena read the first 160 pages from a 480-page book in the first 5 days.
160 pages = 5 days
480 pages = x days
Cross Multiply
160x = 480 × 5
x = 480 × 5/160
x = 15 days
If they continue to read every day at these rates, who will finish first, second, and third?
Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time
Madison worked for 7.5 hours before school and 15 hours after school
<em><u>Solution:</u></em>
Given that, Madison works a job before and after school
Amount earned before school = $ 11.50 per hour
Amount earned after school = $ 11.75 per hour
Amount earned last week = $ 262.50
Let "x" be the hours worked before school
Given that, she worked twice as many hours after school
So, number of hours worked after school = 2x
Therefore, we can say,
Total amount earned = (Amount earned before school)(number of hours) + (Amount earned after school)(number of hours)
Number of hours worked after school = 2x = 2(7.5) = 15
Thus Madison worked for 7.5 hours before school and 15 hours after school
