Step-by-step explanation:
The sequence is as follows :
-59 ,-67 ,-65 ,-53 ,-31 ,...
The first term = -59
The second term = -67
Common difference = second term - first term
To calculate the second term add (-8).
To calculate each additional term, increase the amount added by -8.
Answer:
C. Silver bikes
Step-by-step explanation:
Given that:
Number of red bikes at the bike shop = 11
Number of blue bikes at the bike shop = 3
Number of orange bikes at the bike shop = 4
Number of silver bikes at the bike shop = 12
Let us find the ratio of each bike with orange bikes to find the answer.
Orange bikes: Red bikes = 4 : 11
i.e. for every 4 orange bikes, there are 11 red bikes.
Orange bikes: Blue bikes = 4 : 3
i.e. for every 4 orange bikes, there are 3 blue bikes.
Orange bikes: Silver bikes = 4 : 12 = 1 : 3
<em>i.e. for every 1 orange bike, there are 3 silver bikes.</em>
<em></em>
Therefore, the answer is:
<em>C Silver bikes</em>
Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of 
by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of 
. Since the arc ST is part of the arc RST, and we know RS is 
, we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is 
, so:
