Answer:
x = 60°
Step-by-step explanation:
The circle is 360°, thus
2y + y = 360
3y = 360 ( divide both sides by 3 )
y = 120°
The tangent- secant angle ABT is one half the measure of the intercepted arc AB, thus
x = 0.5 × 120° = 60°
320 has the same value as 32 tens.
Answer:
Jogging 6th time.
Step-by-step explanation:
We have been given that Vicki started jogging the first time she ran she ran 3/16 mile the second time she ran 3/8 mile and the third time she ran 9/16 mile.
We can see that the distance Vicki covers each time forms a arithmetic sequence, where 1st term is 3/16.
We know that an arithmetic sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
n = Number of terms in sequence,
d = Common difference.
Let us find common difference of our given sequence as:

Since Vicki needs to cover more than 1 mile, so we nth term of sequence should be greater than 1.

Let us solve for n.





We can also write next terms of our sequence as:

Therefore, Vicki will run more than 1 mile when she is jogging for 6th time.
Answer:
24ft.
Step-by-step explanation:
Formula: (LxW)/2
6x8=48
48/2=24
answer; 24