The value of x based on the tangent-secant theorem is: <u> 19.</u>
<em><u>Recall</u></em>:
- The secant-tangent theorem states that when a tangent and a secant meet outside a circle, the product of the secant length and it's segment outside the circle is equal to the square of the tangent segment length.
- Applying the tangent-secant theorem or rule, we will have this equation:
AB = 
EB = 4
x = 19
Therefore the <u>value of x is 19.</u>
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Answer:
Number of messages Salma sent = 7
Number of messages Brian sent = 16
Number of messages Chang sent = 32
Step-by-step explanation:
Let
Number of messages Salma sent = n
Number of messages Brian sent = n + 9
Number of messages Chang sent = 2(n + 9)
Total messages sent = 55
n + (n + 9) + 2(n + 9) = 55
n + n + 9 + 2n + 18 = 55
4n + 27 = 55
4n = 55 - 27
4n = 28
n = 28/4
n = 7
Number of messages Salma sent = n = 7 messages
Number of messages Brian sent = n + 9 = n + 9 = 16 messages
Number of messages Chang sent = 2(n + 9)
= 2(7 + 9)
= 2(16)
= 32 messages
The inequality:
48 < 6 n
6 n > 48
n > 48 : 6
n > 8
Answer: n = { 9, 10, 11 } ( 3 values )
We can prove this: 48 < 6*9 or 48 < 54, 48 < 60, 48 < 66
Answer:
x = 0
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
First, add 7 to both sides:
9x - 7 (+7) = - 7 (+7)
9x = -7 + 7
9x = 0
Next, divide 9 from both sides:
(9x)/9 = (0)/9
x = 0/9 = 0
x = 0 is your answer.
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Answer:
D(12) = 2,600 miles
It means a distance of 2,600 miles is already traveled from home after 12 hours
Step-by-step explanation:
To find D(12); all we have to do is to substitute the value of 12 for D
We have this as;
D(12) = 3260-55(12)
D(12) = 2,600
In the context of this problem, what this mean is that the distance away from home is 2,600 miles after traveling 12 hours
