Answer:
a. The number of people that receive the text in the fourth round are 10³ people
b. The total number of people that receive the text are 1.1111 × 10⁴ people
Step-by-step explanation:
a. The given information are;
The number of people the text is sent to in the first round = 1
In the second round, the number of people the text is sent to by people in the first round = 10
In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people
In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people
The number of people that receive the text in the fourth round = 10³ people
b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people
The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people = 11111 people = 1.1111 × 10⁴ people
Since BD is the angle bisector of ∠ ABC,
∠ ABD = ∠ CBD --- (1)
Now, in triangles Δ ABD and Δ CBD,
BD = BD (common side)
∠ ABD = ∠ CBD from (1)
AB = BC (Given)
Hence, Δ ABD ≅ Δ CBD (SAS Rule).
Answer:
-104
Step-by-step explanation:
Step 1: Write out expression
6(-16) - 8
Step 2: Evaluate
-96 - 8
-104
Answer:
4095
Step-by-step explanation:
You’re given that m=7 (slope is 7), so setup the slope-intercept form with that info: y = 7x + b.
Now you need to find b. Plug in (3,11) for x and y, x=3 and y=11.
11 = 7*3 + b
Notice the only variable left is b, so you’ll find b this way.
11 = 21 + b and then subtract 21 from both sides:
11 - 21 = b
-10 = b
Plug that back into the equation and you have y = 7x -10
