Answer:
Step-by-step explanation:
Set up the following ratio which applies to all angle bisectors and the side opposite.
8 / (x + 4) = 12 / (2x + 1) Cross multiply
8 * (2x + 1) = 12 * (x + 4)
16x + 8 = 12x + 48 Subtract 8 from both sides
16x + 8 -8 = 12x + 48-8
16x = 12x + 40 Subtract 12x from both sides
16x - 12x = 40
4x = 40 Divide by 4
4x/4 = 40/4
x = 10
Answer:
Jamal predicts that 243 people will visit his site on the fifth day.
Step-by-step explanation:
Since Jamal launched a website for his custom shoe store, and on the first day, 3 visitors registered on the website, while on the third day, 27 visitors registered on the website, if Jamal uses an exponential function to model the data from the first and third days, to determine how many visitors will predict to register on the fifth day, the following calculation must be performed:
Day 1 = 3
Day 2 = 3 ^ 2 = 9
Day 3 = 3 ^ 3 = 27
Day 4 = 3 ^ 4 = 81
Day 5 = 3 ^ 5 = 243
Therefore, Jamal predicts that 243 people will visit his site on the fifth day.
Distance between T(80, 20) and U(20, 60) = sqrt((20 - 80)^2 + (60 - 20)^2) = sqrt((-60)^2 + (40)^2) = sqrt(3600 + 1600) = sqrt(5200) = 72.11 units
Distance between T(80, 20) and V(110, 85) = sqrt((110 - 80)^2 + (85 - 20)^2) = sqrt((30)^2 + (65)^2) = sqrt(900 + 4225) = sqrt(5125) = 71.59
Distance between U(20, 60) and V(110, 85) = sqrt((110 - 20)^2 + (85 - 60)^2) = sqrt((90)^2 + (25)^2) = sqrt(8100 + 625) = sqrt(8725) = 93.41
Therefore, shortest distance for the trip = 71.59 + 93.41 = 165 units.
Answer: 62.8in
Step-by-step explanation:
The formula for circumference is C=2πr. Put the values of 10 in for r and 3.14 in for pi, and you get an equation that looks like C=2(3.14)(10). Solving this equation gets you 62.8.
Answer:
No solution
Step-by-step explanation:
by criss cross method, 6(x+3) = 6(4+x)
6x+18 = 24+6x
6x-6x = 24-18
0=6 no solution
