9514 1404 393
Answer:
∠6 = ∠4 = 84°
∠5 = ∠3 = 96°
Step-by-step explanation:
Angle 4 and the marked angle (84°) are <em>corresponding</em> angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.
∠6 = ∠4 = 84°
Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:
∠3 = 180° -84° = 96°
Angle 3 and angle 5 are <em>alternate interior </em>angles, so are congruent.
∠5 = ∠3 = 96°
present value of annuity = annual payment * [ 1 - (1+i)^-n ]/i
=>
12500 = 128.04 * [1-(1+9%/12^-n]/9%/12
=>n = 42 payments
Answer:
x<100
Step-by-step explanation:
The given equation is :
x-19<81
Adding 19 to both sides of the equation.
x-19+19<81+19
x<100
It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.
Answer:
x=-8 y=6
Step-by-step explanation:
Add the two equations together. This cancels the x and gets us y=6
Then substitute y in more the first equation which gets us -8
Let x= flight 1 and y=flight 2
x=4y+5(5 more than 4 times the second flight)
y=y
x+y=365, replace x with 4y+5
4y+5+y=365, combine like terms
5y+5=365
5y+5-5=365-5
5y=360
5y/5=360/5
y=72
x=293
y=72
293+72=365
flight 2 had 72 people
