<h2>7x + 19 = 208</h2><h2>11x - 89 = 208</h2><h2>--------------------------------------</h2>
<u>Step-by-step explanation:</u>
let third angle be x
60° + 60° + x = 180° (Δ sum property)
x = 60°
so, this is a equilateral triangle (all Δ equal)
<h2>-----------------------------------------</h2>
in equilateral triangle --> all sides are equal
so, therefore =>>
7x + 19 = 11x - 89
19 + 89 = 11x - 7x
108 = 4x
108 ÷ 4 = x
27 = x
<h3>x = 27</h3><h2>-----------------------------------------</h2>
so variable
1.) 7x + 19
= 7(27) + 19
= 189 + 19
= 208
2.) 11x - 89
= 11(27) - 89
= 297 - 89
= 208
Answer:
Step-by-step explanation:
Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is
I = PRT/100
Where
I = interest
P = principal(amount borrowed from the bank)
R = 9% ( rate at which the interest is charged
T = number of years
At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215
Therefore,
The interest = 24215 - 16700 = 7515
Therefore
7517 = (16700 × 9 × t)/100
751700 = 150300t
T = 751700/150300
T = 5 years
Converting 5 years to months,
1 year 12 months
5 months = 12 × 5 = 60 months
It's pretty simple! So it looks like you are learning proportions. You would cross multiply to achieve your answer.
First, let's do your first problem:
2 12
--- = ----
5 n
You would take 5 and multiply it by 12 and get 60! Then you would do the same with 2 times n, giving you 2n (because you do not know what n represents YET.)
Now you should have this:
60=2n OR 2n=60
We must isolate our variable, in order to do that, get rid of two! But how? You would do this by dividing 2n by 2. Yet in equations, when you do something to one side, you must do it to the other because they must be EQUAL! (hence the "equa-" in equation)
2n=60
--- ---
2 2 DIVIDE 2 into 60
----------
n= 30 Simplify!
Your final answer for the first question is n= 30!
Y=.75x-1 im might be wrong i think im wrong but im not sure
To ease your problem, consider "L" as you x-axis
Then the coordinate become:
A(- 4 , 3) and B(1 , 2) [you notice that just the y's changed]
This is a reflection problem.
Reflect point B across the river line "L" to get B', symmetric of B about L.
The coordinates of B'(1 , -1) [remember L is our new x-axis]
JOIN A to B' . AB' intersect L, say in H
We have to find the shortest way such that AH + HB = shortest.
But HB = HB' (symmetry about L) , then I can write instead of
AH + HB →→ AH + HB'. This is the shortest since the shortest distance between 2 points is the straight line and H is the point requiered
