Answer:
One solution
Step-by-step explanation:
x+y=5
3x-y=-5
Add the equations together will get you:
4x=0
Divide the 0 by 4 to get the x alone will get you
x=0
The value of each measure based on the incenter is illustrated below.
<h3>What is incenter?</h3>
The incenter of a triangle is the point of intersection of all the three interior angle bisectors of the triangle. This point is equidistant from the sides of a triangle.
Angle ARU = 40 degree
Length of AU = 20
Angle QPA = 35 degree
Since, AR is angle bisector of angle URK.
So, ∠ARU = ∠ARK = 40 degree
Since, incenter point is equidistant from the sides of a triangle.
So, AT = AU = AK = 20
Since, PA is angle bisector of angle QPU.
So, ∠QPA = ∠UPA
3x + 2 = 4x - 9
4x - 3x = 9 + 2
x = 11
Substituting value of x in angle 3x + 2
We get, ∠QPA = 3(11) + 2 = 35°
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Answer:
The loan amount after 3 years is $ 5,196.88
Step-by-step explanation:
Given as :
The principal amount for room loan = $ 3,800
The rate of interest applied = 11% compounded annually
The time period of loan = 3 years
Let The Total loan amount = $ A
Now,<u> From Compounded method :</u>
Amount = Principal × ![(1+\dfrac{\textrm rate}{100})^{\textrm time}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%20rate%7D%7B100%7D%29%5E%7B%5Ctextrm%20time%7D)
or, A = $ 3,800 × ![(1+\dfrac{\textrm 11}{100})^{\textrm 3}](https://tex.z-dn.net/?f=%281%2B%5Cdfrac%7B%5Ctextrm%2011%7D%7B100%7D%29%5E%7B%5Ctextrm%203%7D)
or, A = $ 3,800 × (1.11)³
or, A = $ 3,800 × 1.3676
∴ A = $ 5,196.88
So, Amount after 3 years = A = $ 5,196.88
Hence The loan amount after 3 years is $ 5,196.88 Answer
The domain of the function y = √(x + 6) - 7 is x > -6
<h3>How to determine the domain of the
function?</h3>
The equation of the function is given as
y = √(x + 6) - 7
Set the radical greater than 0
x + 6 > 0
Subtract 6 from both sides of the equation
x > -6
Hence, the domain of the function y = √(x + 6) - 7 is x > -6
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Answer:
<h2><u><em>
D. 12/4 and 3/1</em></u></h2>
Step-by-step explanation:
What two ratios can be written for the following illustration comparing oranges to bunches of bananas? (image of 12 oranges and 4 bananas) A. 12/4 and 1/3 B. 4/12 and 3/1 C. 3/3 and 1/1 D. 12/4 and 3/1
12 oranges and 4 bananas is
12/4
semplify
3/1