To solve this problem, we will setup a system.
We know that two numbers have a sum of 12 and a difference of 4.
So let's call our first number x and our second number y.
So we know that x + y = 12.
We can also say that x - y = 4.
Now rewrite the equations on top of each other.
<h2>x + y = 12</h2><h2>x - y = 4</h2><h2 />
Now we can use addition to solve this system.
When we add the equations together, the y's will cancel.
So we have 2x = 16.
Now divide both sides by 2 and x = 8.
Now plug an 8 back in for x in the first equation to find that y = 4.
So our numbers are 8 and 4.
The total amount Maria ended up paying for the equipment will be $14,861.76. And The interest of Maria on the loan will be 8.48%.
<h3>What is Algebra?</h3>
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
To purchase 13700 worth of restaurant equipment for her business.
Maria made a down payment of 1500 and took out a business loan for the rest, after 3 years of paying monthly payments of 371.16 she finally paid off the loan.
The total amount Maria ended up paying for the equipment will be
Total amount = 371.16 × 3 × 12 + 1500
Total amount = $14,861.76
The interest of Maria on the loan will be
Interset = [(14861.76 – 13700) / 13700] x 100
Interset = 8.48%
More about the Algebra link is given below.
brainly.com/question/953809
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<h2>
Hello!</h2>
The answer is:
The length of "x" is equal to 4 units.
<h2>
Why?</h2>
To solve the problem and find the length of x, we need to remember the alternate angles rule. The alternate angles rule establish that alternate angles will be also equal.
So, for the triangles, we have:
The angle((α)) formed between the base (2.5) and the hypotenuse (5) of the big triangle is equal to the angle(α) formed between the base (2) and the hypotenuse (x) of the small triangle. It also means that the triangles are similar since they have congruent angles(α) and proportional sides (SAS).
We are given:
First triangle,
Second triangle,
So, using the cosine identity, we have:
Therefore, we have that the hypotenuse of the second triangle (x) is equal to 4 units.
Hence, the length of "x" is equal to 4 units.
Have a nice day!
Right isosceles triangle <3
Its a right triangle, and the two sides are equal so its isosceles
D is the answer to this question