Your teacher is giving you a test worth 100 points containing 40 questions. there are 2 point and 4 point questions on the test. how many of each type of questions are on the test.    use a system of linear equations to solve .

Answer:

Exelente calidad de programa

The length of Line BC is 10

What is a triangle?

A figure bounded by 3 sides and all the internal angles add up to 180 ° is called a triangle.

What are similar triangles?

Triangles having the same corresponding angles measures and proportional side lengths are called similar triangles.

How to find the length of the line BC?

Considering Δ AXY    and    ΔABC

                      ∠AXY       =      ∠ACB  (corresponding angles are equal)

                       ∠AYX       =      ∠ABC   (corresponding angles are equal)

                       ∠A is common in both the triangles

∴ We can say the triangles are similar .

Now, let H be the height of ΔABC and h be the height of ΔAYX

So, we can say,  

• Now, we know that area of the triangle can be found with the help of the formula (1/2)x(base)x(height)

So,  

⇒    

Now, substituting XY = 5 and    in the above equation, we get

⇒ BC² = 100

⇒ BC = ± 10

Since BC is the length , so it cannot be negative.

So, the negative value is rejected.

∴  BC = 10

Option B is correct.

Find more about "Similar Triangles" here: brainly.com/question/2644832

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Answer:

-2x+6y

Step-by-step explanation:

2x-4x= -2x

3y+3y= 6y

x= -2x

y= 6y

The answer would be -2x+6y

I really do hope I answer your question!

Answer:

See Below

Step-by-step explanation:

To Clarify a rational number is just a number that can be made into a mixed fraction. Or another way of doing this would be to say a number like 1.50. So currency is a form of rational numbers.

EX: You decided to go to college but as a broke college student you couldn't pay for college (because it is expensive) so you decide to take out a student loan. For simplicity's sake let's say that you only need a $15,236.75 loan to add to the money you had saved up for college. However, the loan agency adds a 0.05 per month interest rate as soon as your 4 years of college are over. Knowing that interest adds up fast you decide to try to pay off as much loan debt as you can while still in college with your part-time job. You end up paying off $746.98 leaving you with only $14,489.77 left of the loan. The first month out of college you wind up with only $15,214.26 of college debt. Before the next month however you marry your college sweetheart and as a couple, you take on each other's debts making your grand sum for college debts $32,416.51. After five blissful years of marriage you wind up getting a divorce but because finances have been jumbled (real-world ish) you decide just to divide the $12,758.36 debt from college evenly between the two of you.

Subtraction:

• 15,236.75-746.98 = 14,489.77

Multiplication:

• 14,489.77x.05 = 15,214.26

Addition:

• 32,416.51 = 15,214.26+17,202.25

Division:

• 12,758.36/2 = 6,379.18