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Alexus [3.1K]
3 years ago
8

Prove the Triangle Proportionality Theorem...

Mathematics
1 answer:
boyakko [2]3 years ago
4 0

Answer:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Step-by-step explanation:

You might be interested in
if there are 300 calories in 100 g of a certain food, how many calories are there in a 30 g portion of food​
kap26 [50]

Answer:

90 calories

Step-by-step explanation:

Calories : quantity of food

there are 300 calories in 100 g of a certain food

300 calories : 100 g food

how many calories are there in a 30 g portion of food​

Let x = number of calories

x calories : 30 g food

Equate both ratios

300 calories : 100 g food = x calories : 30 g food

300/100 = x/30

300 * 30 = 100 * x

9000 = 100x

x = 9000/100

x = 90

x = number of calories = 90 calories

6 0
3 years ago
Multiplying to Fractions 
ExtremeBDS [4]

Answer:

B. No. The product of two fractions is the product of the numerators divided by the product of the denominators.

Step-by-step explanation:

For A: A is clearly false because you can multiply any fraction and it doesnt matter what the denominator is.

For B: The first part is correct, which is that to multiply two fractions, they dont have to have like/common denominators, the explanation part is also correct. When we multiply we multiply the numerator to the numerator and the denominator to the denominator.

For C: C is false because the first part says yes and we know that you can multiply any 2 fractions regardless of denominators.

For D: For D the first part is correct however, the explanation section is false you dont multiply the numerator to the denominator.

For E: You don't have to find the equivalent fraction to multiply because you can do that afterward.

I hope this helps, have a blessed day! :D

3 0
2 years ago
consider the equation is Y equals 1/square root of x and y=x-2. approximate solution of the system equations
emmasim [6.3K]

Answer:

x=1 and x=4

Step-by-step explanation:

We have the following system of equations:

y=\sqrt{x} and y=x-2

To solve the problem, we need to equal the two equations:

x-2=\sqrt{x} ⇒ (x-2)^{2} =x ⇒ x^{2} -4x + 4 = x  

⇒ x^{2} -5x + 4 = 0  

So you need to find two numbers that added equal to 5 and multiplied equal to 4. These two numbers are x=-1 and x=-4.

Then, the factorized form of the polynomial is: (x-1)(x-4).

The, the solution to the system of equations is: x=1 and x=4.

5 0
3 years ago
Triangle ABC is a triangle with no equal sides. A new triangle congruent to triangle ABC is to be placed on the plane such that
Margarita [4]

Answer:

9

Step-by-step explanation:

im bad at explaining

6 0
3 years ago
Find the lengths of "x"
yanalaym [24]
Using pythagorean's theorem
a^2+b^2=c^2

a being 3 
b being 4
we'll get
9+16=25
where 5 is the hypotenuse and also c.
c^2 = 5^2
4 0
3 years ago
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