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3 years ago

Which of the following is the Triangle Proportionality Theorem?

Mathematics

2 answers:

aivan3 [116]3 years ago

8 0

A a line parallel to one side of a triangle divides the other two sides

inna [77]3 years ago

3 0

Answer:

Option A is the correct answer

Step-by-step explanation:

We are required to determine which of the options represents the 'Triangle Proportionality Theorem'.

As, we know,

Triangle Proportionality Theorem states that,

<em>'If a line which is parallel to one side of a triangle intersects both the other two sides of the triangle, then it divides the other two sides into equal proportions'.</em>

So, according to the options, we get that,

A) A line parallel to one side of a triangle divides the other two sides proportionally

represents the Triangle Proportionality Theorem.

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How do I solve this

sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

3 years ago

The sum of angle V and angle W is 90 degrees. If cos W = 5/13, what is sin V? A. 5/13 B. 12/13 C.12/5 D. 13/5

Savatey [412]

Answer:

I think the answer to the question should be C

Step-by-step explanation:

3 0

3 years ago

Given f(X) =-X+ 6 write an equation for f(x + 3).

luda_lava [24]

Answer:

3 - x

Step-by-step explanation:

f(x) = -x + 6

f(x + 3)

Substitute (x + 3) in for x;

f(x + 3) = -(x + 3) + 6

= - x - 3 + 6

= -x + 3

3 0

3 years ago

A company's revenue function and cost function are as follows: R(x) = 0.55x and C(x) = 10 + 0.05x. What is the minimum number of

Oduvanchick [21]

Answer:

Minimum number of units sold to make profit is equal to 20

Step-by-step explanation:

Revenue earned by the company as a function of number of units sold as x:

R(x) = 0.55x

Cost for selling units as a function of number of units sold as x:

C(x) = 10 + 0.05x

<em>Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)</em>

P(x) = (0.55x) - (10 + 0.05x)

P(x) = 0.55x - 10 - 0.05x

P(x) = 0.5x - 10

To earn profit the following condition should satisfy: P(x) ≥ 0

0.5x - 10 ≥ 0

0.5x ≥ 10

x ≥ $\frac{10}{0.5}$

x ≥ 20

4 0

3 years ago

A student reads 3/5 of a book in 30 minutes how much of the book will be read if the student reads at the same speed for 40 minu

erastova [34]

Answer:

4/5 of the book in 40 mins

7 0

3 years ago