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3 years ago

Which of the following is not part of the Converse of the Triangle Proportionality Theorem?

2 answers:

7 0

The correct answer is:

A) A perpendicular line to one side of a triangle.

Explanation:

The converse of the triangle proportionality theorem states "If a line divides two sides of a triangle proportionally, then that line is parallel to the third side."

The AA similarity theorem is part of this, as we are looking at the ratios of the sides.
Proportionality of the sides is part of this, as it is stated in the converse.
A parallel line to one side of a triangle is part of this, again as it is stated in the converse.

defon3 years ago

3 0

Answer:

Option: A is the answer.

( A. A perpendicular line to one side of a triangle )

Step-by-step explanation:

The converse of proportionality theorem states that:

" If a line divides two sides of a triangle proportionally, then that line is parallel to the third side "

Hence we are asked to find which statement is not a part of the Converse of Triangle Proportionality theorem.

The statement is:

" A perpendicular line to one side of a triangle "

Hence option A is the answer.

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Complete the equation of the line through (-10,-7)(−10,−7)(, minus, 10, comma, minus, 7, )and (-5,-9)(−5,−9)(, minus, 5, comma,

Tanzania [10]

Answer:

$y = -\frac{2}{5}\cdot x - 11$

Step-by-step explanation:

First, the slope is determined by using the following expression:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{-7-(-9)}{-10 - (-5)}$

$m = -\frac{2}{5}$

The y-intercept is found by using the line equation, the slope and one point:

$y = m \cdot x +b$

$b = y - m\cdot x$

$b = -7 - \left(-\frac{2}{5}\right)\cdot (-10)$

$b = -11$

The equation of the line is:

$y = -\frac{2}{5}\cdot x - 11$

7 0

3 years ago

Y is directly proportional to x when y=30, x=6

rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

$\therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}$

4 0

3 years ago

Mylar balloons cost $1.25 each l, and latex balloons cost $0.75 each. What equations can be used to find the number of each type

Anuta_ua [19.1K]

Its a because you will add 1.25 and 0.75 because it says each and of course 18 would be what it equals

4 0

3 years ago

Read 2 more answers

How do you make a fraction into a mixed number?

Dennis_Churaev [7]

Ex: 12/5 so first u find the multiple or factor i think of 12 that won't go over which is 10 so it would be 2 2/5 cuz. 5 x 2 = 10 + 2 = 12= 12/5

6 0

3 years ago

Branilest and 30 point please answer

Lynna [10]

Answer:

Addition Property of Equality

Step-by-step explanation:

System of Equations

When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.

One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:

$5x+4y=-2\\2x-4y=6$

If we add both equations, we have

$5x+4y+2x-4y=-2+6$

Simplifying

$7x=4$

By adding both equations we managed to eliminate the variable y and could easily find the value of x

$x=4/7$

Answer: Addition Property of Equality

7 0

3 years ago