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stiv31 [10]
3 years ago
12

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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A few years​ ago, a census bureau reported that​ 67.4% of American families owned their homes. Census data reveal that the owner
STatiana [176]

Answer:

The hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

Step-by-step explanation:

In this case we need to determine whether the city should continue with plan of offering tax breaks to first-time home buyers in order to encourage people to become homeowners.  

It is provided that, a few years ago, a census bureau reported that 67.4% of American families owned their homes.  

But the Census data reveal that the ownership rate in one small city is much lower.

So, to improvise this the city council wants to offer tax breaks to first-time home buyers in order to encourage people to become homeowners.  

They decide to adopt the plan on a 2-year trial basis and use the data they collect to make a decision about continuing the tax breaks.

To determine whether the city council should continue with the plan or not, the hypothesis can be defined as follows:

H₀: The rate of home ownership is 67.4%, i.e. p = 0.674.

Hₐ: The rate of home ownership is more than 67.4%, i.e. p > 0.674.

4 0
3 years ago
Read 2 more answers
eli has a square sprocket abcd graphed in a coordinate plane. the square sprocket was rotated 180 about the origin to form A'B'C
Maksim231197 [3]

Answer:

a 6,3 b 2,3 c 2,-1 d 6,-1

Step-by-step explanation:

flip the signs

6 0
3 years ago
In AWXY, mW<br> Find mZX<br> (2x – 12), m_X = (2x + 17), and m_Y = (9x-7)<br> Find m
sladkih [1.3K]

Answer:

45

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

2x - 12 + 2x + 17 + 9x - 7 = 180 add like terms

13x - 2 = 180 add 2 to both sides

13x = 182 divide both side by 13

x = 14

m<X = 2x + 17 replace x with 14

2*14 + 17 = 45

5 0
2 years ago
An artist purchased 24 high quality canvases to be used for painting this fall. Each week she will allow herself to use three of
Nadusha1986 [10]

Answer:

<u><em>canvases over weeks </em></u>

<u><em> </em></u>

<u><em>Step-by-step explanation: </em></u>

<u><em> </em></u>

<u><em>Given: </em></u>

<u><em> </em></u>

<u><em>w(h) represents how many hours per week </em></u>

<u><em> </em></u>

<u><em>c(t) approximates how many canvases she paints per hour </em></u>

<u><em> </em></u>

<u><em>In function composition, if we have two function f(x) and g(x) then </em></u>

<u><em> </em></u>

<u><em>(f.g)(x) or f(g(x)) means first apply g(), then apply f() i.e. applying function f to the results of function g. </em></u>

<u><em> </em></u>

<u><em>Now we have c(w(h)), this means first we apply w(h) which will give us hours per week and then we'll apply function 'c' on the results of 'w' (that is number of hours for weeks painted). As result we'll get number of canvas </em></u>per week!

8 0
3 years ago
Please help me out!!! :)
alexgriva [62]

Answer:

x = 26°

Step-by-step explanation:

The measure of the secant- secant angle x is one- half the difference of the measures of the intercepted arcs , larger subtract smaller

x = \frac{1}{2} (66° - 14°) = 0.5 × 52° = 26°

8 0
4 years ago
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