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1 year ago

How do you prove similarity in math?

Mathematics

1 answer:

ra1l [238]1 year ago

3 0

Answer:

AA (Angle-Angle): If triangles have two of the same angles, then the triangles are similar. SAS (Side-Angle-Side): If triangles have two pairs of proportional sides and equal included angles, then the triangles are similar.

Step-by-step explanation:

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The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

$f(0) > g(0)$

6 0

3 years ago

Solve the proportion x/12.6=45/63

NNADVOKAT [17]

Answer:

x = 9

Step-by-step explanation:

solve using cross multiplication

63(x) = 45(12.6)

63x = 567

x = 9

5 0

3 years ago

Read 2 more answers

2/3x +4 = 2/5 rewrite the equation so it doesn’t have fractions. Do not use decimals.

erma4kov [3.2K]

Answer:

exfv

Step-by-step explanation:

6 0

3 years ago

Hi people ~

Liono4ka [1.6K]

<h2>♨ANSWER♥</h2>

Child labor is a service rendered by children in any field during their childhood. This is done due to lack of resources for subsistence, irresponsibility of the parents or lack of resources by the owner to increase their returns on low investment.

This does not matter with the cause of child labor as all the reasons force children to live life without childhood. Childhood is the greatest and happiest period of everyone’s life, during which one learns about the basic strategy of life from parents, loved ones and nature. Child labor interferes with the proper growth and development of children in all aspects, mentally, physically, socially and intellectually.

☆...hope this helps...☆

_♡_mashi_♡_

7 0

2 years ago

If the leg of a 45-45-90 triangle is 20in long, what is the perimeter of the triangle

Sindrei [870]

Yo sup??

Lenght of two side will be equal to 20 in as its an isoceles triangle.

The third side will be

x^2=b^2+h^2 (by pythagoreas theorem)

=9^2+9^2

x=9√2 in

Therefore the perimeter is = 9+9+9√2

=9√2(√2+1) in

Hope this helps.

8 0

3 years ago