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Studentka2010 [4]

3 years ago

8

I don't get the subject of congruent triangles. How do I figure out if there's not enough information to know if it is congruent

? Also, how do you do a flow chart? Thanks!!

1 answer:

babymother [125]3 years ago

5 0

Answer:

Okay, there are many ways to find if a triangle is congruent.

Let's start with some different terminology.

For the sake of simplicity let us say that S stands for when a side is congruent for both triangles and A stands for when an angle (<) is congruent between both the triangles as well.

So, you need to memorize some rules. If you find that 2 triangles are congruent in the sense of; SSS, SAS, AAS, SAA, and ASA. One thing to remember is that Angle Side Side isn't congruent and is called <em>Donkey Theorem</em>. This theorem only works for right triangles.

One way to know if your triangle isn't congruent is if you can find a part of the triangle that is different.

I know that wasn't the best explanation but I hope it helped anyhow. :)

You might be interested in

Is 5361 divisible by three how do you know just by looking at it

lakkis [162]

Answer and explanation

You add all of the digits together a see if it is divisible by 3 sooooo...........

5+3+6+1=15/3=5

5 0

4 years ago

Numa caixa estão berlindes vermelhos,amarelos e azuis: 20%dos berlindes são vermelhos,40% são amarelos e o número de berlindes a

Agata [3.3K]

Answer:

200 berlindes

Step-by-step explanation:

Vamos representar

O número total de berlindes na caixa = X

Mármores vermelhos = 20% de X

= 0.2X

Mármores amarelos = 40% de X

= 0.4X

Mármores azuis = 80

Conseqüentemente,

0.2X + 0.4X + 80 = X

Recolher termos semelhantes

80 = X - 0.2X - 0.4X

80 = X - 0.6X

80 = 0.4X

Divida ambos os lados por 0.4

X = 80 / 0.4

X = 200

Uma vez que X representa o número total de berlindes na caixa, portanto, o número total de berlindes na caixa = 200 berlindes

3 0

3 years ago

What is the solution to x-1=-2x+5

Ivan

Answer:

x = 2

Step-by-step explanation:

Solve for x

x - 1 = -2x + 5

3x = 6

x = 2

5 0

3 years ago

Read 2 more answers

A rectangular storage container with an open top is to have a volume of 10 m3 . then length of its base is twice the width. mate

katrin [286]

Answer:

The cost of materials for the cheapest such container is $163.54.

Step-by-step explanation:

A rectangular storage container with an open top is to have a volume of 10 m³.

The volume of the rectangle is

$\text{Volume} =\text{Length} \times \text{Width} \times \text{Height}$

Length of its base is twice the width.

Let Width be 'w'.

Length is l=2w.

Height be 'h'.

$10 =2w\times w\times h$

$10=2w^2h$

The height in terms of width is represented as,

$h=\frac{10}{2w^2}$

$h=\frac{5}{w^2}$

According to question,

The cost is 10 times the area of the base and 6 times the total area of the sides.

i.e. Cost is given by,

$C=10(L\times W)+6(2\times L\times H+2\times W\times H)$

$C=10(2w\times w)+6(2\times 2w\times \frac{5}{w^2}+2\times w\times \frac{5}{w^2})$

$C=20w^2+\frac{120}{w}+\frac{60}{w}$

$C(w)=20w^2+\frac{180}{w}$

To get the minimum value,

Differentiate the cost w.r.t 'w',

$C'(w)=20\frac{d(w^2)}{dw}+180\frac{d(w^{-1})}{dw}$

$C'(w)=20\times 2w-180 w^{-2}$

$C'(w)=40w-\frac{180}{w^2}$

To find critical points put derivate =0,

$40w-\frac{180}{w^2}=0$

$40w=\frac{180}{w^2}$

$w^3=\frac{180}{40}$

$w=\sqrt[3]{4.5}$

$w=1.65$

We find the second derivative to minimize,

$C''(w)=40\frac{d(w)}{dw}-180\frac{d(w^{-2})}{dw}$

$C''(w)=40+360(w^{-3})$

$C''(w)>0$

As $C''(w)>0$ it is the minimum cost.

The cost is minimum at w=1.65.

Substitute the values in the cost function,

$C(1.65)=20(1.65)^2+\frac{180}{1.65}$

$C(1.65)=54.45+109.09$

$C(1.65)=163.54$

Therefore, the cost of materials for the cheapest such container is $163.54.

7 0

3 years ago

What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =

Nat2105 [25]

Answer:

9

Step-by-step explanation:

In a equilateral triangle all angles are equal and 60° each so

7x - 3 = 60° ➡ 7x = 63° ➡ x = 9

7 0

3 years ago