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pentagon [3]
3 years ago
13

There are 5 triangle congruence theorems. Two of them are Hypotenuse Leg (HL) and Angle Angle Side (AAS). Write down one more th

at is frequently used (use the shorthand three letter abbreviations like above).
Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

The one which is frequently used is

<em><u>SAS</u></em> criteria for congruency of triangles

Step-by-step explanation:

If_ any _two _sides_ and _angle_ included_ between_ the _sides _of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

You might be interested in
Will the sum of 2x3 + x2 - 4 and -5x² - 6x? be a polynomial?<br> yes<br> no
Eva8 [605]

Answer:

Yes

Step-by-step explanation:

Since we are adding two polynomials

The sum will also be polynomial

4 0
2 years ago
tell whether the system has one solution, infinitely many solutions, or no solution. x = -7y + 24 x + 7y = 32
mylen [45]
This system has no solution.
x = -7y + 24 can be rewritten as x = 24 - 7y
to simplify x + 7y = 32, we have to subtract 7y from both sides
x = 32 - 7y
Now, our system is as follows:
x = 24 - 7y
x = 32 - 7y


7 0
3 years ago
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
Which function is undefined for x = 0? y=3√x-2 y=√x-2 y=3√x+2 y=√x=2
Andre45 [30]

For this case, we must indicate which of the given functions is not defined forx = 0

By definition, we know that:

f (x) = \sqrt {x} has a domain from 0 to infinity.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. For it to be defined, the term within the root must be positive.

Thus, we observe that:

y = \sqrt {x-2} is not defined, the term inside the root is negative when x = 0.

While y = \sqrt {x + 2} if it is defined for x = 0.

f(x)=\sqrt[3]{x}, your domain is given by all real numbers.

Adding or removing numbers to the variable within the root implies a translation of the function vertically or horizontally. In the same way, its domain will be given by the real numbers, independently of the sign of the term inside the root.

So, we have:

y = \sqrt [3] {x-2} with x = 0: y = \sqrt [3] {- 2} is defined.

y = \sqrt [3] {x + 2}with x = 0: y = \sqrt [3] {2}in the same way is defined.

Answer:

y = \sqrt {x-2}

Option b


6 0
3 years ago
What is the first step to solve this equation: 12-4x=54
ValentinkaMS [17]

Answer:

B. subtract 12 from both sides

Step-by-step explanation:

12-4x=54

<u>-12 -12</u>

<u>-</u><u>4</u><u>x</u><u>=</u><u>4</u><u>2</u>

4 0
3 years ago
Read 2 more answers
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