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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.

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Which equation represents a population of 210 animals that decreases at an annual rate of 14%
soldi70 [24.7K]

Answer:

The equation i.e. used to denote the population after x years is:

P(x) = 490(1 + 0.200 to the power of x

Step-by-step explanation:

This problem could be modeled with the help of a exponential function.

The exponential function is given by:

P(x) = ab to the power of x

where a is the initial value.

and b=1+r where r is the rate of increase or decrease.

Here the initial population of the animals are given by: 490

i.e. a=490

Also, the rate of increase is: 20%

i.e. r=20%

i.e. r=0.20

Hence, the population function i.e. the population of the animals after x years is:

P(x) = 490(1 + 0.200 to the power of x

6 0
3 years ago
A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is
Gnoma [55]

Answer:

<h2><em>29.4 length and 21.4 width.</em></h2>

Step-by-step explanation:

To fin the dimensions of the pool we need to use the total area of the pool plus the concrete walkway. Lets say that <em>W </em>is the width and <em>L </em>the length. We know that, the walkway has 3 ft wide, this means that the width and length are increased by 6ft (3ft on each side). So, the total area can be expressed like this:  A_{total} = (L+6)(W+6).

In addition, we know that the total area is 970 and the length is 8 ft longer than the width (L=W+8). So:

A_{total} = (L+6)(W+6)\\970 = (W+8+6)(W+6)\\970=W^{2}+20W+84\\W^{2}+20W-886=0

With this quadratic equation we're gonna have to solution, the most reasonable is part of the answer. So, solving the equation we have as solutions: W_{1}=21.4 and  W_{2}=-41.4

Therefore, the width is 21.4 ft, because the negative number cannot represent distances.

Using the relation between length and width:

L=W+8\\L=21.4+8=29.4

<em>Therefore, the dimensions of the pool are 29.4 length and 21.4 width.</em>

7 0
3 years ago
suppose the annual rate of inflation average 3.8% over the next 10 years. the present cost of oil change for tour car is $23.95.
Mariana [72]
If the annual rate in 10 years has the same quadralaterical value the answer would be 47.9 but we can make sure our answer is correct
what we know:

The cost changed in 10 years to 23.95

if the cost changed another 10 years it would be another 23.95, 23.95+23.95=47.9 Which is our answer pls mark brainliest 





4 0
3 years ago
I need to write the equation in slope intercept form that passes through the points
VMariaS [17]
(x1, y1) (x2, y2)
(-4, 5)    (-1, 1)
x2-x1 
-1 - -4
-1+4
   3
y2-y1
1- -4
1+4
  5
 
answer : (3,5)
I believe this is right, hope this helps!


4 0
3 years ago
I really need help!!!
White raven [17]

Answer:

72. 5

73. -5

74.r =2.40753645…,−2.90753645

75. v =1.53066238…,−0.13066238

Step-by-step explanation:

4 0
2 years ago
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