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BARSIC [14]
3 years ago
12

Identify the two triangle congruence criteria that do NOT guarantee congruence. Explain why they do not guarantee congruence, an

d provide illustrations that support your reasoning.
Mathematics
1 answer:
Mashcka [7]3 years ago
7 0

Answer: Hello mate!

there are two congruence criteria that do not guarantee congruence:

AAA ( or 3 angles)

two triangles can have the same 3 angles, but different size, then they are not congruent; an example of this is:

take the triangle rectangle of both cathetus = 1 and hypotenuse = √2, where the angles are 90°, 45° and 45°

and now take the triangle rectangle with both cathetus = 2 and hypotenuse = √8, this triangle also has the angles 90°, 45°, and 45°, so this two triangles succeed the AAA criteria, but are not congruent.

SSA (side-side-angle)

If two triangles satisfy the SSA  criteria and the corresponding angles are acute and the length of the side opposite to the angle is greater than the length of the adjacent side multiplied by the sine of the angle (but less than the length of the adjacent side), then the two triangles are not necessarily congruent.

This is kinda harder to illustrate;  

think on a triangle rectangle where you have the measure of both cathetus and one of the angles different from 90° as the SSA data.

and now think on another triangle that has the same adjacent cathetus and angle, and where the other cathetus is rotated (in a sense where 90° is decreasing) to the point where its tip intercepts the hypotenuse of the first triangle.

Those two triangles meet the SSA criteria but are not congruent.

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Find the GCF (greatest common factor) of 84 and 36. Be sure to show your work. Then, using complete sentences, explain what your
Vsevolod [243]

The answer is 4. By using the factor tree method, you can figure out the GCF of each number. This means 4 is the highest number you can mulitply anything by to get both 84 and 36.

4 0
3 years ago
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Please show your work :)
saul85 [17]
1. Slope-intercept form is y=mx+b, where m=slope and b=y-intercept. To answer this question, plug in the values they have given you.

y=mx+b
y=1/4x-5

2. To write an equation in slope-intercept form when given two points, use m=y2-y1/x2-x1

Remember: in an ordered pair, x comes first then y.

Plug the y- and x-values in. So, y2=6, y1=2 and x2=-2, x1=9

6-(-)2/-2-9= - 4/11.

The slope of your next equation would be m= - 4/11
3 0
3 years ago
Find the equation of the exponential function represented by the table below: above^^^^
Nikitich [7]

Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

y=a(b)^x where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

3=a(b)^0. Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

1.5=3(b)^1. Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

y=3(\frac{1}{2})^x

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

4 0
3 years ago
Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years he'll have $100. Be
Nimfa-mama [501]

Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

First step is to determine Jerry total deposit

over the two years

Total deposit = 24×$5

Total deposit= $144

Now let determine what the correct balance will be at end of two years

Using this formula

Maximum Amount=Principal (1+r)^t

<em>Where</em>:

Principal=$144

r=4.8%/12 = 0.4% or 0.004

t=24 months

Let plug in the formula

Maximum Balance = $144 (1.004)^24

Maximum Balance  = $158.5

Based on the above calculation both Jerry $100 and Benny $163 balance are  ​eliminated or rule out because the correct balance after two years is $158.5

Inconclusion Assuming Jerry calculates that if he makes a deposit of $6 each month at an APR of 4.8%, then at the end of two years the correct balance will be: $158.5

Learn more here:

brainly.com/question/3658861

4 0
3 years ago
Need help with 6,7,8,9,10,11,12,15
Ainat [17]

Answer:

6. 1.01 x -10^5

7. 6 x -10^14

8. 550,000

9. 60,700,000

10. 0.000204

11. 0.0004

12. 7,000,000,000,000 > 3,500,000,000

     7,000,000,000,000 (or 7 x 10^12) is greater by 2,000 times

15. 10^3 and 10^4

7 0
3 years ago
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