<h3>
Answer: SSS</h3>
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Explanation:
The sides shown by the single tickmark are the same length. That's one "S" of "SSS".
The sides shown with double tickmarks are the same length. This is another "S" of "SSS".
Lastly, the third unmarked sides of each triangle overlap together perfectly. We consider this a shared side. They are the same length due to the reflexive property. This is the third "S" of "SSS".
The order of the "S" terms mentioned above doesn't matter. All that matters is that we have three pairs of congruent sides. This is enough to use the SSS congruence theorem to prove the two triangles are congruent.
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Extra info:
We don't have any information about the angles, so we cannot use ASA, SAS, or AAS.
We can't use HL because that only applies to right triangles.
I believe it is the third one. I hope this helps :)
60. Terese deposited $6 000 into a bank account that pay 2% every year
How much will she earn if for the first 4 years:
=> First Year 6 000 x 0.02
=> 120
=> 6 000 + 120 = 6 120
=> Second Year the money is 6 120
=> 6 120 * .02 = 122.4
=> 6 120 + 122.4
=> 6 242.4
=> For the third year the money is 6 242.4
=> 6 242.4 x 0.02 = 124.848
=> 6 242.4 + 124.848
=> 6 367.248
=> And for the 4th year
=> 6 367.248 * .02 = 127.34
=> 6 494.6
So his money will be 6 494.6 dollars.
Answer:
0.85 of the original piece of lumber remains.
Step-by-step explanation:
Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.
2.5 - 1.65 =
2.50 - 1.65 = 0.85.
Therefore, 0.85 of the original piece of lumber remains.
Hope this helps! :)
Answer:
x=7 multiplicity of 2
Step-by-step explanation:
14x - 49 = x^2
Subtract x^2 from each side
-x^2 +14x - 49 = x^2-x^2
-x^2 +14x - 49 = 0
Multiply by -1
x^2 -14x +49 =0
What 2 numbers multiply together to give you 49 and add together to give you -14
7*-7 = 49
-7+-7 = -14
(x-7) (x-7) = 0
Using the zero product property
x-7 = 0 x-7 =0
x-7+7= 0+7 x-7+7 =0+7
x =7 x=7
