Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance across the pond must be 159 ft by the SSS Triangle Congruence Theorem. Complete the explanation of
the error.
210 ft
190 ft
159 ft
190 ft
M
210 ft
K
ft, but the justification should be the
The distance across the pond is
(select)
U

The answer is below

Step-by-step explanation:

Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance  across the pond must be 160 ft by the SSS Triangle Congruence Theorem.

Solution:

Two triangles are said to be congruent if they their three sides are equal and their three angles are equal.

From the image attached we can say that triangle LMN and triangle JNK are congruent since they have they share the same angle (∠N) and both of their sides are equal. This is the side, angle, side (SAS) congruence theorem.

Hence since they are congruent, JK = 160 feet by the SAS triangle congruence theorem.

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

∠cbe and ∠deb are same-side interior angles.

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