In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS?

Mathematics

2 answers:

AleksandrR [38]3 years ago

3 0

Answer:

I believe you need to know the side of JK and MN if I'm not mistaken.

Cloud [144]3 years ago

3 0

Answer:

Answer: JK ≅ MN

WORKINGS

Given,

Angle J is congruent to Angle M (∠J ≅ ∠M)

Side JL is congruent to side MR (JL ≅ MR)

Triangle JKL is congruent to Triangle MNR ΔJKL ≅ △MNR

We are to give the additional information to show that triangle JKL is congruent to triangle MNR by SAS Postulate; SAS Postulate states that if two sides of one triangle and the angle formed by them are congruent to the corresponding parts of another triangle, then the two triangles are congruent.

Angle J is formed by sides JL and JK

Angle M is formed by sides MR and MN

Therefore, If the two triangles are congruent,

Angle J is congruent to Angle M

and Side JL is congruent to side MR

Then, Side JK is congruent to side MN (JK ≅ MN).

The additional information is needed to show ΔJKL ≅ △MNR by SAS is JK ≅ MN

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Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled $\frac{15*32}{60} = \frac{32}{4} = 8\text{km}$

So, his position after t minutes can be modeled by the following function:

$J(t) = 8 + 32t$

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

$M(t) = 52t$