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Lady bird [3.3K]
3 years ago
9

Please help with this

Mathematics
1 answer:
Maslowich3 years ago
3 0
<h3>Explanation:</h3>

The note "SAS Congruence" under the middle box tells you this proof will be accomplished by showing two sides and the included angle are congruent. (That's what S A S refers to.)

One of the angles is shown in the upper left box as ∠TMI. The note under that box tells you the other angle is a vertical angle with ∠TMI. By referring to the diagram, you see that the vertical angle is ∠EMR.

The middle box on the left and the bottom box on the left share the note "M is a midpoint." This tells you the segments of interest are the congruent segments of which M is the midpoint. The <em>Given</em> information tells you M is the midpoint of ET and of RI. The middle left box is already filled with TM ≅ EM, so the bottom box needs to be filled with the letters of the other segments: RM ≅ IM.

The three congruence relationships on the left, involving an angle and two  sides either side of that angle mean that you can invoke the SAS Congruence theorem to say ΔTMI ≅ ΔEMR. Be sure to write the triangle names so that T corresponds to E, and I corresponds to R. This is the relation that goes in the middle box.

The right side box is the desired conclusion, the whole point of the proof: ∠T ≅ ∠E. The corresponding note is "CPCTC" (corresponding parts of congruent triangles are congruent).

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What is the exact distance between points a(-2, 7) and b(6,-5)
shutvik [7]

Answer:

14.4222

Step-by-step explanation:

Distance between two points = √(x₂ – x₁)² + (y₂ – y₁)²

Distance between two points = √(6 – -2)² + (-5 – 7)²

√(6 – -2)² + (-5 – 7)²

√8² + (-12)²

√64 + 144

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14.4222

I hope this helps

4 0
3 years ago
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navik [9.2K]
12x is the correct answer

8 0
3 years ago
Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.
zavuch27 [327]

Answer:

671  is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using a_n=a+(n-1)d

a_{224}=2+(224-1)3

On solving the above equation we get

a_{224}=671

Hence, 224th term of the given series is 671


5 0
3 years ago
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
ryzh [129]
(3x + 13) + (8x + 14) + 109 = 180°

(3x + 13) + (8x + 14) = 71°

11x + 27 = 71°

11x = 44°

x = 4
5 0
3 years ago
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PLZZZZ SOMEONE ANSWER I WOULD APPRECIATE IT A LOT!!!!!<br> PLZZZZ.
Jet001 [13]

Answer:

Angle B: 26 degrees

Angle C: 26 degrees

Angle BSD: 97 degrees

Angle CSE: 97 degrees

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Arc BC: 114 degrees

Step-by-step explanation:

Good luck boi

8 0
3 years ago
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