MATHEMATICS MIDDLE SCHOOL

Help me to prove the given below. Thank you in advance

Answers

Answer 1

Answer:

Answer:

Construct MO, where O is the midpoint of CG. (As shown in the attached figure)

(1) LM = MG //given, CM is the median to the hypotenuse

(2) CO = OG // construction

(3) MO is a mid-segment //(1), (2) , Definition of a mid-segment

(4) MO // LC //triangle mid-segment theorem

(5) ∠MOG ≅ ∠LCO // corresponding angles in two parallel lines intersected by a transversal line (CG)

(6) m∠LCO=90° //given, ΔLCG is a right triangle

(7) m∠MOG=90° //(5), (6), definition of congruent angles

(8) m∠MOC=180° – 90° = 90° // linear pair

(9) ∠MOG ≅ ∠MOC //(7),(8), definition of congruent angles

(10) MO=MO //common side, reflexive property of equality

(11) ΔMCO ≅ ΔMGO //(2), (9), (10) Side-Angle-Side postulate

(12) MC = MG // Corresponding sides in congruent triangles (CPCTC)

(13) MG= ½LG // Given, CM is the median to the hypotenuse

(15) MC = ½LG //(12) , (13), substitution

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Okay so, I finally got it thanks to Nintendo's help. We need to find the length, let x be the length. 3+x=4. Let's make a fraction, 3/4*32=24. Like I said, let x be the length. Therefore, the answer is x=24.

How do you make 95 into a decimal

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To make 95 into a decimal, you can just put a decimal point in front of the number because it is out of 100. So your answer would be .95

What is the simplified number of 105/24 or 105 over 24

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105/3- 35
24/3- 8
35/8

$(105^(/ 3))/(24_(/ 3)) = \boxed{(35)/(8)}$

You divide to 3 up and down.

Help me out please !!!!!

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Answer:

Step-by-step explanation:

45+98+x=180

x = 37 , triangles equal 180° so 98+45=143 so 180-143= 37.

When rolling a number cube with sides labeled 1 through 6, what is the probability of rolling a number greater than 2? Express your answer in simplest form.

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you can take 6-2 and then get 4 then you will get 4/6 after simplify you will get 2/3

A circle has a radius of 14 feet. What it’s area

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Answer:

6.157

Step-by-step explanation:

A=πr^2=π·14^2≈615.75216

Area= pi multiples by the radius squared which equals 615.44

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