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mote1985 [20]
3 years ago
14

At a graduation dinner, an equal number of guests were seated at each of 12 large tables, and 8

Mathematics
1 answer:
miskamm [114]3 years ago
8 0
Answer::: A. 12n -8 =128
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Help me to prove the given below. Thank you in advance
sleet_krkn [62]

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  

8 0
3 years ago
The frequency table shows the scores from rolling a dice<br><br> work out the mean
umka2103 [35]
You have to add all of your frequency’s together and divide by 6 for the 6 scores. your mean would be 2
6 0
2 years ago
Describe the nature of the roots for this equation.<br> 3x^2+x-5= 0
m_a_m_a [10]

Answer:

<h2>This equation has no natural roots.</h2>

Step-by-step explanation:

3x^2+x-5=0\\\\\text{Use the quadratic formula for}\ ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\text{For the given equation:}\\\\a=3,\ b=1,\ c=-5\\\\b^2-4ac=1^2-4(3)(-5)=1+60=61\\\\x=\dfrac{-1\pm\sqrt{61}}{(2)(3)}=\dfrac{-1\pm\sqrt{61}}{6}\notin\mathbb{N}

4 0
2 years ago
Read 2 more answers
The density of apple juice is 1. 04 grams per cm^3
-BARSIC- [3]

Answer:

1,040kg/m³

Step-by-step explanation:

1g/cm³ =1,000kg/m³

1.04g/cm³=?

= 1.04×1000

Density =1,040kg/m³

5 0
2 years ago
What is 392 rounded to nearest ten
NikAS [45]
Because the ones place is under 5, we round down, and 392 becomes 390 when rounded to the nearest 10
7 0
3 years ago
Read 2 more answers
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