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3 years ago

Why does the LL theorem hold for proving right triangles congruent?

Mathematics

2 answers:

Rufina [12.5K]3 years ago

5 0

B.) The right angle is included between the legs.

alina1380 [7]3 years ago

3 0

Answer:

(A) The legs in right triangles are equal.

Step-by-step explanation:

LL theorem or Leg-Leg theorem: The LL theorem is also known as the leg-leg theorem. It states that if the legs of one right triangle are congruent to the legs of another right triangle, then the triangles are congruent.

Thus, in order to prove that the two right triangles are congruent,w use the LL theorem which holds that The legs in right triangles are equal.

Hence, option A is correct.

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[Q71 Suppose that the height, in inches, of a 25-year-old man is a normal random variable with parameters g = 71 inch and 02 = 6

viktelen [127]

Answer: (a) Percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

Step-by-step explanation:

Given that,

Height (in inches) of a 25 year old man is a normal random variable with mean $g=71$ and variance $o^{2} =6.25$ .

To find: (a) What percentage of 25 year old men are 6 feet, 2 inches tall

(b) What percentage of 25 year old men in the 6 footer club are over 6 feet. 5 inches.

Now,

(a) To calculate the percentage of men, we have to calculate the probability

P[Height of a 25 year old man is over 6 feet 2 inches]= P[X> $74in$ ]

P[X>74] = P[ $\frac{X-g}{o}$ > $\frac{74-71}{2.5}$ ]

= P[Z > 1.2]

= 1 - P[Z ≤ 1.2]

= 1 - Ф (1.2)

= 1 - 0.8849

= 0.1151

Thus, percentage of 25 year old men that are above 6 feet 2 inches is 11.5%.

(b) P[Height of 25 year old man is above 6 feet 5 inches gives that he is above 6 feet] = P[X, $6ft$ $5in$ - X, $6ft$ ]

P[X > $6ft$ $5in$ I X > $6ft$ ] = P[X > 77 I X > 72]

= $\frac{P[X > 77]}{P[ X > 72]}$

= $\frac{P[\frac{X - g}{o}>\frac{77-71}{2.5}] }{P[\frac{X-g}{o} >\frac{72-71}{2.5}] }$

= $\frac{P[Z >2.4]}{P[Z>0.4]}$

= $\frac{1-P[Z\leq2.4] }{1-P[Z\leq0.4] }$

= $\frac{1-0.9918}{1-0.6554}$

= $\frac{0.0082}{0.3446}$

= 0.024

Thus, Percentage of 25 year old men in the 6 footer club that are above 6 feet 5 inches are 2.4%.

4 0

3 years ago

In AABC the measure of angle A is 2x + 3, the measure of angle B is4x + 2. and the measure of angle C is 2x - 1. What are the me

hram777 [196]

Answer:

............................

7 0

2 years ago

Need help with this asap!

My name is Ann [436]

Answer:

Step-by-step explanation:

1 ) 2 + 7t [ there are no like terms , so no further simplifying ]

2) 6r + ( - 16 r )

= 6 r - 16 r [ both are like terms ]

= - 10 r

3) (3x + 2 ) + ( 2x - 4 )

= 3x + 2 + 2x - 4

= 3x + 2x - 4 + 2 [ arranging like terms together ]

= 5x - 2

4) (8 n² - 3 n + 6 ) + ( n - 2 )

= 8n² - 3n + 6 + n - 2

= 8n² - 3n + n + 6 - 2 [ bringing like terms together ]

= 8n² - 2n + 4

6 0

3 years ago

Read 2 more answers

HEY U OVER THERE! WANT SOME POINTS ANSWER THIS FOR 35!!!!!!

Anuta_ua [19.1K]

Answer:

Step-by-step explanation:

x + (x+2) + (x+4) + (x+6) + (x+8) + (x+10) = 294
Combine all like terms for x and integers
6x + 30 = 294

Minus 30 on both sides
6x = 264
Divide by 6
x = 44

7 0

2 years ago

Read 2 more answers

The slope of the line whose equation is 3y + 2x =1 is

frez [133]

3y + 2x =1
3y = - 2x + 1
y = - 2/3x + 1/3

slope : - 2/3

7 0

2 years ago