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stira [4]
4 years ago
10

The congruence theorem that can be used to prove ALON

Mathematics
1 answer:
Arisa [49]4 years ago
3 0

Answer:

SSS is the congruence theorem that can be used to prove Δ LON  is congruent to Δ LMN ⇒ 1st answer

Step-by-step explanation:

Let us revise the cases of congruence

  • SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
  • SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
  • ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
  • AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
  • HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ  

In triangles LON and LMN

∵ LO ≅ LM ⇒ given

∵ NO ≅ NM ⇒ given

∵ LN is a common side in the two triangles

- That means the 3 sides of Δ LON are congruent to the 3 sides

   of Δ LMN

∴ Δ LON ≅ LMN ⇒ by using SSS theorem of congruence

SSS is the congruence theorem that can be used to prove Δ LON  is congruent to Δ LMN

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"Polio has a basic reproduction number (R0) = 5. The vaccine is very good; in fact, polio vaccine is 99% effective when two foll
yulyashka [42]

Answer:

0.81

Step-by-step explanation:

Herd immunity or community immunity is the immunity seen after vaccination of a population wherein the large portion of the population becomes immune to the pathogen. It depends on vaccine efficacy and vaccination rate.

The reproduction number R_o is a factor indicating the number of people that can be infected by the person with the disease. If Ro=5 then one infected person can infect 5 people with Polio virus.

V_c= q_c/E

V_c= Vaccine coverage

q_c= herd immunity threshold

E= Vaccine efficacy= 99%=0.99

q_c=1-1/R_o= 1-1/5=0.8

V_c= q_c/E

V_c= 0.8/0.99= 0.808= 0.81

Thus, 81% coverage or vaccination for Polio is required to stop spread of Polio in the population.

5 0
3 years ago
Which equation is a point slope form equation for line AB?
sukhopar [10]

Answer:

option 1

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = A(1, 6) and (x₂, y₂ ) = B(5, - 2)

m = \frac{-2-6}{5-1} = \frac{-8}{4} = - 2

Use either of the 2 points for (a, b)

Using (a, b) = (5, - 2) , then

y - (- 2) = - 2(x - 5) , that is

y + 2 = - 2(x - 5)

3 0
4 years ago
What type(s) of symmetry does the figure have? (Check all that apply.)
monitta

2 Answers:  A) line symmetry and B) rotational symmetry

=====================================================

Explanation:

We have line symmetry because we can draw a vertical line down the center, and this is a mirror line. One half folds over the vertical line to match up with the other half. There are other lines of symmetry as well.

We also have rotational symmetry because we can rotate the figure some amount of degrees and have it line up with its original image. The before and after will be identical. This applies to any regular polygon.

8 0
3 years ago
Perform the indicated operations below and simplify ((a+b)/4) + ((2a-b)/5).
ArbitrLikvidat [17]

Answer:

\frac{(a+b)}{4} +\frac{(2a-b)}{5}=\frac{13a}{20} +\frac{b}{20}

Step-by-step explanation:

We have:

\frac{(a+b)}{4} +\frac{(2a-b)}{5}

We can use <em>common denominator</em>.

Observation:

If you have, \frac{a}{b} +\frac{c}{d}=\frac{(a*d)+(c*b)}{b*d}

Then,

\frac{(a+b)}{4} +\frac{(2a-b)}{5}=\frac{5(a+b)+4(2a-b)}{4*5}

Using <em>distributive property</em>:

Observation:

c(a+b)=ca+cb

\frac{5(a+b)+4(2a-b)}{4*5}=\frac{5a+5b+8a-4b}{20}=\frac{(5a+8a)+(5b-4b)}{20}

Finally,

\frac{(5a+8a)+(5b-4b)}{20} =\frac{13a+b}{20}=\frac{13a}{20} +\frac{b}{20}

The answer then is:

\frac{(a+b)}{4} +\frac{(2a-b)}{5}=\frac{13a}{20} +\frac{b}{20}

5 0
3 years ago
Solve for the polynomial 2X +4 =8
Ierofanga [76]
First u want to subtract 4 from both sides and do 8-4 so u get 2x=4 and then u divide by 2 on both sides and get x=2.
Hoped this helped.
4 0
3 years ago
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