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2 years ago

Based only on the information given in the diagram, it is guaranteed that ABC~DEF

Mathematics

2 answers:

slamgirl [31]2 years ago

4 0

False because it doesn’t meet any triangle congruence theoreme

Varvara68 [4.7K]2 years ago

4 0

Answer: False.

Step-by-step explanation:

To prove any pair of triangles similar , some necessary things are needed :-

1) At least two angles :-Two prove a pair of angles are similar , we need at-least two corresponding angles are congruent for AA-similarity criteria.

2) Two sides and one included angle :- To apply SAS similarity criteria , we need two sides of one triangle proportional two two sides of another traingle and one pair of congruent corresponding angle.

3) Three sides :-To apply SSS similarity criteria , we need all the three sides of triangle proportional to the sides of the another triangle.

In the given figure we have given only one angle and one side in each triangle.

To apply any similarity criteria to prove then similar , we need at least an angle or side CB and EF or all the sides.

Hence, on the basis of the given diagram it is not guaranteed that ABC~DEF.

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2 years ago

Nelson Mandela was a South African politician known for fighting racism and inequality. He was president of South Africa until h

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2 years ago

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Glenna wants to rent a car for a trip to key west for one weekshe calls two car rental companies to get prices. mr kotters renta

Korvikt [17]

Answer: Barbarino's rentals has a better deal.

She has to drive 887.5 miles to spend the same amount at either company.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Mr.kotters rentals (A) 

$99 PER WEEK
$0.11per mile over 100 miles

Barbarino's rentals (B) 

$75 per week
$0.15 per mile over 150 miles

For "A"

Cost = 0.11 (432-100) + 99 = $135.52

For "B"

Cost= 0.15 (432-150) +75 = $117.3

Barbarino's rentals has a better deal, since $117.3(B) < $135.52 (A)

To find how many miles would Glenna drive before she would be spending the same amount at either company:

A =B

0.11 (M-100) + 99 =0.15 (M-150) +75 = $117.3

Solving for M (miles)

0.11 M -11+99 = 0.15 M -22.5+75

-11 +99 +22.5 -75 =0.15M -0.11 M

35.5 = 0.04M

35.5/0.04 = M

887.5 =M

She has to drive 887.5 miles to spend the same amount at either company.

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2 years ago

The average lifetime of a certain new cell phone is 3.4 years. The manufacturer will replace any cell phone failing within three

melisa1 [442]

Answer:

68% of these phones last 3.87 years.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The average lifetime of a certain new cell phone is 3.4 years.

This means that $m = 3.4, \mu = \frac{1}{3.4} = 0.2941$

$P(X \leq x) = 1 - e^{-0.2941x}$

68% of these phones last how long (in years)?

This is x for which:

$P(X \leq x) = 0.68$

$P(X \leq x) = 1 - e^{-0.2941x}$

Then

$0.68 = 1 - e^{-0.2941x}$

$e{-0.2941x} = 0.32$

$\ln{e{-0.2941x}} = \ln{0.32}$

$-0.2941x = \ln{0.32}$

$x = -\frac{\ln{0.32}}{0.2941}$

$x = 3.87$

68% of these phones last 3.87 years.

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2 years ago

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2 years ago

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