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2 years ago

Consider the diagram and proof by contradiction.

Mathematics

2 answers:

WARRIOR [948]2 years ago

8 0

by the converse of the triangle parts relationship theorem. ed2020

uranmaximum [27]2 years ago

5 0

The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one side of a triangle is longer than another side, then the angle opposite the longer side will have a greater degree measure than the angle opposite the shorter side.

The converse to the Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than another angle, then the side opposite the greater angle will be longer than the side opposite the smaller angle.

Thus, from the proof if AB > AC, then m∠C > m∠B by the converse of the triangle parts relationship theorem.

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According to a study, an average of six cell phone thefts is reported in San Francisco per day. Assume that the number of report

lions [1.4K]

Answer:0.29

Step-by-step explanation:

An average of six cell phone thefts is reported in San Francisco per day. This means our mean value, u = 6

For poisson distribution,

P(x=r) = (e^-u×u^r)/r!

probability that four cell phones will be reported stolen tomorrow=

P(x=4)= (e^-6×6^4)/4!

= (0.00248×1296)/4×3×2×1

= 3.21408/24=

0.13392

P(x=5)= (e^-6×6^5)/5!

= (0.00248×7776)/5×4×3×2×1

= 19.28448/120

= 0.1607

probability that four or five cell phones will be reported stolen tomorrow

= P(x=4) + P(x=5)

= 0.13392 + 0.1607

= 0.294624

Approximately 0.29

8 0

2 years ago

What is the fraction ten fourteenths in it simplest form?

nadya68 [22]

10/14 = 5/7.

5/7 is your answer. Divide both the numerator and the denominator by a number that they both have in common - 2.

3 0

3 years ago

Read 2 more answers

A hostess earned a 5% tip. What decimal is equivalent to 5%?

4vir4ik [10]

Answer:

.05

Step-by-step explanation:

to get a percent, you multiply by 100. so take 5 and divide by 100 to get decimal

4 0

2 years ago

Read 2 more answers

2 2 7 :(0.6x)= 4 21 :0.25 lol my phones taken away until i finish this question help

o-na [289]

Answer:

i don't exactly know what the question is but based off what i understand x=140

Step-by-step explanation:

7 0

2 years ago

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What is the smallest positive integer for x so that f(x)=200(2)* is greater than the value of g(x)=500x+400?

Goshia [24]

We have to functions, namely:

$f(x)=200(2)^{x} \ and \ g(x)=500x+400$

So the problem is asking for the smallest positive integer for $x$ so that $f(x)$ is greater than the value of $g(x)$ , that is:

$f(x)\ \textgreater \ g(x) \\ \therefore 200(2)^{x}\ \textgreater \ 500x+400$

Let's solve this problem by using the trial and error method:

$for \ x=1 \\f(1)=400 \\ g(1)=900 \\ Then \ f(1) \ \textless \ g(1) \\ \\ \\ for \ x=2 \\f(2)=800 \\ g(2)=1400\\ Then \ f(2)\ \textless \ g(2) \\ \\ \\ for \ x=3 \\f(3)=1600 \\ g(3)=1900 \\ Then \ f(3)\ \textless \ g(3) \\ \\ \\ for \ x=4 \\f(4)=3200 \\ g(4)=2400 \\ \boxed{Then \ f(4)\ \textgreater \ g(4)}$

So starting $x$ from 1 and increasing it in steps of one we find that:

$f(x)>g(x)$

when $x=4$

That is, the smallest positive integer for $x$ so that the function $f(x)$ is greater than $g(x)$ is 4.

8 0

3 years ago