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3 years ago

Prove the Triangle Proportionality Theorem...

Mathematics

1 answer:

boyakko [2]3 years ago

4 0

Answer:

If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.

Step-by-step explanation:

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4. What is the volume of the pyramid?<br> 7 ft<br> 9 ft<br> 10 ft

xz_007 [3.2K]

Pyramids and cones have volumes which are one third of their matching cuboids and cylinders.

The volume of this pyramid = (7 x 9 x 10)/3 = 630 / 3 = 210 cu ft

8 0

3 years ago

A student S is suspected of cheating on exam, due to evidence E of cheating being present. Suppose that in the case of a cheatin

Kay [80]

Answer:

Step-by-step explanation:

Suppose we think of an alphabet X to be the Event of the evidence.

Also, if Y be the Event of cheating; &

Y' be the Event of not involved in cheating

From the given information:

$P(\dfrac{X}{Y}) = 60\% = 0.6$

$P(\dfrac{X}{Y'}) = 0.01\% = 0.0001$

$P(Y) = 0.01$

Thus, $P(Y') \ will\ be = 1 - P(Y)$

P(Y') = 1 - 0.01

P(Y') = 0.99

The probability of cheating & the evidence is present is = P(YX)

$P(YX) = P(\dfrac{X}{Y}) \ P(Y)$

$P(YX) =0.6 \times 0.01$

$P(YX) =0.006$

The probabilities of not involved in cheating & the evidence are present is:

$P(Y'X) = P(Y') \times P(\dfrac{X}{Y'})$

$P(Y'X) = 0.99 \times 0.0001 \\ \\ P(Y'X) = 0.000099$

(b)

The required probability that the evidence is present is:

P(YX or Y'X) = 0.006 + 0.000099

P(YX or Y'X) = 0.006099

(c)

The required probability that (S) cheat provided the evidence being present is:

Using Bayes Theorem

$P(\dfrac{Y}{X}) = \dfrac{P(YX)}{P(Y)}$

$P(\dfrac{Y}{X}) = \dfrac{P(0.006)}{P(0.006099)}$

$P(\dfrac{Y}{X}) = 0.9838$

5 0

3 years ago

A system of equations and its solution are given below.

ddd [48]

Answer:

a would be correct

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

KLMN ~ PQRS (more practice with similar figures)

qaws [65]

Answer:

6. x=4

7. x=9

8. x= 13

Step-by-step explanation:

3 0

3 years ago

At a supermarket, a 6-ounce bottle of

White raven [17]

Answer:

The 14 oz bottle has the lowest cost per ounce.

Step-by-step explanation:

$3.36/14

7 0

3 years ago