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3 years ago

Help me plsss i am soo bad at this

Mathematics

1 answer:

lara [203]3 years ago

8 0

Step-by-step explanation:

GIVEN: O is the mid point of AC & BD.

Therefore, AO = CO & BO = DO

$\therefore \: AO \: \cong \: CO.. (given) \\ \\ \: \: \: \: \angle \: AOB \: \cong \:\angle \:COD\\..(vertically\:opposite\:angles) \: \\ \\ \& \: \: \: BO \: \cong \: DO.. (given) \\ \\ \therefore \triangle \: AOB \: \cong \: \triangle \:COD \\ ..(by \: SAS \: test \: of \: congruence ) \\ \\ \therefore AB = CD.. \\ (Corresponding \: sides \: of \: congruent \: triangles)$

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Step-by-step explanation:

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3 years ago

A car dealership sold 265 cars in 5 months. At what rate did the dealership sell cars in cars per month?

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2 years ago

Fred flips a coin, spins the spinner, and rolls a standard number cube. Find the probability that the coin will show tails, the

Inessa05 [86]

Answer:

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

Step-by-step explanation:

Given : Fred flips a coin, spins the spinner, and rolls a standard number cube.

To find : The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three ?

Solution :

First we find probability one by one,

1) Flips a coin - Head, Tail

Total number of outcome = 2

Favorable outcome (getting a tail) = 1

Probability that the coin will show tails is $P(T)=\frac{1}{2}$

2) Spins the spinner - yellow, green, blue

Total number of outcome = 3

Favorable outcome (land on yellow or green) = 2

Probability that the spinner will land on yellow or green $P(S)=\frac{2}{3}$

3) Rolls a standard number cube - 1,2,3,4,5,6

Total number of outcome = 6

Favorable outcome (show a three) = 1

Probability that the cube will show a three $P(C)=\frac{1}{6}$

The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is

$P=P(T)+P(S)+P(C)$

$P=\frac{1}{2}+\frac{2}{3}+\frac{1}{6}$

$P=\frac{3+4+1}{6}$

$P=\frac{8}{6}$

$P=\frac{4}{3}$

Therefore, The probability that the coin will show tails, the spinner will land on yellow or green (out of yellow, green, blue), and the cube will show a three is $\frac{4}{3}$

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