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4 years ago

In the parallelogram, m∠KLO = 68 and m∠MLO = 61. Find m∠KJM. The figure is not to scale.

Mathematics

2 answers:

zloy xaker [14]4 years ago

5 0

The measure of angles KLO and MLO add up to 129 degrees. This makes angle KLM. The measure of angle KLM is equal to KJM. They angles are congruent. Therefore...

m angle KJM is equal to 129 degrees :)

laila [671]4 years ago

4 0

Answer:

C. $129^o$

Step-by-step explanation:

We have been given a parallelogram and we are asked to find the measure of ∠KJM.

Since we know that opposite angles of parallelogram are always equal.

We can see that opposite angle of angle KJM is angle MLK. so by parallelogram property:

$m\angle KJM=m\angle MLK$

$m\angle MLK=m\angle KLO+m\angle MLO$

$m\angle MLK=68^o+61^o$

$m\angle MLK=129^o$

$m\angle KJM=129^o$

Therefore, the measure of angle KJM is 129 degrees and option C is the correct choice.

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Answer:

0.4 ; 0.6125

Step-by-step explanation:

Given the following :

Bag 1 : 75 red ; 25 blue

Bag 2: 60 red ; 40 blue

Bag 3: 45 red ; 55 blue

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A) since the probability of choosing each bag is equal :

BAG A:

P(choosing bag A) = 1 / total number of bags = 1/3 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (1/3 × 75/100) = 25/300

BAG B:

P(choosing bag B) = 1/3 ;

P(choosing blue marble) = number of blue marbles / total number of marbles = 40/100

HENCE, choosing a blue marble from bag A : = (1/3 × 40/100) = 40/300

BAG C:

P(choosing bag C) = 1/3

P(choosing blue marble) = number of blue marbles / total number of marbles = 55/100

HENCE, choosing a blue marble from bag A : = (1/3 × 55/100) = 55/300

= (25/300) × (40/300) × (55/300) = (25 + 40 + 55)/300 = 120/300 = 0.4

2) What is the probability that the marble is blue when the first bag is chosen with probability 0.5 and other bags with equal probability each?

BAG A:

P(choosing bag A) = 0.5 ; P(choosing blue marble) = number of blue marbles / total number of marbles = 25/100

HENCE, choosing a blue marble from bag A : = (0.5 × 75/100) = (0.5 * 0.75) = 0.375

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P(choosing bag B) = (1-0.5) / 2 = 0.25 ;

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P(choosing bag C) = (1 - (0.5+0.25)) = 0.25

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HENCE, choosing a blue marble from bag A : = (0.25 × 55/100) = 0.25 × 0.55 = 0.1375

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Answer:

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Step-by-step explanation:

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