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3 years ago

Triangle ABC is transformed to triangle A′ B′ C′, as shown below:

Mathematics

1 answer:

Serhud [2]3 years ago

3 0

Answer:

a. The measure of angle ABC = The measure of angle A prime B prime C

Step-by-step explanation:

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Which of the following statements are true? Select all that apply.

Tom [10]

Answer: The statements in options 2 and 4 are true.

Explanation:

The LCM of two numbers is the smallest number that is multiple of both numbers.

The factor of 8 and 12 are,

$8=2\times 2\times 2$

$12=2\times 2\times 3$

Since 2 and 2 are common in both but 2 and 3 are not same, therefore the L.C.M. of 8 and 12 is,

$L.C.M.(8,12)=2\times 2\times 2\times 3=24$

Therefore the statement in option 1 is incorrect.

The factor of 6 and 9 are,

$6=2\times 3$

$9=3\times 3$

Since 3 is common in both but 2 and 3 are not same, therefore the L.C.M. of 6 and 9 is,

$L.C.M.(6,9)=2\times 3\times 3=18$

Therefore the statement in option 2 is correct.

The factor of 11 and 4 are,

$11=1\times 11$

$4=2\times 2$

Since all factor are different, therefore the L.C.M. of 11 and 4 is,

$L.C.M.(11,4)=1\times 11\times 2\times 2=44$

Therefore the statement in option 3 is incorrect.

The factor of 9 and 10 are,

$9=1\times 9$

$10=2\times 5$

Since all factor are different, therefore the L.C.M. of 9 and 10 is,

$L.C.M.(9,10)=1\times 9\times 2\times 5=90$

Therefore the statement in option 4 is correct.

4 0

3 years ago

I need help asap.

DaniilM [7]

1+10 < or equal to 40

5 0

3 years ago

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Whats the Quotient for 95÷5

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

8 0

3 years ago

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What is the Improper Fraction for this number??? 1 3/4

ohaa [14]

Answer:

7/4

Step-by-step explanation:

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3 years ago

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John Jogger purchased a three-year membership at a local fitness center at the beginning of the year. It cost him $395 per year.

balu736 [363]

1. We need to find how many times John Jogger went to the gym.

He goes 2x weekly for 13 weeks.

13 x 2 = 26 times in the first 3 months.

We still have another 9 months left. He goes twice monthly for each month.

9 x 2 = 18.

We add the total times he went to the gym for the first 3 months to the other 9 months in the year.

26 + 18 = 44 times in one year. If we repeat this for 3 years, you get 44 x 3 = 132 gym visits in three years.

The gym membership is $395 per year. For three years this is 395 x 3 = $1185.

He went to the gym 132 times for a total of $1185. To find the price per visit, divide the total price by the amount of times he went to the gym.

1185/132 = ~$8.98 per gym visit.

2. If 13 weeks = 3 months (1/4 of a year), then there are 52 weeks per year.

If he goes twice every week for 52 weeks, that's 52 x 2 = 104 times per year. If he kept this up for three years, that's 104 x 3 = 312 gym visits in three years.

At the price we found earlier of $1185 for a three-year membership, divide the price by the total number of visits to find the price per visit.

1185/312 = ~$3.80 per gym visit.

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3 years ago

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