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3 years ago

In parallelogram HJKL if m∡HJK=110∘ find m∡JKL.

Mathematics

1 answer:

pav-90 [236]3 years ago

7 0

Answer:

∠ JKL = 70°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary , then

∠ JKL + ∠ HJK = 180°

∠ JKL + 110° = 180° ( subtract 110° from both sides )

∠ JKL = 70°

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In a group of 15 children the ratio of the boy : the girl is 2: 3: 5 more girls join the group. Calculate the percentage of boys

marta [7]

Answer:

Percentage of new group boys = 30%

Percentage decrease for the boys = 10%

Increase percent of the girls = 10%

Step-by-step explanation:

Given:

Number of children = 15

Ratio (Boys to Girls) = 2 : 3

Number of more girls join = 5

Find:

Percentage of boys in new group

Percentage decrease for the boys

Increase percent of the girls

Computation:

Number of boys = 15[2/5]

Number of boys = 6

Number of girls = 15[3/5]

Number of girls = 9

Percentage of boys = [6 / 15]100

Percentage of boys = 40%

Percentage of girls = [9 / 15]100

Percentage of girls = 60%

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New number of boys = 6

New number of girls = 9 + 5 = 14

Percentage of new group boys = [6 / 20]100

Percentage of new group boys = 30%

Percentage of new group girls = [14 / 20]100

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3 years ago

16) The manager of a bulk foods establishment sells a trail mix for $8 per

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Answer:

The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.

Step-by-step explanation:

Let the amount of peanut to use to be x

Let the amount of cashews to use to be 35-x

Form equations to compare amounts for individual foods and the mixture

$8x+15(35-x)=35(14)\\\\8x+525-15x=490\\\\7x=35\\\\x=5\\\\$

So the pounds to be used for peanuts is 5 pounds

The pounds to be used for cashews will be 35-x= 35-5=30 pounds

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