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2 years ago

Consider the figure below. Line FG is parallel to line JK.

Mathematics

1 answer:

Svet_ta [14]2 years ago

6 0

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

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Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

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investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

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3 years ago

Solve the equation for x.

ivann1987 [24]

Answer:

x = 44

Step-by-step explanation:

sqrt(x+5) -3 =4

Add 3 to each side

sqrt(x+5) -3+3 =4+3

sqrt(x+5) =7

Square each side

(sqrt(x+5))^2 =7^2

x+5 = 49

Subtract 5 from each side

x+5-5 = 49-5

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2 years ago

Read 2 more answers

the small and the large intestine are part of the digestive system the small intestine longer than the large intestine and every

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5 + n = large intestine :-):-):-)

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2 years ago

a beverage is made by mixing 3 parts of water with 5 parts of fruit juice how many parts of water are mixed with 1 part on fruit

Fittoniya [83]

Answer:

$\frac{3}{5}=0.6$

Step-by-step explanation:

Given the initial ratio of 3 parts water to 5 parts fruit juice, you can set up a proportion (equivalent ratios) to determine the amount of water needed with just 1 part of fruit juice:

$\frac{water}{fruit}=\frac{3}{5}=\frac{x}{1}$

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divide: 5x/5 = 3/5 or x = 3/5

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2 years ago

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At a convenience store, you have a choice of five diet drinks, 10 regular drinks, six bags of fat-free chips, and 10 bags of reg

emmainna [20.7K]

Answer:

d) 5/12

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Drinks:

Five diet, 10 regular.

Probability of a regular drink:

10/(10+5) = 10/15 = 2/3

Regular bag of chips:

6 fat-free, 10 regular

Probability of a regular bag of chips:

10/(10+6) = 10/16 = 5/8

What is the probability that you will buy a regular drink and a regular bag of chips?

Drink and chips are independent events, which means that we just multiply the probabilities. So

$\frac{2}{3}*\frac{5}{8} = \frac{2*5}{3*8} = \frac{10}{24} = \frac{5}{12}$

The correct answer is given by option d.

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2 years ago