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STatiana [176]
3 years ago
9

PLEASE HELP ASAP.

Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

x=13

m∠A = 46°     m∠B = m∠C = 67°

Step-by-step explanation:

ΔABC : isosceles    

vertex ∠A = 4x -6

∠B = ∠C = 5x + 2

∠A + ∠B + ∠C = 180° = (4x -6) + 2 * (5x + 2) = 14x - 2

14x = 182       x = 13

∠A = 46°     ∠B = ∠C = 67°

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Step-by-step explanation:

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Step-by-step explanation:

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A round table has 4 legs and a rectangular table has 6 legs. If 10 tables have a total of 52 legs, how many of the legs belong t
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GREYUIT [131]

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Step-by-step explanation:

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Read 2 more answers
Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

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