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zysi [14]
2 years ago
8

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
Sphinxa [80]2 years ago
3 0

Answer:

2.8

Step-by-step explanation:

tan = opposite / adjacent

( opposite = side opposite of the angle and adjacent = side length that is not the opposite nor the hypotenuse ( longest side ) )

we are given an angle, ∠E = 26°

tanE = x / 5.7

tan26 = x / 5.7

==> multiply both sides by 5.7

5.7tan26 = x

==> simplify

x = 2.8 ( rounded )

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Given the following table, find the equation that matches it.​
bagirrra123 [75]

Answer:

The equation that matches the table is y = -5x + 7 ⇒ C

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept (value y at x = 0)

The rule of the slope is m =  \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

From the given table

→ Choose any two points from the table

∵ Points (0, 7) and (1, 2) are in the table

∴ x1 = 0 and y1 = 7

∴ x2 = 1 and y2 = 2

→ Substitute them in the rule of the slope above

∵ m = \frac{2-7}{1-0}=\frac{-5}{1}

∴ m = -5

→ Substitute it in the form of the equation above

∵ y = -5x + b

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∴ b = 7

∴ y = -5x + 7

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