Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
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To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m = =
= 4
The side MK measures 3.3 feet.
Step-by-step explanation:
Step 1:
In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.
To determine the value of x, we determine the value of the cos of the given triangle.
To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.
Step 2:
The length of the adjacent side = x feet.
The length of the hypotenuse = 3.6 feet.
So the adjacent side of the triangle measures 3.2626 feet. Rounding this off to the nearest tenth, we get that MK measures 3.3 feet.
