Answer:
x=155
Step-by-step explanation:
(2x-120)+10=180
or,2x-130=180
or,2x=180+130
or,2x=310
or,x=310÷2
x=155
Answer:
n=3
Step-by-step explanation:
20+20+20 length +width+ height
20×3
Answer: " 94. 6 ft² ".
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<u>Step-by-step explanation</u>:
The formula for the area of a trapezoid:
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A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;
in which:
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"A = area (in units of ft²) "
"b1 = length of (base one) = 7.7 ft (from diagram) ;
"b2 = length of (base two—the other base) = 14.3 ft. ;
"h = height (perpendicular) = 8.6 ft.
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To solve for the Area, "A" ; we plug in the known values:
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A = (1/2) * (b1 + b2) * (perpendicular height, "h" );
= (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;
= (1/2) * (22 ft.) * (8.6 ft) ;
= (11 ft.) * (8.6 ft.) ;
= (11) * (8.6) * (ft.) * (ft.) ;
= (11) * (8.6) * ft² ;
A = " 94. 6 ft² ".
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Hope this is helpful to you!
Best wishes!
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Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
Answer:
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