Answer:
x = 30 ∠A = 132 degrees
Step-by-step explanation:
Set the equations equal to each other to solve for x
5x - 18 = 3x + 42
-3x - 3x Subtract 3x from both sides
2x - 18 = 42
+ 18 + 18 Add 18 to both sides
2x = 60 Divide both sides by 2
x = 30
Now plug this into the equation for angle A
∠A = 5(30) − 18 Multiply
∠A = 150 - 18 Subtract
∠A = 132 degrees
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We would divide the shape into a rectangle and a trapezium
The rectangle is of length, 24.5 ft and width 10.75 ft
Area = 24.5 * 10.75 = 263.375 square feet.
Trapezium : Parallel sides are 18.5 ft and 24.5 ft
Height: 12 - 10.75 = 1.25ft
Area of Trapezium = (1/2)*(Sum of Parallel sides)*height
= 1/2 * (18.5+24.5)* 1.25
= 1/2 * 43* 1.25 = 26.875
Total Area = Area of Rectangle + Area of Trapezium
= 263.375 + 26.875 = 290.25
Area = 290.25 ft² (D)
Answer:

Step-by-step explanation:
First at all, we need to use
to convert this expression into a fraction, like:
to convert into
.
Expand the fraction to get the least common denominator, like

Write all numerators above the common denominator, like this:

The bottom one used the same way to became simplest form, like this:




And it became like this:

Now, we are going to simplify this complex fraction. We can use cross- multiply method to simplify this fraction.

3y-2(5) and 5y-1(3)
and it will becomes like this in function form:

Then, we should distribute 5 through the parenthesis


And.... Here we go. That is the answer.
Answer:
x = 36
Step-by-step explanation:
the 3 angles form a straight angle and sum to 180°
sum the 3 angles and equate to 180
3x + x + x = 180 , that is
5x = 180 ( divide both sides by 5 )
x = 36