Answer:
36
Step-by-step explanation:
Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.
Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.
Apply triangle formula, base x height divided by 2.

Area of rectangle is length x width so the area is

Subtract 6 from 42.

35.75
explanation-
3.90 ph x 7.5 hours = 29. 25
plus the gas can 6.50
29.25+6.50= 35.75
B: (0, a)
C should have the same y value as B
D: (a,0)
C should have the same x value as D
So point C is (a,a)
Since point A is on the origin, its point is (0,0)
You use the slope formula and plug in point A and C:



m = 1
So the value that belongs in the green box is 1
Answer: x = 37.8
Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.
Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C
Tan C = Opp/Adj
Tan C = 15/18
Tan C = 0.8333
From our table of values/use of the calculator
Tan C = 39.8
Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).
That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.
Tan C = Opp/Adj
Tan 39.8 = 31.5/x
when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side
x = 31.5/Tan 39.8
x = 31.5/0.8333
<u>x = 37.8</u>
Step-by-step explanation:

While subtracting , the sign of each term of second expression changes & remove the parentheses.
⟶ 
Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
⟶ 
⟶ 
In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.

Hope I helped ! ♡
Have a wonderful day / night ! ツ
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