Answer:
Two trapezoids labeled V R A S and B U W D. Sides B U and V R contain one tick mark. Sides B D, U W, V S, and R A each contain two tick marks. Sides A S and W D each contain three tick marks. The angles represented by vertex letters U, B, R, and V each contain two tick marks. The angles represented by vertex letters D, W, S, and A each contain one tick mark.
or 
At the point/angle E:
- the adjacent side(side <u>next to</u> the point/angle) is ED
- the opposite side(side of the triangle <u>across</u> from the point/angle) is DF
- the hypotenuse (the<u> longest side</u> of the triangle) is EF.
sin ∠E = 
sin ∠E = 
(simplified)
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
yes
Step-by-step explanation:
10:20=
5 times 2= 10
5 times 4= 20
2:4=
1 times 2=2
2 times 2= 4
1:2
Answer:
A = 5x + 3y
B = 8x + 5y
C = 15x + 11y
Step-by-step explanation:
B = 6x + 2y + 2x + 3y
= 6x + 2x + 2y + 3y
= 8x + 5y
C = 8x + 5y + 7x + 6y
= 8x + 7x + 5y + 6y
= 15x + 11y
A = 7x + 6y - 2x - 3y
= 7x - 2x + 6y - 3y
= 5x + 3y
