no, y does not relate to x. x is going down by .5 and y is going down by a third of the original number.
C = 84 degrees
A = 2B
C = A + 20
A + B + C = 180
A = 2B
A/2 = B
A + (A/2) + (A+20) = 180
multiply each side by 2
2A + A + 2A + 40 = 360
combine like terms
5A + 40 = 360
subtract 40 from both sides
5A = 320
divide both sides by 5
A = 64
C = A + 20
C = 64 + 20
C = 84
1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.
In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.
4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40
This yields x = 5 cm
2) set up a proportion, similar to the first question.
(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10
the length of BC is (x + 4) + (2x + 1) = 3x + 5
this means BC = 35
Answer:
V = 6x²(2x - 5)
Step-by-step explanation:
Factor the dimensions, that is
24x² + 6x = 6x(4x + 1) ← common factor of 6x
x² - x = x(x - 1) ← common factor of x
The product lwh can now be written
V = 
× (2x - 5) × 
Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominators
V = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form
21:30 and 35:50
Explain:
21:30➗3 =7:10
35:50➗5=7:10
