Triangle WHA and WCT are similar, so corresponding parts are similar to one another. In particular,
WH / WC = WA / WT = HA / CT
which means
WH / WC = WA / WT
2 / (2 + (x - 1)) = 3 / (3 + (x + 1))
Solve for x :
2 / (1 + x) = 3 / (4 + x)
2 (4 + x) = 3 (1 + x)
8 + 2x = 3 + 3x
5 = x
and also
WH / WC = HA / CT
2 / (1 + x) = y / 12
2 / (1 + 5) = y / 12
2 / 6 = y / 12
y = 4
Answer:
Answer:
y = 16/25x³
Step-by-step explanation:
If y is inversely proportional to a^3, this is expressed as;
y∝1/a³
y = k/a³ where k is the proportionality constant
Given a=2, y=10, then 10 = k/2³
k = 10*2³
k = 80
Substituting k = 80 back into the formula;
y = 80/a³ ............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = 20/4
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = 80/a³
y = 80/(5x)³
y = 80/125x³
y = 16/25x³
Hence the formula for y in terms of x is y = 16/25x³
Step-by-step explanation:
Area of a trapezoid = ((a+b)/2) * h
a = x + x
b = z + z
h = y
A = ((4 + 12)/2) * 6
A = ((16)/2) *6
A = 8 * 6
A = 48
answer is B
Answer:
Yes: A, B, F
No: C, D, E
Step-by-step explanation:
2(x + 7) = 36
First divide both sides by 2
(x + 7) = 36/2
x + 7 = 18
Or
2(x + 7) = 36
2x + 14 = 36
Or,
2(x) + 2(7) = 36
<span>A + c + 2b = a + 2b + c
Commutative property
hope that helps</span>