distance = 500 feet
Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is
=
= 
completing the required values gives
=
( cross- multiply )
60l = 30 × 100 = 3000 ( divide both sides by 60 )
l = 500
distance across the swamp is 500 feet
Answer:
<h2>x = 3 and y = 4</h2>
Step-by-step explanation:
We know:
The diagonals in a parallelogram divide by halves.
Therefore KG = UG and DG = CG.
We have
KG = 5y - 8, UG = 3y, DG = 4x - 7, CG = x + 2
Substitute:
5y - 8 = 3y <em>add 8 to both sides</em>
5y = 3y + 8 <em>subtract 3y from both sides</em>
2y = 8 <em>divide both sides by 2</em>
y = 4
---------------
4x - 7 = x + 2 <em>add 7 to both sides</em>
4x = x + 9 <em>subtract x from both sides</em>
3x = 9 <em>divide both sides by 3</em>
x = 3
Answer:
r = - 
Step-by-step explanation:
The n th term of a GP is
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 18 and a₆ = -
, then
18
= -
( divide both sides by 18 )
= -
( take the fifth root of both sides )
r =
= - 
Answer:
since we are not given the options, I will write down a few equations that represent the number of French bread loaves and bagels:
- a = number of loaves of French bread
- b = number of bagels
- available amount of flour = 38
2a + b ≤ 38
2a ≤ 38 - b
a ≤ (38 - b) / 2
a ≤ 19 - 0.5b
b ≤ 38 - 2a
b ≤ 2(19 - a)
Hopefully one of these equations is one of the choices given to you.
The cow produces 5 liters a day.
You want to find how much it will produce a day if the cow produces 200% more milk. So, you use the equation p*(1+x/100)
<span>5×(1+200/100)=15</span>