Answer:
The correct option is E. 8
The value of h is 8 unit.
Step-by-step explanation:
Given:
Δ BAD ~ Δ CBD
AC = 20
DC = 4
∴
To Find:
h = ?
Solution:
Δ BAD ~ Δ CBD ................Given
If two triangles are similar then their sides are in proportion.
On substituting the given values we get
The value of h is 8 unit.
Answer:
You have 15 dimes. You have 9 quarters. You have 12 nickels
Step-by-step explanation:
lets set some variables:
let "n" = the number of nickels
let "d" = the number of dimes
let "q" = the number of quarters
So, the total amount of money you have should be: $4.35 = 0.25q + 0.10d + 0.05n
Now let's look at the relationships between the coins:
"There are three fewer quarters than nickels": n - 3 = q
"six more dimes than quarters": q + 6 = d
So now you have three equations with three variables, all you need to do is solve.
first, you can substitute "n-3" for "q" (according to the 2nd equation) in the 1st and 3rd equation, you get:
You now only have two equations and two variables.
Simplify:
Now substitute "n+3" for "d" (according to the 2nd equation) in the 1st equation:
4.35=0.30n-0.75+0.10(n+3)
simplify:
4.35=0.30n-0.75+0.10n+0.30
4.35=0.40n-0.45
4.35+0.45=0.40n
4.80=0.40n
n=12
You have 12 nickels. Now sub "n" back into your equations to find the number of dimes and quarters:
n - 3 = q
12 - 3 = q
q = 9
You have 9 quarters.
q + 6 = d
9 + 6 = d
d = 15
You have 15 dimes.
<em>Write any 4 laws, or properties, of exponents.</em>
<em />
<em> </em>
When we multiply together numbers with the same base,
we add the exponents.
When we divide numbers with the same base, we
subtract the exponents.
If we have a fraction to a power, we raise the numerator and
the denominator to that power.
And then last but not least,
If we have a number with a negative exponent, we flip it over.
<h3>Good luck with your studies.</h3>#TogetherWeGoFar