Answer:
Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.
Step-by-step explanation:
Given:
In Δ PQT
PQ = 30 ft
QT = 28 ft
TP = 20 ft
In Δ QRS
QR = 15 ft
RS = 14 ft
SQ = 10 ft
To Prove:
Δ PQT ~ Δ QRS
Proof:
First we consider the ratio of the sides
..............( 1 )
..............( 2 )
..............( 3 )
So By equation ( 1 ), ( 2 ) and ( 3 ) we get

Now in Δ PQT and Δ QRS we have

Which are corresponding sides of a similar triangle in proportion.
∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved
<span>Compound
interest formula</span>

Where
<span>
A= Future value
P =
the Principal (the initial amount of money)
r = annual interest rate</span>
t = time
<span>n=
number of times compounded in one t
Remark
----------------------------------------------------------------------------------
r is generally a percentage like 3%, 7% etc and
are applied in the formula as 0.03, 0.07...,
the interest is compounded generally annually (
n=1), quarterly (
n=4),
monthly (
n=12), etc...
t is in years,
In our problem:
</span>
A= 30 000
P =20 000
r = 15%=0.15
time = t = ?
n= 4
applying the formula:



75% of 12 months is 3/4 of 12 months, which is 9 months
Answer: 2 years, 9 months
Step-by-step explanation:
which expression there is no expression here
For the answer to the question above,
In 1 minute, bison runs 3520 feet
In 60 minutes, the bison would run
3520*60 feet
211200 feet per hour.
These are equivalent to;
40 miles per hour since 1 mile is equivalent to 5280 feet.
The bison is faster by 10 miles per hour
Then If you convert the bison's speed to mph you get that it can run at speeds up to 40 mph.
I got this by seeing how many feet that they run in one hour so 3520 x 60 is 211200 which divided by 5280 is 40 mph.
I hope my answer helped.
Let's solve for x.
−x+9y=−5
Step 1: Add -9y to both sides.
−x+9y+−9y=−5+−9y
−x=−9y−5
Step 2: Divide both sides by -1.
−x ÷ −1 = −9y−5 ÷ −1
x=9y+5
THE ANSWER FOR THE OTHER EQUATION: (x-5y=1)
Let's solve for x.
x−5y=1
Step 1: Add 5y to both sides.
x−5y+5y=1+5y
x=5y+1
Answer:
x=5y+1
I hope this helped I was a little confused on what your problem meant...so if this is not what you asked for just lmk so I can fix it for you :)