Step-by-step explanation:

Answer:
x=9
Step-by-step explanation:
PQ + QR + RS = PS
2x-6 + 1 + x-4 = 18
Combine like terms
3x -9 = 18
Add 9 to each side
3x-9+9= 18-9
3x = 27
Divide by 3
3x/3 = 27/3
x = 9
We sketch two triangles, DFE and DGH, as shown below
Side DF correspond to side DG, the scale factor is 40÷32=1.25
Side DE correspond to side DH, the scale factor is 30÷24=1.25
That leaves us with the last corresponding sides, EF and HG which would also have a scale factor 1.25
Both triangles share the same angle D
We can conclude triangle DFE and triangle DGH are similar for property SSS and SAS
A = 103 ft²;
A = l²
l² = 103
l = √ 103 = 10.14889 ≈ 10.1
Answer: C ) 10.1 feet
Answer: she will have $2042.4 have in the account after 1 year.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = $2000
r = 2.1% = 2.1/100 = 0.021
n = 12 because it was compounded 12 times in a year.
t = 1 year
Therefore,
A = 2000(1 + 0.021/12)^12 × 1
A = 2000(1 + 0.00175)^12
A = 2000(1.00175)^12
A = $2042.4