<em>Question:</em>
<em>Triangles PQR and RST are similar right triangles. Which proportion can be used to show that the slope of PR is equal to the slope of RT?</em>
Answer:

Step-by-step explanation:
See attachment for complete question
From the attachment, we have that:





First, we need to calculate the slope (m) of PQR
Here, we consider P and R

Where


becomes
--------- (1)
Next, we calculate the slope (m) of RST
Here, we consider R and T

Where


becomes
---------- (2)
Next, we equate (1) and (2)

<em>From the list of given options (see attachment), option A answers the question</em>
Mr. Kyle will be expected to pay $8,100.
The total cost for his land would be 120 x 90 = 10,800.
Since the city is paying 25%, he must pay the other 75%.
0.75 x 10800 = 8100
Answer:
20 m by 10 m
Step-by-step explanation:
let w be width and l be length , then
2(l + w) = 60 ( divide both sides by 2 )
l + w = 30 ( subtract w from both sides )
l = 30 - w → (1)
lw = 200 → (2)
Substitute l = 30 - w into (2)
w(30 - w) = 200 ← distribute parenthesis on left side
30w - w² = 200 ( subtract 200 from both sides )
30w - w² - 200 = 0 ( multiply through by - 1 )
w² - 30w + 200 = 0 ← in standard form
(w - 10)(w - 20) = 0 ← in factored form
Equate each factor to zero and solve for w
w - 10 = 0 ⇒ w = 10
w - 20 = 0 ⇒ w = 20
Substitute these values into (1)
l = 30 - 10 = 20
l = 30 - 20 = 10
dimensions of field is 20 m by 10 m
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
You first convert the 2 minutes and 30 seconds to 150 seconds.
Then, you take the 150s÷5m to get the number of seconds per mile.
The answer is 30s/m