Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
Answer:
42.2% of the applications came from small businesses
Step-by-step explanation:
the percentage of applications that came from small businesses can be calculated through:
percentage from small businesses = applications from small businesses / total number of applications = 30 / (23+18+30) = 0.422 (42.2%)
Step-by-step explanation:
15. If f(x) = 20x, adding a $10 fee for cleaning would be
g(x) = 20x + 10
The graph of g(x) is shifted 10 units up from the graph of f(x).
16. f(x) = 2x + 1
g(x) = (2x + 1) + 5
h(x) = 3f(2x + 1)
g(x) shifted f(x) 5 units to the right.
h(x) is 3 times steeper than f(x).
If this is the correct answer, then please give it the brainliest.
Answer:
120ft/sec
Step-by-step explanation:
Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):
720 ft/6 sec = 120 ft/1 sec
For every second, the skydiver drops 120 ft.
120ft/sec.
~
To find the circumference of a circle, just multiply the diameter by π, or 3.14.
Since we are including the frame in the diameter, the new diameter would be 37 inches.
37π ≈ 116.24
So, A) 116.24 is the correct answer!