Answer:
The real-life distance between the park and the theatre is of 12 km.
Step-by-step explanation:
Scale of 1:400,000
Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km
What is the real-life distance between the park and the theatre?
On the map, the distance between them is of 3 centimeters.
3*4 = 12
The real-life distance between the park and the theatre is of 12 km.
Let’s let s = sale price per package
r = =regular price per package
c = cost savings.
Answer: c= 3r – 3s
Let's solve for "r" by bringing them all to one side.
-3r=6-4r
+4r +4r
r=6
So, r is equal to 6.
Answer:
When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.
Hopefully this helps!
Answer:
(A) Complements of the same angle are congruent.
Step-by-step explanation:
Since, ∠CEF is complementary to ∠DCF, therefore
∠CEF+∠DCF=90° (1)
Also, ∠CEG=∠CEF+∠FEG
⇒90°=∠CEF+∠FEG (2)
Therefore, from(1) and (2), we get
∠CEF+∠DCF=90°
∠CEF+∠FEG=90°
Subtracting both the equations, we get
∠DCF-∠FEG=0
∠DCF=∠FEG.
Hence, ∠DCF≅∠FEG by the rule: Complements of the same angle are congruent.