Answer:
a. 
b. x = 4 (see steps below)
Step-by-step explanation:
Since the two polygons are similar, the sides are proportional to each other. Using a proportion, you can solve for 'x' using cross-multiplication and division:
Cross-multiply: 15(x + 3) = 21(x + 1)
Distribute: 15x + 45 = 21x + 21
Subtract '15x' from both sides: 15x + 45 - 15x = 21x + 21 - 15x or 45 = 6x + 21
Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x
Divide by 6 on both sides: 24/6 = 6x/6
Solve for x: x = 4
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Let's solve your equation step-by-step.
2 ( x ) = 100
Step 1: Divide both sides by 2.
2 x / 2 = 100 / 2
x = 50
Answer:
x = 50
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F(-2) when F(x)=5^x is 1/25
Answer:
56.842 km/hr
0.947 km / min
15.789 m/s
Step-by-step explanation:
speed = distance / time
let's assume your teacher wants it in km/ hr
28.5 minutes = ? hours
60 minutes = 1 hour
we can multiply both sides of 60 minutes = 1 hour by 28.5/60 to get 28.5 minutes = 28.5/60 hours
distance = 27 km
27 km / (28.5/60) hours = 56.842 km/hr
in km / minute
27 km / 28.5 minutes = 0.947 km / min
in meters/second:
1 minute = 60 seconds
28.5 minutes = ? seconds
we can multiply both sides of the first equation by 28.5 to get
28.5 minutes = 1710 seconds
27 km = ? meters
1 km = 1000 meters
we can multiply both sides of the second equation by 27 to get
27km = 27000 meters
27000 meters / 1710 seconds = 15.789 m/s
