Answer:
6,529
Step-by-step explanation:
(6x11,000) = 60,000
(5x1,000) = 5,000
(2x110) = 200
(9x1) = 9
So, since the polygons are similar, they will share a scale factor.
The dilation is a reduction.
SF= preimage/image
SF=48/40
SF= 1.2
To find the value of x, multiply 20 by 1.2, so:
20(1.2)=24
Thus, x = 24
Now, to check if the sides are proportional (this will determine if the polygons are, in fact, similar.)
24/20=1.2
48/40=1.2
BTW, the missing side measure for the image is 40 since 48 is its corresponding side, and 48/1.2 (SF) is 40.
Hence, we have 48/40= 1.2
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−(2x+5)=−10−2x
Step 1: Simplify both sides of the equation.
−(2x+5)=−10−2x
−2x+−5=−10+−2x(Distribute)
−2x−5=−2x−10
Step 2: Add 2x to both sides.
−2x−5+2x=−2x−10+2x
−5=−10
Step 3: Add 5 to both sides.
−5+5=−10+5
0=−5
Answer:
There are no solutions.
Answer:
3 km per hour
Step-by-step explanation:
You can deduct the answer instinctively since both the distance and the time of the descent are expressed in /5... so you can just get rid of the '/5' in both instances to get the result: 3 kilometers in 1 hour.
But you can also find it easily using the cross-multiplication system:

Then you multiply each side by 5 to get
3 km = 1 hour
Thus the rate of descent is of 3 km per hour.