The measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
<h3>What is the scale factor?</h3>
The scale factor is the ratio of the length of a side of one figure to the length of the corresponding side of the other figure. It is a process of enlarging the image of an object by some factor.
here we have the scale factor
Since the triangle, TUV is dilated by the scale factor 1/3 then the sides of triangle will also be in the same dilation so we can write.
Hence the measure side UV will equal 11 if triangle TUV is dilated by a scale factor 1/3 having a side U'V'=33.
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Answer:
-3<x<=2
Step-by-step explanation:
-4<3x+5<=11
-5 -5 -5
<u>-9<3x<=6</u>
3 3 3
-3<x<=2
Answer:
10m
Step-by-step explanation:
We can set up an equation to solve this.
This equation can be created since we are given two similar sides of both triangles.
Now, cross multiply and simplify to solve for 
.
The answer is sensible, and if you put 10 into the same equation from earlier, you will see that it is accurate.
Therefore, the value of is 10m.
If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
<h3>What is speed?</h3>
Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:
Speed=Distance/ Time.
<h3>How to calculate speed?</h3>
We have been given that the speed of stream is 7miles per hour.
Let v be the speed of the boat, and t the time to travel
98=t*(7+v) (1)
49=t(v-7) (2)
(1)+(2) => 2tv=147
7t+(49+7t)=98
14t+49=98
14t=49
t=49/14
t=7/2
Put the value of t in equation 1 to get the value of v:
98=t(7+v)
98=7/2(7+v)
196/7=7+v
28=7+v
v=28-7
v=21
Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
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