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kvv77 [185]
3 years ago
8

The following two triangles are similar find x

Mathematics
2 answers:
aksik [14]3 years ago
6 0
Your answer would be 5.
Scale factor= 5 because 45/9= 5
Since it’s a dilation you use the scale factor to find x
So 25/5= 5
slavikrds [6]3 years ago
5 0

Answer:

5

Step-by-step explanation:

As we can see they are similar triangles then

the ratio of the corresponding sides are equal then

x /25 = 9/45

x = 25 * 1/ 5

x = 5

Hope it will help :)

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Complete the general form of the equation of a sinusoidal function having an amplitude of 4, a period of π , and a phase shift t
alex41 [277]

Answer:

4 sin (2x - 4).

Step-by-step explanation:

The amplitude of  sin x = 1 so our curve with amplitude 4 will have 4 sin x as part of the general form. To alter the period from 2pi to pi we multiply the x by 2, giving 4 sin 2x, Finally to get a phase shift of 2 to the right, we replace the x by x - 2.

Our formula is  4 sin (2(x - 2))

= 4 sin (2x - 4).

8 0
3 years ago
If you run for 0.4 hours at 7 mph, how fast should you walk during the next 0.8 hours to have the average speed of 5 mph?
Fantom [35]

Answer:

4 mph

Step-by-step explanation:

The average speed of an object is given by the total distance covered by the time taken:

v=\frac{d}{t}

where

d is the total distance covered

t is the time taken

in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

d_1 = v_1 t_1 = (7)(0.4)=2.8 mi

Then the distance covered in the second part is d_2, so the total distance is

d=2.8+d_2 (1)

The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

t=0.4+0.8=1.2 h

So we can write the average speed as

v=\frac{2.8+d_2}{1.2} (1)

We want the average speed to be 5 mph,

v = 5 mph

Therefore we can rearrange eq.(1) to find d2:

d_2 = 1.2v-2.8 = (1.2)(5)-2.8=3.2 mi

And therefore, the speed in the second part must be

v_2=\frac{d_2}{t_2}=\frac{3.2}{0.8}=4 mph

4 0
3 years ago
Julia can finish a 20-mile bike ride in 1.2 hours. Katie can finish the same bike ride in 1.6 hours. To the nearest tenth of a m
Brums [2.3K]

Answer:

Step-by-step explanation:

julia : 20 miles in 1.2 hrs = (20/1.2) = 16.67 miles per hr

katie : 20 miles in 1.6 hrs = (20 / 1.6) = 12.5 miles per hr

how much faster does julia ride then katie...

16.67 - 12.5 = 4.17 rounds to 4.2 miles per hr faster <==

4 0
3 years ago
Find the unit rate. Explain how you got your answer. <br>$1.00 for 6 lemons​
Dovator [93]

1:6

i got my answer for using ratios

6 0
3 years ago
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snow_tiger [21]

Answer:

The unknown is 100

Step-by-step explanation:

A straight line is 180 degrees

We have two angles x, and 80

x+80 = 180

x = 180-80

x= 100

7 0
3 years ago
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