The value of x is 12.15 inches when both the rectangles are similar.
According to the question,
We have the following information:
We have two figures of rectangle which are similar and measurements of their length and width is given.
We know that when two figures are similar then it means that the ratio of their corresponding sides are equal.
So, we have the following expression for these two rectangles:
40/18 = 27/x
Using the cross multiplication method:
40*x = 18*27
Dividing both the sides of the equation by 40:
x = (18*27)/40
x = 12.15 inches
Hence, the value of x is 12.15 inches when both the rectangles are similar.
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6y + 12 = 3y - 3
Subtract 3y on both sides
3y + 12 = -3
Subtract 12 on both sides
3y = -15
Divide by 3 on both sides
y = -5
#17, x=24
#19, ×=31 are the answers
Answer:
<h2>Reflection.</h2>
Step-by-step explanation:
The image attached shows a representation of the problem, there you can observe the congruence between triangles.
Also, using the images you can easily deduct the transformation we need to map one triangle onto the other one, we just need to reflect one triangle across and axis that pass through point M, such line acts like a mirror.
Therefore, the right answer is reflection.
Complete question is;
It took Priya 5 minutes to fill a cooler with 8 gallons of water from a faucet that was flowing at a steady rate. Let w be the number of gallons of water in the cooler after t minutes. Which of the following equations represent the relationship between w and t? Select all that apply
A) w = 1.6t
B) w = 0.625t
C) t = 1.6w
D) t = 0.625w
Answer:
Option A: w = 1.6t
& Option D: t = 0.625w
Step-by-step explanation:
We are told It took Priya 5 minutes to fill a cooler with 8 gallons of water at a steady rate.
Thus;
Rate of filling = 8 gallons/5 minutes = 1.6 gallons/minutes
Now, we are told that w is the number of gallons of water in the cooler after t minutes.
Thus, to find w, we will multiply the rate by t minutes.
w = 1.6 gallons/minutes × t minutes
w = 1.6t gallons
Or we can write as;
w/1.6 = t gallons
0.625w = t gallons
Therefore, options A & D are correct.