Helpps mee, solve for X in the diagram above.
1 answer:
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Answer:
9.
Step-by-step explanation:
We have been given that dimensions of original photo are 4 inches by 6 inches. We want the photo on the poster to be of dimensions 3 feet by 4 1/2 feet.
First of all we will convert dimensions of poster from feet to inches.
Now let us compare sides of our original photo with corresponding sides of poster.
Now let us compare the second pair of corresponding sides.
We have seen that sides of poster are 9 times the sides of our original photo, therefore, the scale factor of this dilation is 9.
Answer: 39.2
Check out the attached image
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Explanation:
Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached.
Let m = length of side XZ
We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram
Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38
Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m = 39.2
So XZ is roughly 39.2 feet in length
Check out the attached image
============================================================
Explanation:
Draw out the triangle or use the diagram provided by your teacher. It should look something similar to what I've attached.
Let m = length of side XZ
We are given that
angle Y = 75 degrees
angle Z = 67 degrees
which are the green angles shown in the diagram
Use the fact that the three angles (X,Y,Z) add to 180 degrees to find angle X
X+Y+Z = 180
X+75+67 = 180
X+142 = 180
X+142-142 = 180-142
X = 38
Now use the law of sines to find m
sin(X)/YZ = sin(Y)/XZ
sin(38)/25 = sin(75)/m
m*sin(38) = 25*sin(75)
m = 25*sin(75)/sin(38)
m = 39.22309 <<<--- make sure your calculator is in degree mode
m = 39.2
So XZ is roughly 39.2 feet in length