Since this is a right triangle, we can use the Pythagorean Theorem, which states a² + b² = c² in a right triangle.
Plugging our numbers in, we get:
(12)² + (35)² = c²
From there, we can square the numbers.
(144) + (1225) = c²
Then, we can add them together to find the sum;
(1369) = c²
And finally, we can find the square root of both sides.
(37) = c
Therefore, 37 is the answer and your answer choice is correct.
No I do not agree with (2,-4) I believe the solution is (-4,2)
<u><em>Answers:</em></u>
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle
<u><em>Explanation:</em></u>
<u>For shapes to be similar:</u>
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape
Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes
<u>Let's check the choices:</u>
<u>1- </u><span><u>The corresponding sides of the triangles are congruent:</u>
This option is incorrect as dilation changes the lengths of the sides
<u>2- </u></span><span><u>The corresponding angles of the triangles are congruent:</u>
This option is correct as neither dilation nor rotation alters the measures of the angles
<u>3- </u></span><span><u>The corresponding sides of the image are 5 times as long as those of the pre-image:</u>
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image
<u>4- </u></span><span><u>The image is a reduction of the pre-image:</u>
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced
<u>5- </u></span><span><u>Neither the dilation nor the rotation change the shape of the triangle:</u>
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)
<u>6- </u></span><u>The rotation reduces the size of the triangle:</u>
This option is incorrect as rotation does not alter the size of the shape. It only changes its position
Hope this helps :)
Answer:
x>12
Step-by-step explanation:
Answer:
y=9-7x
If x= -1, y=16
If x= 0, y=9
If x=2, y= -5
Step-by-step explanation:
Because you are solving the equation for y, you want to have y by itself on one side. The only way to do that in this problem is by subtracting the 7x on both sides.
y+7x=9
-7x -7x ---> y=9-7x
The next part of the question says to find the value of Y for each value of X. Using the given X values, we plug them into the equation we just got in order to find Y.
y=9-7(-1) ----> y=16
y=9-7(0) ----> y=9
y=9-7(2) ----> y=-5
