The values gotten for the coordinate plane are;
- The distance between the x-coordinate of R and T is 3.
- The distance between the y-coordinate of R and T is 6.
- R' is (-1, 2) from T, so the coordinates of R' are (2, 0).
<h3>Why the above values?</h3>
The Reason for the obtained value is that since thee rule for the dilation of ΔRST is:
- The vertices of the given triangle are R(0, 4), S(0, -2), T(3, -2)
Then, the distance that exist between the x-coordinate of R and T will be:
3 - 0
= 3
Then the distance between the y-coordinate of R and T will be:
4 - (-2)
= 6
Note that the location of the point R' is said to be relative to point T and as such:
The location of point R'
= (-1 + 3, 2 - 2)
= R'(2, 0)
Hence R' is (-1, 2) from T, and the coordinates of R' is (2, 0)
Therefore, The values gotten for the coordinate plane are;
- The distance between the x-coordinate of R and T is 3.
- The distance between the y-coordinate of R and T is 6.
- R' is (-1, 2) from T, so the coordinates of R' are (2, 0).
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Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Answer:
y > 2x + 1
Step-by-step explanation:
1 is the y-intercept
The slope is 2/1 (aka 2)
Answer:
14.25
Step-by-step explanation:
14 25/100= 14*100+25/100=
1400+25/ 100
= 1425/100
= 14.25
Data not presented, please attach diagram.