What do you need help with?
Okay, first let's look at what they give us!
The measure of angle 2 is 3x + 1
Measure of angle 3 is 2x + 4
And they give us that one angle is right which means it is 90°
Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:
3x + 1 + 2x + 4 + 90 = 180
First we will add together liked terms!
3x + 2x = 5x
1 + 4 + 90 = 95
This gets us:
5x + 95 = 180
Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:
5x = 85
Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:
x = 17
Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!
3(17) + 1
51 + 2 to get us 52!
Answer: 52
The coordinate of the point T after the given transformations is; T''(-2, -4)
<h3>How to carry out Translation Transformations?</h3>
We are given the coordinates of the rectangle STUV as;
S(-7, 6)
T(-2, 6)
U(-2, 1)
V(-7, 1)
Now, we are told that all these coordinates are translated using the transformation rule; (x, y) → (x − 2, y − 4)
Thus, the new coordinates using this transformation rule are;
S'(-9, 2)
T'(-4, 2)
U'(-4, -3)
V'(-9, -3)
Now, we are told that these new points are rotated 90° counterclockwise and as such the new coordinates formed will follow the pattern (x, y) → (-y, x).
Thus, our final coordinates are;
S''(-2, -9)
T''(-2, -4)
U''(3, -4)
V''(3, -9)
Thus, the coordinate of the point T after the given transformations is; T''(-2, -4)
Read more about Translation Transformation at; brainly.com/question/4289712
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All except 0. The inequality is saying that x must be less than or equal to 3 which all answers except 0 are.
