Answer:
<h2>A rotation -90° around point I.</h2><h2>A translation upwards 2 units.</h2><h2>
Step-by-step explanation:</h2>
The given figures are attached.
We have to find two transformations that help to show that both polygon are congruent.
First transformation would be a rotation -90° around point I.
Second transformation would be a translation upwards 2 units.
Applying these transformation, we would have both polygons at the same position, that will show the congruence between them.
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
x = 12
so
m< 6 = </span>11x + 8
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140
m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40
answer
<span>m<4 = 40</span>
Cross multiply.
5.4x=9*25.8
5.4x=232.2 Divide both sides by 5.4
x=43
Answer:
Step-by-step explanation:
the answer of 2-8 is 6 2-8=6
Given that t<span>he x-axis represented the number of small tanks and the y-axis represented the number of large tanks.
Given that </span>h<span>is small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner and there are a total of 72 oz of water conditioners available.
The line representing the various combinations of </span>tanks he could put the water conditioner into is given by 2x + 6y = 72.
Since, t<span>he manager labeled only the intercepts.
The x-intercept is the value of x when y = 0 and is given by
2x + 6(0) = 72
x = 72 / 2 = 36
Thus, the x-intercept is (36, 0)
</span>
<span>The y-intercept is the value of y when x = 0 and is given by
2(0) + 6y = 72
y = 72 / 6 = 12
Thus, the x-intercept is (0, 12)
Therefore, the points labeled by the manager are: (0, 12) and (36, 0)
</span>
