Answer: <em>1=60°</em>
Step-by-step explanation:
<em>First, let's take our given angle of 30°</em>
<em>30° is in a right triangle, so the angles must be 90°, 60°, and 30°</em>
<em>Now the angle that is 45° makes angle 1 congruent to angle 60°</em>
<em>Meaning angle 1 is </em><em>60°</em>
It’s equal to 1/2 in simplest form
K is the y coordinate of the vertex which is -2.
It is "reflect the graph about the x-axis and translate 2 units up" because the negative in front of the four flips everything over the x axis and 9-7 = 2, which means it moves up the y axis 2 units.
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Answer:
y = 
Step-by-step explanation:
Given
6 | 5y - 1 | - 1 = 29 ( add 1 to both sides )
6 | 5y - 1 | = 30 ( divide both sides by 6 )
| 5y - 1 | = 5
The absolute value function always returns a positive value. However, the expression inside can be positive or negative, thus
5y - 1 = 5 ( add 1 to both sides )
5y = 6 ( divide both sides by 5 )
y = 
OR
- (5y - 1) = 5, that is
- 5y + 5 = 5 ( subtract 5 from both sides )
5y = 0 ⇒ y = 0
As a check substitute these values into the left side and if equal to the right side then they are the solutions.
x = 0 : 6|0 - 1 | - 1 = 6 | - 1| - 1 = 6(1) - 1 = 6 - 1 = 5 ≠ 29
x =
: 6 | 6 - 1 | - 1 = 6(5) - 1 = 30 - 1 = 29
Thus x =
is a solution, x = 0 is extraneous