Hello!
The two angles pictured are corresponding angles, so they are congruent.
Therefore:
17x - 4 = 12 + 15x
Isolate for x by subtracting 15x from both sides:
2x - 4 = 12
Add 4 to both sides:
2x = 16
Divide both sides by 2:
x = 8.
Simplify the expression. Explain each step 7(4y)
1 answer:
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Answer:
4x + 9y = - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
9x - 4y = - 5 ( subtract 9x from both sides )
- 4y = - 9x - 5 ( divide terms by - 4 )
y = x +
← in slope- intercept form
with slope m =
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, then
y = - x + c ← is the partial equation
To find c substitute (- 9, 3 ) into the partial equation
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = - x - 1 ( multiply through by 9 to clear the fraction )
9y = - 4x - 9 ( add 4x to both sides )
4x + 9y = - 9 ← equation in standard form
I hope this helps I believe this is correct
