Can somebody please explain how to do this please? (5 points)
1 answer:
Look at the picture.
∠2 and ∠3 are Corresponding Angles. j || k, thereofre m∠2 = m∠3.
∠1 and ∠3 are supplementary angles, therefore m∠1 + m∠3 = 108°.
m∠1 = 10x + 4, m∠2 = m∠3 = 4x - 6. Therefore we have the equation:
(10x + 4) + (4x - 6) = 180
(10x + 4x) + (4 - 6) = 180
14x - 2 = 180 <em>add 2 to both sides</em>
14x = 182 <em>divide both sides by 14</em>
x = 13
10x + 4 = 10(13) + 4 = 130 + 4 = 134
4x - 6 = 4(13) - 6 = 52 - 6 = 46
<h3>Answer x = 13, m∠1 = 134°, m∠2 = 46°</h3>
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Answer:
see explanation
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 )
Rearrange x + 5y = 10 into this form
Subtract x from both sides
5y = - x + 10 ( divide all terms by 5 )
y = - x +2 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes, hence
y = - x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = - + c ⇒ c =
y = - x +
← equation of parallel line