Since its a linear pair,
(2x+4)° + (x+23)° = 180° (Since a linear pair = 180°)
2x+x+4+23 = 180°
3x+27 = 180°
3x = 180° - 27
3x = 153°
x =153/3
x = 51
Therefore, (2x+4)° = 2*51+4
= 106°
&
(x+23) = 51+23
= 74°
Hope you understood!
Ok, so In order to figure the answer we have to know what 1 pint is equal to.
m∠5 = 142°
Solution:
Line l and m are parallel.
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ 38° + m∠7 = 180°
⇒ m∠7 = 180° – 38°
⇒ m∠7 = 142°
∠5 and ∠7 are corresponding angles.
<em>If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.</em>
⇒ ∠5 ≅ ∠7
⇒ m∠5 = m∠7
⇒ m∠5 = 142°
Therefore m∠5 = 142°.
Answer:
y = x - 5
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 )
y = x - 3 ← is in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes, hence
y = x + c ← is the partial equation of the parallel line.
To find c substitute (3, - 2) into the partial equation
- 2 = 3 + c ⇒ c = - 2 - 3 = - 5
y = x - 5 ← equation of parallel line
