Answer:
Step 1: It should be m∠m + m∠n + m∠o = 180° (sum of angles in a triangle)
Step-by-step explanation:
He made the mistake in Step 1: m∠m + m∠n + m∠p = 180°
It should be m∠m + m∠n + m∠o = 180°
Then only, he can equate it with m∠o + m∠p in step 3.
So, m∠p is the exterior angle and m∠m and m∠n are the two remote interior angles.
m∠o is the adjacent angle to m∠p. They form a linear pair.
Hence, the correct answer is Step 1.
Answer:
Angles in a triangle add up to 180.
ABG - x + 90 + ANGLE AGB = 180
Angles on a straight add up to 180.
CDE - 8x + ANGLE D + 3x = 180
Alterate angles - ATTACHMENT
ANGLE D = x
8x + x + 3x = 180
12x = 180
x = 180/12
<h2>x = 15</h2>
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
7x− 3 = − 3 + 7x
Step 1: Simplify both sides of the equation.
7x − 3 = −3 + 7x
7x + −3 = −3 + 7x
7x − 3 = 7x − 3
Step 2: Subtract 7x from both sides.
7x− 3 −7x = 7x −3 −7x
−3 = −3
Step 3: Add 3 to both sides.
−3 + 3 = −3 + 3
0 = 0
Answer:
option D
Step-by-step explanation:
(fog)(x) = f(g(x))
Plug in g(x) in f(x)
We plug in 1/x+3 in the place of x in f(x)
To simplify it we take LCD
LCD is (x+3)(x+3)
All the denominators are same so we combine the numerators
Option D is correct
Answer:
Step-by-step explanation:
2k+10 | Both terms share the common factor two, so you can take it out (divide both terms by 2)
2(k+5) | Now if you use the Distributive Property to double check, you get 2k+ 10 again
