Answer:
<2 ≅<4 with reason of vertical angle theorem.
Step-by-step explanation:
The vertical angle theorem states that two opposite (non-adjacent) angles formed by 2 intersecting lines have equal measure. In this problem, we are given that the angles are vertical angles. So the statement is that <2 ≅<4 with reason of vertical angle theorem.
6 = 2(x+8) - 5x
⇒ 2x+ 2*8 -5x= 6
⇒ (2x -5x)+ 16= 6
⇒ -3x = 6 -16
⇒ -3x = -10
⇒ x= -10/(-3)
⇒ x= 10/3
⇒ x= 3 1/3
The correct answer is B. 3 1/3~
Use the formula 1/2(base1+base2)height. Substitute the values.
Let’s condense the original expression and see if that’s one of the answers
-1/2(-3/2 x + 6x + 1) - 3x
First we distribute the -1/2
((-1/2)(-3/2 x) + (-1/2)(6x) + (-1/2)(1)) -3x
3/4x - 3x - 1/2 -3x
Combine like terms
(3/4 x - 3x - 3x) -1/2
-21/4 x - 1/2
We could make this a mixed number
-5 1/4 x - 1/2
(Mixed number: 5 times 4 plus one gets the numerator)
So the answer is D
