<em>Answer:</em>
a
<em>Step-by-step explanation:</em>
lets substitute 5 into every equation. (using 5 every time won't work every time ofc)
ok so 5(x+6)=55 would simplify into <em>5x+30=55</em> which in this case would be <em>5(5)+30=55 </em>
and 25 plus 30 (obviously) = 55
so A is the right answer
The angle relationship and their reasons are:
- m∠HED = m∠FEJ ---> Vertical angles theorem
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
- m∠LFG + m∠GFK = 180 ---> linear pair
The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
- m∠HED = m∠FEJ ---> Vertical angles theorem
∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
- m∠LFG + m∠GFK = 180 ---> linear pair
Learn more about angle relationship on:
brainly.com/question/12591450
Random sampling. its where you pick or make a smaple at random
Step-by-step explanation:
x + 6 = 2x - 8
1. Subtract 2x from both sides
x - 2x + 6 = 2x - 2x - 8
2. Simplify
-x + 6 = -8
3. Now, subtract 6 from both sides
-x + 6 - 6 = -8 - 6
4. Simplify
-x = -14
5. Divide both sides by -1 because you would want the x by itself instead of having -x
-1x/-1 = -14/-1
6. Simplify
x = 14 <------ Answer
Hope that helped!!
~Shane
Answer:
= -18/2.25
Step-by-step explanation:
We can find the slope by using the following
m = (y2-y1)/(x2-x1)
= (-12-6)/(3.75 - 1.5)
= -18/2.25
