Answer:
x = 2
Step-by-step explanation:
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
→ Expand the brackets
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
⇒ Substitute in the values
⇒ Simplify
⇒ Simplify further
0 = 0
The solution x = 2 is correct
Answer: seven feet more than the height is h+7
Step-by-step explanation:
Let’s say height = h
Seven feet “MORE than the height” indicates that this is an addition problem. Therefore, seven feet more than the height is h+7.
Answer:
The distance between A and B is 13.6
Step-by-step explanation:
Distance formula=√(x2-x1)²+(y2-y1)²
Where
x1=-7
x2=6
y1=-1
y2=-5
Putting in the formula
Distance=√(6+7)²+(-5+1)²
D=√(13)²+(-4)²
D=√169+16
D=√185
D=13.6
Hello!
Angle POQ and angle MON are vertical which means they are congruent
x - 28 = 149
Add 28 to both sides
x = 177
Angle NOQ and angle NOM are supplementary meaning they add to 180
NOQ + NOM = 180
Put in the known angle
NOQ + 149 = 180
Subtract 149 from both sides
NOQ = 31
The answers are x = 177 and angle NOQ = 31
Hope this helps!
Answer:
a = 6
Step-by-Step Explanation:
9 + 8a = 57
8a = 57 - 9 (subtract 9 from both sides)
8a = 48 (then divide 8 from both sides to get "a" alone)
a = 48/8
a = 6
