Answer:
x=19°
Step-by-step explanation:
Line n and l form a right angle. We know that because line m and l are parallel to each other and line n crosses through them as a vertical line.
Right angles always add up to 90°.
So, Angle 1 add Angle 2 equals 90°.
4x+9+x-14=90°
Collect the like terms:
Like terms are terms with the same variables and powers.
4x+x=5x
9-14= -5
Form an equation:
5x-5=90°
Do inverse operations to isolate x.
90+5=95°
95÷5=19° (We divide by 5 because, in algebra, when a number is next to a letter, it means times, so we have to do the opposite and divide).
So, x=19°
Hope this helps :)
Answer:
Step-by-step explanation:
With a slope of 1 and a y intercept of -3
y = 1x - 3
y = 1(-2) - 3
y = -5
(-2, -5)
Answer:
Let
a
=
8
and
b
=
8.5
Let the angle between
a
and
b
be
θ
Let the unknown side be
c
As
θ
→
0
,
88
c
→
0.5
As
θ
→
180
∘
,
88
c
→
16.5
So the lenght of side
c
will be in the interval:
0.5
<
c
<
16.6
Step-by-step explanation:
Answer:
x=-2
Step-by-step explanation:
6(x + 1) = -2(3x + 9)
Distribute 6 and -2.
6x+6=-6x-18
Move the variable to the left-hand side and move the constant to the right and change their signs.
6x+6x=-18-6
Collect like terms.
12x=-24
Divide both sides of the equation by 12.
x=-2
Hope this helps :)