Answer:
x=-5
Step-by-step explanation:
4(x-5)+2=x+3 As the first step says, distribute the 4 (multiply all numbers in the parentheses by 4).
4x-20+2=x-3 Combine like terms. For example, the -20 and 2 are like terms because they are both their own numbers and not attached to a variable.
4x-18=x-3 Subtract x from each side. Now, we can get x to only one side.
<u>-x -x</u>
3x-18=-3 Add 18 to both sides.
<u>+18 +18</u>
3x=-15 Divide both sides by 3.
<u>/3 /3</u>
x=-5
I hope this helped you!! Have a great day c:
Answer:
no i will not. hdjsjdjdidididididjjdjdjdiwkd
Step-by-step explanation:
DUMMY
Since triangle DEF = triangle JKL, m<D = m<J, m<E = m<K, m<F = m<L.
m<F = m<L = 90 degrees
m<K = m<E = 5(m<D)
but m<E + m<D = 90 degrees [right angled triangle]
5(m<D) + m<D = 90 degrees
6(m<D) = 90 degrees
m<D = 90 / 6 = 15 degrees.
Answer:
b=60
Step-by-step explanation:
All you have to do in this equation is multiply both sides by 20 as we want to have the variable b on one side by itself. Doing this we get 60=b.
The figure is shown below
From the figure
Angle 150 degree and angle p forms angles on a straight
Since the sum of angles on a straight line equals 180 degrees
Hence

Solve for p in the equation

Hence, p = 30
From the figure
Angle p and angle q are vertically opposite angles
Since vertically opposite angles are equal then

Hence, q = 30
Applying the rule of angles on a straight line
This implies

Substitute q = 30 into the equation

Solve for w

Hence, w = 90