Answer:
Step-by-step explanation:4n+3=60
Answer: The answer is 785.4
Step-by-step explanation: Equation is 2πrh+2πr²
Plug in your numbers and hit enter!
Hope this helps
Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F
Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24
Subtract both sides of the equation by 3x
6x + 12 = 24
Subtract 12 from both sides
6x = 12
Divide both sides by 6
x = 2
This should be your answer. Have an awesome day! :)
Answer:
x>3
Step-by-step explanation:
We are given with the inequation 3(8-4x) < 6(x - 5)
Dividing both sides in the above in equation by 3 we get
(8-4x)<2(x-5)
Distributing 2 over (x-5)
(8-4x)<2x-10
8-4x<2x-10
adding 10 and 4x on both hand sides we get
8+10<2x+4x
18<6x
Dividing both sides by 6 we get
3<x
Hence the solution to the given in equation is x>3
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°