Answer:
x = 20
Step-by-step explanation:
the angles shown are supplementary
supplementary angles add up to 180°
hence, 5x - 7 + 3x + 27 = 180
==> combine like terms
8x + 20 = 180
==> subtract 20 from both sides
8x = 160
==> divide both sides by 8
x = 20
4/11 = 0.36 (repeat: 36)
5/11 = 0.45 (repeat: 45)
6/11 = 0.54 (repeat: 54)
7/11 = 0.63 (repeat: 63)
Answer:
The correct answer is:
1. Because of collinearity and supplementarity-
2. They remain along the same line.
3. The sum of them is 180 degrees.
4. Supplementarity.
5. The sum of the internal angles of a triangle is 180ª
6. Supplementarity and external angle theorem sum up the same.
7. Nothing.
Step-by-step explanation:
1. The reason why the exterior angle of 3 is 4, its because the last one is supplementary and collinear to the other.
2. Angle 3 and 4, form a collinear pair since they remain along the same line.
3. Angle 3 is supplementary to 4 because the sum of them is 180 degrees.
4. The sum of the angles are 3 and 4 is 180 because they are supplementary.
5. The sum of the angles mentioned is: 180 because of internal angle theorem.
6. It's like that because supplementarity and external angle theorem sum up the same. i.e, angle 1 + angle 2 + angle 3 = angle 3 + angle 4 =180
7. Nothing.
My guess is he gets heads about half the time
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem.
The sum of angles on a straight line is 180°.
( R ) and ( 2x + 5 ) are both on the same straight line.
Therefore:
Equation No. 1 -
R + 2x + 5 = 180
R = 180 - 2x - 5
R = 175 - 2x
Vertically opposite angles are equivalent to each other.
( R ) is vertically opposite ( 3x + 15 ).
Therefore:
Equation No. 2 -
R = 3x + 15
Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )
R = 3x + 15
175 - 2x = 3x + 15
- 2x - 3x = 15 - 175
- 5x = - 160
x = - 160 / - 5
x = 160 / 5
x = 32
Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).
Equation No. 2 -
R = 175 - 2x
R = 175 - 2 ( 32 )
R = 175 - 64
R = 111
FINAL ANSWER:
Therefore, the answer is:
R = 111
x = 32
Hope this helps! :)
Have a lovely day! <3
