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
Answer:
Square pyramid
Step-by-step explanation:
The flat square on the bottom is 1 face and there are 4 triangle faces.
The flat square on the bottom has 4 vertices and there is the pointy 1 at the top that holds the 4 triangles.
Hope dis helps,
Have a great day.
Answer with explanation:
Total number of Children = x Children
Total number of chocolates distributed = y Chocolates
If there are x children, then total number of chocolate got by children= 5 x Chocolate
Number of chocolate got by Adults= 20
Let total number of adults be z.
Expressing the statement in terms of Equation
y = 5 x + 20 z
⇒Number of Adults =z
