We read your photo as:
Calculate (in a simplified fraction) the probability of choosing a green marble. Solve for y in the following diagram: Consider the diagram alongside. Write down (with reason) the value of x:
ScanSolve AI Answer
Answers
3 partsStep-by-step solution
7 stepsHere are the solutions for the questions:
Part 2
Part 2.1
Calculate (in a simplified fraction) the probability of choosing a green marble.
Identify the number of green marbles and the total number of marbles.
Number of green marbles = 4
Total number of marbles = 40Write the probability as a fraction.
Simplify the fraction.
Divide both the numerator and the denominator by their greatest common divisor, which is 4.
The probability of choosing a green marble is:
Part 3
Part 3.1
Solve for in the following diagram
Identify the relationship between the angles and .
The angles and are adjacent angles on a straight line. Angles on a straight line sum to .
Set up the equation and solve for .
The value of is:
Part 3.2
Consider the diagram alongside. Write down (with reason) the value of
Identify the relationship between the angle and angle .
The angles and are vertically opposite angles.
State the value of and the reason.
Vertically opposite angles are equal.
Therefore, .
The value of is: (Reason: Vertically opposite angles are equal)
Try one yourself
A new problem that tests the same skill.
Still stuck on this one?
Ask a follow-up, and the answer starts from this question.
More Mathematics Questions

Handwritten Step-by-Step Solution
Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.
Try on WhatsApp