We read your photo as:

Find the value of P in the figure below 70° (b) 30° (c) 35° (d) 110°

Mathematics

ScanSolve AI Answer

Answer

C

Step-by-step solution

12 steps

Here are the solutions to the questions:

Part 32· 4 steps

Find the value of P in the figure below.

  1. Recognize that angles on a straight line sum to 180∘180^\circ.

  2. Set up the equation based on the given angles.

    110∘+2P=180∘110^\circ + 2P = 180^\circ
  3. Solve for $2P$.

    2P=180∘−110∘2P = 180^\circ - 110^\circ 2P=70∘2P = 70^\circ
  4. Solve for P.

    P=70∘2P = \frac{70^\circ}{2} P=35∘P = 35^\circ

    The value of P is 35∘35^\circ.

    The correct option is (c).

    c) 35∘\boxed{\text{c) } 35^\circ}

Part 33· 2 steps

Change 3% to fraction in its lowest term.

  1. Convert the percentage to a fraction by dividing by 100.

    3%=31003\% = \frac{3}{100}
  2. Check if the fraction can be simplified.

    The numerator (3) is a prime number. The denominator (100) is not divisible by 3.
    Therefore, the fraction is already in its lowest term.

    The correct option is (a).

    a) 3100\boxed{\text{a) } \frac{3}{100}}

Part 34· 1 step

A line from the centre of a circle to any point on a circumference is called ---

  1. Recall the definition of a radius.

    A radius is a line segment that connects the center of a circle to any point on its circumference.

    The correct option is (b).

    b) radius\boxed{\text{b) radius}}

Part 35· 3 steps

Write 2019 in Roman numeral.

  1. Break down the number 2019.

    2019=2000+10+92019 = 2000 + 10 + 9
  2. Convert each part to its Roman numeral.

    2000=MM2000 = \text{MM} 10=X10 = \text{X} 9=IX9 = \text{IX}
  3. Combine the Roman numerals.

    2019=MMXIX2019 = \text{MMXIX}

    The Roman numeral for 2019 is MMXIX.

    The correct option is (b).

    b) MMXIX\boxed{\text{b) MMXIX}}

Part 36· 2 steps

Convert 121012_{10} to binary number.

  1. Perform repeated division by 2, noting the remainders.

    12÷2=6 remainder 012 \div 2 = 6 \text{ remainder } 0 6÷2=3 remainder 06 \div 2 = 3 \text{ remainder } 0 3÷2=1 remainder 13 \div 2 = 1 \text{ remainder } 1 1÷2=0 remainder 11 \div 2 = 0 \text{ remainder } 1
  2. Read the remainders from bottom to top.

    The binary representation of 121012_{10} is 110021100_2.

    The correct option is (a).

    a) 11002\boxed{\text{a) } 1100_2}
Was this helpful?

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.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp