Explanation

Explanation

• The sum of the three interior angles of a triangle is 180°.
• This rule applies to all types of triangles.
• If two angles are known, the third angle = 180° − (sum of the other two angles).
• It is a basic rule of geometry.
• This property is known as the Angle Sum Property.

Last updated 17 july 2026 by NA

Explanation

Given:

Increment in number = 20% of the number

Decrement in number = 20% of the new number

Concept used:

Net increase or decrease percent = {(Original number or Final number) - (Final number or original number) ÷ Original number} × 100

Calculation:

Let the original number be 100

When the number is increased by 20%

New Number = 100 + 20% of 100

⇒ 100 + 20

⇒ 120

Now, the number is decreased by 20%

Final number = New number – 20% of new number

⇒ 120 – 20% of 120

⇒ 120 – 24

⇒ 96

∴ Net Decrease in percentage = { (100 – 96) / 100} × 100

⇒ {4/100} × 100

⇒ 4%

∴ The net decrease percentage is 4%.

Last verified on 11-07-2026

Explanation

To find the average, we need to first convert each fraction to a decimal:

 5/6 = 0.83

 4/3 = 1.33

 3/4 = 0.75

Then, add the decimals and divide by the number of values:

 0.83 + 1.33 + 0.75 = 2.91

 2.91 ÷ 3 = 0.97

Now, convert the average back to a fraction:

 0.97 ≈ 35/36

Last verified on 01-07-2026

Explanation

• Al-Khwarizmi is known as the Father of Algebra for writing the first systematic book on algebra.
• He wrote Al-Kitab al-Mukhtasar fi Hisab al-Jabr wal-Muqabala in the 9th century.
• The word “Algebra” comes from “Al-Jabr” in his book title.

Last verified on 24-06-2026

Explanation

9 KG = 9000 grams

Packages = 9000 / 450

= 20

Last verified on 30-03-2026

Explanation

Explanation

Explanation

• In statistics and research, hypotheses are used to test ideas.
• The null hypothesis (H₀) states that there is no effect or difference.
• The hypothesis that states there is an effect or difference is called the alternate hypothesis (H₁).

Last verified on 23-01-2026

Explanation

a*b = (a+b) + ab

3_4 = (3+4) + 3×4 = 7 + 12 = 19

2_3 = (2+3) + 2×3 = 5 + 6 = 11

(3_4) - (2_3) = 19 - 11 = 8