Angle 3 and 4 are supplementary angles and create a straight line.
This means when added together they need to equal 180 degrees.
Angle 3 = 180 - angle 4
Angle 3 = 180-40 = 140 degrees.
Answer:
Step-by-step explanation:equation is a² a = side length of square so the area would be 196
Answer:
Variance = 25
Step-by-step explanation:
<em>Standard deviation is the under root of variance.</em>
<em>Variance is the square of standard deviation.</em>
<u>Data:</u>
Mean = 70
Variance = ?
Standard deviation = √variance = 5
Variance = 5²
Variance = 25.
Therefore, the variance is 25.
Answer:
a, c
Step-by-step explanation:
3.2(4p + 8.5)
= 12.8p + 27.20 (C)
3.2(4p) + 3.2(8.5)
= 12.8p + 27.2 (A)
Answer:
a) Yes
b) Not a right triangle
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
The sum of the lengths of any 2 sides of a triangle is greater than the length of the 3rd side.
7 + 8 = 15 > 9
7 + 9 = 16 > 8
8 + 9 = 17 > 7
Therefore, a triangle with side lengths 7, 8 and 9 <u>can</u> be made.
<h3><u>Part (b)</u></h3>
To determine if the triangle is a right triangle, use Pythagoras' Theorem:
a² + b² = c² (where a and b are the legs, and c is the hypotenuse)
The hypotenuse is the longest side, therefore:
Substituting these values into the formula:
⇒ a² + b² = c²
⇒ 7² + 8² ≠ 9²
⇒ 113 ≠ 81
As 7² + 8² ≠ 9² then the triangle is <u>not</u> a right triangle.
