can be changed into this equation:
The 32 and 8 have a common factor of 8 and can be simplified to become this equation:
Now multiply across to get
which then simplifies to
which as a decimal is 41.333 (repeating 3s). Nearest whole number is 41.
Your answer is
41
Answer:
The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
Step-by-step explanation:
We are given the following from what she knows
m∠3=2⋅m∠1... 1
m∠2=2⋅m∠4 ... 2
m∠2+m∠3=360 ... 3
From what is given, we can substitute equation 1 and 2 into equation 3 as shown:
From 3:
m∠2+m∠3=360
Substituting 1 and 2 we will have:
2⋅m∠4 + 2⋅m∠1 = 360
Factor out 2 from the left hand side of the equation
2(m∠4+m∠1) = 360
Divide both sides by 2
2(m∠4+m∠1)/2 = 360/2
m∠4+m∠1 = 180°
Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°
Answer:
slope that is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(- 3, 5) and (x₂, y₂ ) = B(- 3, 3)
m = 
= 
Division by zero is undefined
Thus the slope of AB is undefined
Graph1-Yes
Graph2-yes
Graph 3- NO
Graph4-yes
Graph5-No
Graph6/No
Answer:
The measure of ∠ C is 180°-3∝
Step-by-step explanation:
We are given a ΔABC
∠A = ∝
∠B = 2∝
Angle sum property of triangle : The sum of all angles of triangle is 180° is called angle sum property of triangle
So, ∠A+∠B+∠C=180°
∝+2∝+∠C=180°
3∝+∠C=180°
∠C=180°-3∝
Hence the measure of ∠ C is 180°-3∝
