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:
32%
Step-by-step explanation:
Area of rectangle ABCD = 20 * 30 = 600 Sq cm
After increasing the length and width of the rectangle by 20% and 10% respectively.
New length = 30 + 20% of 30 = 30 + 6 = 36 cm
New width = 20 + 10% of 20 = 20 + 2 = 22 cm
Area of new rectangle = 36*22 = 792 Sq cm
Increase in area = 792 - 600 = 192 Sq cm
Percentage increase in area
= (192/600) *100
= 32%
Answer:
A. way to pay in advance for using a car for a given time period
Step-by-step explanation:
I think so..
Answer:
$966
Step-by-step explanation:
6/7 = 828/x
Write a proportion.
6x = 7(828) Use cross products.
6x = 5796 Multiply.
x = 966 Divide both sides by 6.
Paul's investment was $966.
Answer:
Step-by-step explanation:
248
