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:
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Step-by-step explanation:
This question can be solved by a rule of three.
A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.
1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.
How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?
2 and 1/2 batches is 2 + 0.5 = 2.5 batches.
1.75 cups for one batch. How many cups for 2.5 batches? So
1 batch - 1.5 cups
2.5 batches - x cups
c = 2.5*1.5 = 3.75
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Answer:
180270
Step-by-step explanation:
Do Pemdas to find order of operations:
(264*675)+ 1239-56+887
So it is:
(178200)+2070
This equals: 180,270
Answer:
g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
2 + 6g = 11 - 3g
Add 3g to both sides.
2 + 9g = 11
Subtract 2 from both sides
9g = 9
g = 1
If the turn out of an event is to take place or not to take place only then, the sum of the probability of it taking place and not taking place is 1. If we represent the probability of it taking place by x then, the probability of it not taking place is equal to 1 - x.