Answer:
A
Step-by-step explanation:
Answer: last option.
Step-by-step explanation:
To apply the Distributive property, remember that:

Then, applying this, you get:

Combine like terms means that you need to add the like terms.
Therefore, you get:

You can observe that the expression obtained matches with the expression provided in the last option.
Let's find out how much she spent every month.
4000 (starting money) - 2800 (remaining money) = 1200 spent over 3 months
1200/3 = 400 per month was spent
So if she continues to spend 400 a month?
How many months are left? 12 (months of the year) - 3 (months she already spent) = 9
So 9 (remaining months) * 400 (amt per month) = 3600 she'll spend at the going rate over 9 months.
But she only has 2800 left.
2800 (remaining) - 3600 (estimated total of spending) = -800
So she will be 800$ in debt at the end of the year at the current rate.
Answer:
Step-by-step explanation:
<u>It is assumed the angles A and C are congruent:</u>
- 3x + 40 = x + 50
- 3x - x = 50 - 40
- 2x = 10
- x = 5
m∠A = 3*5 + 40 = 55°
Answer:
Step-by-step explanation:
Given: The triangle with coordinate A(4,6), B(2,-2) and C(-2,-4). D is the mid point of AB and E is the mid point of AC.
To prove: DE is parallel to BC.
Construction: Join DE.
Proof: If we prove the basic proportionality theorem that is
, then it proves that DE is parallel to BC.
Now, Mid Point D has coordinates=
and Mid Point E has coordinates=
Now, AD= 
DB=
AE=
EC=
Now, 
=
Hence, 
Thus, By basic proportionality theorem, DE is parallel to BC.