The blank spaces in the task content can be filled with; Substitution property, 90° and subtraction property.
<h3>What are the missing statements in the proof?</h3>
Since it follows from the vertical angles theorem that angle 1 = angle 4 as they are congruent.
Additionally, angles 1 and 2 are said to be complementary and hence, the sum of their measures is equal to 90°.
Finally, by virtue of the subtraction property of equality, the measure of angle 2 is; 90° - 40° = 50°.
Read more on complementary angles;
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So each of these statements are talking about the square footage of land per person. Let's go and find it!
First off, let's find the number in each building of the original complex:
280 people / 4 buildings
Each building has an equal number of residents. So just divide:
280/4 = 70.
So 70 residents per building
Now consider the fact that once a new building is built, another 70 people will move in.
280 + 70= 350
350 people total.
Then lets look at the plot of land
Originally, there are 200,000 square feet of land for the 4 buildings. Then after the expansion, the plot of land will be:
200,000 + 200*200
= 200,400
Go back to the question. What's the effect of the expansion in terms of square feet of land per person?
Divide!
200,400 / 350
Approximately = 572.57 square feet
Then since it's being compared to the amount each resident had before the expansion, do the same thing with the corresponding numbers:
200,000 / 280
Approximately = 714.29
So how much will each person's land decrease?
714.29 - 572.57 approximately = 141.72 square feet.
The answer is the first choice!
Hope this helps
108 = .36x
divide both sides by .36
300 = x
The perimeter is
P = 2w + 2l
the rectangular table is 5 inches longer than the width
P = 2w + 2(w + 5)
now we can use that to solve
P = 2w + 2w + 10
P = 4w + 10
P > 92
10 + 4w > 92
subtract 10 from both sides
4w > 82
Divide both sides by 4
w > 20.5
The width can be greater than or equal to 20.50 inches.
Hope this helps :)
Answer:
The two numbers are 9 and 3.
Step-by-step explanation:
x+y=12
x-y=6
---------
2x=18
x=18/2
x=9
9-y=6
y=9-6
y=3
