∠2 = ∠3 | Given
∠1 + ∠2 = 180 | Supplementary Angles Postule (If two angles are adjacent and ∠3 + ∠4 = 180| linear, they're supplementary)
∠1 + ∠2 = ∠3 + ∠4 | Transitive property
∠1 + ∠3 = ∠3 + ∠4 | Substitution property
∠1 = ∠4 | Subtraction Property
∠2 = ∠3 | Supplementary Congruent Theorem
Total investment = $10,500
Let x = amount of first investment, and y the amount of the second investment.
First investment:
Interest rate = 9 (1/5)% = 0.092
Earned interest = 0.092x
Second investment:
Interest rate = 9% = 0.09
Earned interest = 0.09y
Total interest after one year is $957.00, therefore
0.092x + 0.09y = 957
or
1.0222x + y = 10633.33 (1)
Also,
x + y = 10500 (2)
Subtract (2) from (1).
0.0222x = 133.33
x = 6000
y = 10500 - x = 4500
Answer:
The first investment is $6,000 at 9 (1/5)% rate;
The second investment is $4,500 at 9% rate.
Answer:
Figure 1: 226 
Figure 2: 111 
Step-by-step explanation:
For the first figure, you will split it into two rectangles. You would do 28 x 7 for the first rectangle and get 196. Then, you would do 6 x 5 for the second rectangle and get 30. You would then add these two numbers and get the area of 226 ft^{2}}.
For the second figure, you split it into one triangle and two rectangles. For the triangle, you would do 3 x 6 and then divide that by 1/2, since it is a triangle, and you get 9. For the first rectangle, you would do 10 x 7 and you would get 70. For the final rectangle, you would do 8 x 4 and get 32. You would then add all these numbers up and get the area of 111 mm^{2}.
The awnser is 25 the awnser is 25
A line is 180° so if you are given 43°on part of line l
180-43=137
So x=137°