Step-by-step explanation:
1. SAS
2. SSS
3. RHS
4. SAS
5. RHS
6. SAS
7. ASA
8. SAS
9. ASA
10. SSS
9. 12 edges
Work: <u>4</u> horizontal edges on top, <u>4</u> horizontal edges on bottom, <u>4</u> vertical edges for sides
10. Ten-thousands place
Work: The 8 is highlighted. The order of places is: <u>ten-thousands</u>, thousands, hundreds, tens, ones
11. 10 4/5
Work: 54 ÷ 5 ——> 50÷5 = <u>10</u> with 4 left over and put into a fraction of <u>4/5</u>
12. 3,000
Work: 2 is in the thousands place so you look to the place behind it and there is an 8. If the number behind is 5 through 9 then you round up. 8 is above 5, therefore, you round the 2 up to a <u>3</u>.
13. 0.45
Work: The pattern is +0.03 so 0.42+0.03=<u>0.45</u>
14. 54 cakes
Work: <u>6 eggs</u> per 1 cake • <u>9 cakes</u> = 6•9=54 eggs used
15. 378 desks in the school
Work: 6 rows • 7 desks per row = 42 desks in 1 classroom. 42 desks • 9 classrooms = 378 desks in the whole school
Answer:
Step-by-step explanation:
All side lengths of a square are equal. The three squares create a right triangle, and the hypotenuse of this triangle represents the side length of the square.
All right triangles must follow the Pythagorean Theorem 
where 
is the hypotenuse of the triangle.
Therefore, let 
be the side length of this largest square. Since the area of a square with side length 
is given by 
, 
will represent the area of the square:
Answer:
1. The monthly payment is $689.5
2. The total amount to be paid is
$224,580.
Step-by-step explanation:
Salsa and Corn Broom all reached an agreement upon the price of $197,000.
- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100
This leaves them with
$197,000 - $59,100
= $137,900 to pay.
The plan on financing this remaining amount at 6 percent for 20 years.
This means they will pay
0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.
1. The monthly payment is the yearly payment divided by 12.
Which is $8,274 ÷ 12 = $689.5
2. The total amount to be paid is
$165,480 + $59,100
= $224,580.
Divide (1/6 cup cheese) into (7/8 cup cheese):
7
--
8 7 6
----- = --- * --- = 42/8 = 5 2/8 = 5 1/4 = 5.25
1 8 1
--
6
She can prepare her recipe 5 times, with some material left over.
