Answer:
Step-by-step explanation:
The two angles are inside a right angle. The small box signifies a right angle/ 90° angle.
Therefore, the sum of the angle measures must equal 90. We can set up an equation.
Combine the like terms on the right side. The 2 constants: 56 and 16 can be added.
Since we are solving for x, we must isolate the variable. 72 and x are being added. The inverse of addition is subtraction, so subtract 72 from both sides.
x is equal to 18 and choice A is correct.
Answer:
The Possible dimension of the ring could be;
20 ft × 60 ft
25 ft × 48 ft
30 ft × 40 ft
60 ft × 20 ft
48 ft × 25 ft
40 ft × 30 ft
Step-by-step explanation:
Given:
Number of skaters = 30
Area for each skater = 40 sq ft
We need to find the dimension of rectangular ring the are going to build.
Now we know that they building the skating ring such that they all can use at same time.
Hence if the all use at same time then we will find the total area first.
Total area can be calculated by multiplying Number of skaters with area required for each skaters.
Framing the equation we get;
Total area =
Hence The total area of the rectangular ring would be 1200 sq. ft.
Now we know that Total area is equal to product of length and width.
1200 can be written as = 20 × 60, 25 × 48, 30 × 40,60 × 20,48 × 25,40 × 30
Hence the Possible dimension of the ring could be;
20 ft × 60 ft
25 ft × 48 ft
30 ft × 40 ft
60 ft × 20 ft
48 ft × 25 ft
40 ft × 30 ft
Answer:
<h2>10. C. (2, -1)</h2><h2>11. B. (-2, -4)</h2>Step-by-step explanation:
10.
The y values cancel out if you add the equations
5x = 10
x = 2
plug in x
2 - 2y = 4
-2y = 2
y=-1
Answer: C. (2, -1)
11.
In order to get terms to cancel out, multiply the top by 3 and bottom by 2
The y values cancel out if you add the equations
10x = -20
x = -2
plug in x
6(-2) - 2y = -4
-12 - 2y = -4
-2y = 8
y = -4
Answer: B. (-2, -4)
