Answer:
Question 1) 6x+5
Question 2) Blank #1: sum. Blank #2: 5. Blank #3: 4
See work in the attachment. If you're still confused, read the step-by-step explanation for a more in-depth explanation of what exactly I did for my work. Let me know if you have any questions :>
Step-by-step explanation:
For question 1, it's important to know that the perimeter is equal to the sum of all the sides. Since the shape is a rectangle, the sides opposite of each other are the same length. Thus, the left and right sides are both 3x - 3. 2(3x - 3) = 6x - 6. The unknown value, which I called a, is the same for both the top and the bottom. To find it, you must first subtract 6x - 6 from the perimeter of 18x + 4. This equals 12x + 10. Then, divide that answer by 2 to get the unknown side. You then get 6x + 5 as the answer for the unknown side.
To make sure it's correct, you can plug in a random number for x. In this case, I checked my work by plugging 2 in for x.
Perimeter = 18(2) + 4 = 36 + 4 = 40
Perimeter = 6(2) + 5 + 6(2) + 5 + 3(2) - 3 + 3(2) - 3 = 12 + 5 + 12 + 5 + 6 - 3 + 6 - 3 = 24 + 10 + 12 - 6 = 40
For question 2, the main idea you need to know is that A = lw. The area of the first rectangle is 6 * 5 = 30. The area of the second rectangle is 6 * 4 = 24. When you add them together, you get 54. The area of the rectangle that is formed when you combine rectangle 1 and rectangle 2 is 6 * 9 = 54. This shows that 6(4) + 6(5) = 6(9)
Answer: 43
Step-by-step explanation: 37 + 24 = 61
61 - 18 = 43
Answer:
There are no real solutions to this equation.
Hope This Helps!
Answer:
75
Step-by-step explanation:
For non-normal distributions, we use Chebyshev's Theorem.
Chebyshev Theorem
The Chebyshev Theorem states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
An in general terms, the percentage of measures within k standard deviations of the mean is given by 
.
In this question:
Within 2 standard deviations of the mean, so 75%.
Answer: Yes I agree, they must be identical to each other.
Step-by-step explanation: One of the conditions based on which triangles are similar is the SSA criteria, that is, Side-Side-Angle.
According to Tyler, two sides have been measured as 11 units and 8 units respectively in both triangles. If the corresponding angle is the same as indicated in the question, then the third side must be the same measurement. However, if the angles are of different sizes, then the third side would also be different for both triangles. For instance if the angle in triangle A is wider than that of triangle B, then the third side in triangle A would be longer than that of triangle B and in that case they would not be similar. Also if the angle in triangle A is narrower than that of triangle B, then the third side of triangle A would be shorter than that of triangle B and both triangles would not be similar as well.
Please refer to the picture attached. In the upper part of the picture, triangle A and triangle B are not similar though they both have sides measuring 11 and 8 units because angle x is not equal to angle y. However in the lower part, both triangles A and B are equal because both have angle x and sides 11 and 8 units, and that makes the third side have the same measurement.
