Answer:
This figure is a quadrilateral, and therefore the sum of the interior angles must be 360°. Adding them up, we get 40° + 128° + x + 82° = 360°, or
168° + 82° + x = 360°, or 250° + x = 360. Subtracting 250° from both sides results in 110°, which is the measure of x.
Step-by-step explanation:
Answer:
I have solved it u can have a look.
General Idea:
(i) Assign variable for the unknown that we need to find
(ii) Sketch a diagram to help us visualize the problem
(iii) Write the mathematical equation representing the description given.
(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE
Applying the concept:
Given: x represents the length of the pen and y represents the area of the doghouse
<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

------
<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

------
<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

------
<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Conclusion:
The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

Answer:
Horizontal
Step-by-step explanation:
The x-axis is horizontal while the y-axis is vertical.
Answer:
100 square inches
Step-by-step explanation:
Dimension of each of the ten pictures= 4 inches by 6 inches
Area of one of the pictures=4*6=24 Square Inch.
Total Area of the 10 pictures=24*10=240 Square Inches.
Dimension of the Poster Board=20 inches by 17 inches.
Area of the Poster Board=20*17=340 Square Inches.
Area not covered by the pictures=340-240=100 Square Inches
Therefore, 100 square inches of the green background will show after the pictures are mounted.