Answer:
See explanation
Step-by-step explanation:
Polygon WXYZ has vertices W(-1.5, 1.5), X(6, 1.5), Y(6, -4.5), and Z(-1.5, -4.5).
Find the slopes of all sides:
- horizontal line
- slope undefined, so the line is vertical
- horizontal line
- slope undefined, so the line is vertical
Vertical and horizontal lines are perpendicular, so all angles W, X, Y and Z are right angles. Hence, quadrilateral WXYZ is a rectangle
Answer: Perimeter- 88m Area- 207sqm
Step-by-step explanation: To find the perimeter, you have to sort of split the shape into simple boxes. To find the line at the bottom, you have to add 18+11 because you can see that they match the line in the bottom. 18+11=29. You then have to find the P of the left. With the same method, you do 6+9, which equals 15. You add all of the sides together to get 88m. To find Area, you split the boxes into 2 smaller boxes. you then do 18x6 to get 108 for the top box. And 11x9 which equals 99. You add them together to get the area, 207! Hope that makes sense!!!
Answer:
The two numbers would be -51 and 51
Step-by-step explanation:
To find these, first set the equation for the first number as x. You can then set the second number as x + 102. Now, find their product.
x(x + 102) = x^2 + 102x
Now, to find the minimum, find the value of x in the vertex of this equation.
-b/2a = -102/2(1) = -102/2 = -51
So we know -51 is the first number. Now we find the second using the prewritten equation.
x + 102 = -51 + 102 = 51
Answer:
Answere is X= 8
Step-by-step explanation:
Use sine law
Sin(angle) = Opposite/ Hypotenuse
Sin (30) = 4 /X
X = 4 / sin (30)
X = 8
To put this into simplest form, you can see what common factors they have. 3 can go into 12, so we can divide 12 by 3.
12÷3= 4
3÷3=1
So 4:1 is the simplest form of 12:3.
Tell me if this helps!!
