<h3>The alternate angles are equal, the co-interior angles are supplementary, and the corresponding angles are congruent.</h3>
Answer:
The dimension of the rug would be 17 ft × 9 ft.
Step-by-step explanation:
Given
length of the room = 27 ft.
width of the room = 19 ft.
suppose, she leaves a uniform strip of x ft. around the rug.
So,
The length of rug = (27-2x)ft.
Width of rug= (19-2x)ft.
∴ Area of the rug= length×width
According to the question,
( subtract 153 both sides)
( Middle term splitting)
or ( zero product property)
or
if x=18, dimension would be negative ( Not possible)
Thus, x= 5
Hence,
length of rug= 27-10=17 ft.
width of rug= 19-10=9 ft.
Answer:
See explanation, and comment for more details!
Step-by-step explanation:
10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.
11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.
12.
a. x=3, y=4, z=5
b.
c.
Hope this helps!
Answer:
1) A line can be defined by two points that are connected by the given line.
We can see that the line r connects the points A and B, then we can call this line as:
AB (the notation usually uses a double arrow in top of the letters)
2) In the image we can see that lines r and s intersect at the point B, then another name for that intersection is: B.
3) 3 colinear points are 3 points that are connected by a single line, an example of this can be the points A, B and C.
4) A plane can be defined by a line and a point outside the line.
For example, we can choose the line AB and the point D, that does not belong to the line.
Then we can call the plane as ABD.
Answer:
4) five less than some number
Step-by-step explanation:
In subtraction the number that is first matters and subtraction phrase is less than, so you can conclude that it's 4) five less than some number.