Answer:
hese angles are supplementary, and x=19 degrees
These two angles are a linear pair, meaning that they are supplementary.
This means that their angles measures must add up to 180 degrees.
65+6x+1=180
6x=114
x=19
Hope this helps!
Step-by-step explanation:
see attached picture.
Round off answer as needed.
B.The two figures are similar
A. The perimeter of quadrilaterals are same when x=2.
B. The area of quadrilaterals are same when x=4.6
<u>Step-by-step explanation</u>:
A. <u>Perimeter of the quadrilaterals must be equal.</u>
- Perimeter of square is 4a.
- where, a = 6
- Perimeter of rectangle is 2(l+b).
- where, l = 2 and b = (3x+4)
Perimeter of square = Perimeter of rectangle
4(6) = 2(2+3x+4)
⇒ 24 = 2(3x+6)
⇒ 24 = 6x + 12
⇒ 6x = 12
⇒ x = 12/6
x = 2
For x=2, the perimeters of both the quadrilaterals are same.
B. <u>Area of the quadrilaterals must be equal.</u>
- Area of square is a².
- where, a = 6.
- Area of rectangle is l
b. - where, l = 2 and b = (3x+4)
Area of square = Area of rectangle
(6)² = 2(3x+4)
36 = 6x+8
6x = 28
x = 28/6
x = 4.6
For x=4.6, the area of both the quadrilaterals are same.
Answer:
full glasses of water the bowl holds.
Step-by-step explanation:
Full glass of water holds
cups of water.
Full bowl of water holds
cups of water.
To find:
How many full glasses of water does the bowl hold ?
Solution:
Let us convert the unit of cups of water to glass of water.
Given that
or
cups of water is equivalent to 1 full glass of water
Now, let us use unitary method to find the answer.
cups of water is equivalent to 1 full glass of water
1 cups of water is equivalent to
full glass of water
or
cups of water is equivalent to
full glass of water
full glass of water is the quantity the bowl holds.