Answer:
120
Step-by-step explanation:
The sum of the angles is 180 since it forms a straight line
2x+ x+90 = 180
Combine like terms
3x +90=180
Subtract 90 from each side
3x+90-90=180-90
3x= 90
Divide each side by 3
3x/3 = 90/3
x = 30
We want angle DBC = x+90
= 30+90
=120
Answer: 4/7
<u>Step-by-step explanation:</u>
the number of chairs = 7
the number of cushions = 11
Every chair has at least 1 cushion. There are 7 chairs so 7 cushions are used.
There is a total of 11 cushions and 7 cushions are already distributed to the chairs so there are 4 chairs with a 2nd cushion.
Chairs with 2 cushions ÷ Total chairs = 4/7
its 18 because if u add 18 to 34
Rhombus (like a squished rectangle)
This is because there are always two pairs of parallel sides, equivalent pairs, and two angles that are acute, and two that are obtuse.
I hope this helps!
Answer:
x=-1±4√31/3 ft is the height
Step-by-step explanation:
let the height be x ft.
then the length would be 3x+2
area = L*H= x(3x+2)
165=3x²+2x
0= 3x²+2x -165
dividing the whole equation by 3
0=x²+2x/3-55
(x)²+2(x)(1/3) +(1/3)² -55 -(1/9)=0
(x+1/3)²- 495-1/9=0
(x+1/3)²= 496/9
taking square root on both sides
(x+1/3)= ±4√31/3
x= ±4√31/3-1/3
x=-1±4√31/3 ft is the height
