< 2 + < 3 + 90 = 180
< 2 = x + 8
< 3 = 2x + 7
x + 8 + 2x + 7 + 90 = 180
3x + 105 = 180
3x = 180 - 105
3x = 75
x = 75/3
x = 25
< 2 = x + 8 = 25 + 8 = 33 <==== answer is D
< 3 = 2x + 7 = 2(25) + 7 = 50 + 7 = 57
Answer:
1) x = 40° & y = 50°
2) x = 100° & y = 80°
Step-by-step explanation:
1)
ABCD is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are touching on the circle). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠ADC + ∠ABC = 180°
⇒ 130° + y = 180°
⇒ y = 180 - 130 = 50°
In ΔABC ,
∠ACB = 90° (∵ AB is the diameter of the circle and a diameter subtends an angle of 90° on any point on circle.)
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠CAB = 180°
⇒ y + 90° + x = 180°
⇒ x + 50° + 90° = 180°
⇒ x + 140° = 180°
⇒ x = 180 - 140 = 40°
2)
ΔABC is an isosceles triangle (∵AB = AC). As it is an isosceles triangle , it's base angles will be equal. So , ∠ABC = ∠ACB = 50°
Using angle sum property of triangle ,
∠ABC + ∠ACB + ∠BAC = 180°
⇒ 50° + 50° + y = 180°
⇒ y + 100° = 180°
⇒ y = 180 - 100 = 80°
ABEC is a cyclic quadrilateral (∵ all the vertices of the quadrilateral are on the circle.). As it is a cyclic quadrilateral , sum of it's opposite angles will be 180°.
⇒ ∠BAC + ∠BEC = 180°
⇒ y + x = 180°
⇒ x + 80° = 180°
⇒ x = 180 - 80 = 100°
Greetings! let’s solve this shall we?
So,
7x + 14 > -3x - 6
14 > -3x - 6 + 7x
14 > 4x - 6
20 > 4x
5 > x
The volume of the room is: 1840 ft^3
Step-by-step explanation:
The volume is the capacity of a given figure.
Given
Width = w = 23 feet
Depth = d = 10 feet
Height = h = 8 feet
The formula for volume is:
The volume of the room is: 1840 ft^3
Keywords: Volume, Box
Learn more about volume at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
+ or x you plus the indices
- or divide you minus the indices
so 3^8 x 3^4 would be 3^12
and 3^2 x 3^8 would be 3 ^10
