The length of AB is 18 units
<u>Explanation:</u>
AOC forms a right angle triangle
where,
OC is the height
AC is the base
AO is the hypotenuse
Using pythagoras theorm:
(AO)² = (OC)² + (AC)²
(AO)² = (7)² + (24)²
AO = 25 units
Length AB = ?
According to the figure:
AO = AB + BO
25 = AB + 7 (OB is the radius of the circle)
AB = 18units
Therefore, the length of AB is 18 units
Answer:
Step-by-step explanation:
- Initial number of marbles = 120
- Lost at every game = 5
- Stolen by a squirrel = 3
- Left = less than 10
<u>Let the number of games be x</u>
- then lost marbles = 5x
- stolen marbles = 3x
<u>Inequality:</u>
- 120 - 5x - 3x < 10
- 120 - 8x < 10
- 110 < 8x
- x > 110/8
- x > 13 rounded down
<u>Since there should be more than 0 left, another inequality for it:</u>
- 120 - 8x > 0
- 120 > 8x
- x < 15
So 13 < x < 15, which leaves us with 14
Answer:
m<6 =110°
Step-by-step explanation:
We are given that
line g and h are parallel lines
And whenever two lines are parallel
then it's corresponding angles must be equal
We have corresponding angles as
<1 , <5 ; <2 , <6
so,
<2=<6
now, we are given
<2=110°
so, we get
<2=<6=110°
so, answer is
m<6 =110°
Answer:
(0,-8)
Step-by-step explanation:
90° rotation (x,y) > (-y,x)
180° rotation (x,y) > (-x,-y)
270° rotation (x,y) > (y,-x)