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Ugo [173]
3 years ago
7

What is the value of the expression? Show your work to receive full credit.

Mathematics
1 answer:
OleMash [197]3 years ago
7 0

Answer:

2.1

Step-by-step explanation:

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AC is tangent to circle o at point C.
timofeeve [1]

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

5 0
3 years ago
a group of friends every time they play a game of marbles, they lose 5 marbles as it’s a big playground and they can’t be bother
kari74 [83]

Answer:

  • 14 games

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

6 0
3 years ago
Lines g and h are parallel and m 2 = 110°. what is m &lt;6 A 6° B 70° C 110° D 180°
Ymorist [56]

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°

6 0
4 years ago
Rotate this hexagon 180°<br> (0,8)
Orlov [11]

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)

5 0
3 years ago
Please hurry and show steps :0
ch4aika [34]

1. nth term=3n-1

  20th term=3(20)-1=60-1=59

2. nth term=-2n-4

   20th term=-2(20)-4=-40-4=-44

3. nth term=\frac{2}{3}n-\frac{2}{3}

   20th term=\frac{2}{3}(20)-\frac{2}{3}=\frac{40}{3}-\frac{2}{3}=\frac{38}{3}

4. nth term=-\frac{1}{3}n+\frac{11}{15}

   20th term=-\frac{1}{3}(20)+\frac{11}{15}=-\frac{20}{3}+\frac{11}{15}=-\frac{89}{15}

4 0
4 years ago
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