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Volgvan
2 years ago
8

Given: DC is a diameter of circle k (O). DC ⊥ AB Prove: AC ≅ BC

Mathematics
1 answer:
aleksley [76]2 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Connect points A and O and B and O. Consider two right  triangles AOE and BOE. In this triangles,

  • AO=BO as circle's radii;
  • OE is common leg.

By HL theorem, these triangles are congruent, thus, AC=BC.

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The price of a train ticket consists of an initial fee plus a constant fee per stop.
murzikaleks [220]

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Price (P) = x + (y\times \textrm{Number of Stops})

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

x+3y =6.50 \ \ \ \ equation \ 1

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

x+7y =12.50 \ \ \ \ equation \ 2

Now Subtracting equation 1 from equation 2 we get;

(x+7y)-(x+3y) =12.50-6.50\\\\x+7y-x-3y=6\\\\4y =6\\\\y= \frac{6}{4}=\$1.5

Substituting the value of y in equation 1 we get;

x+3\times1.5=6.50\\\\x+4.5=6.50\\\\x =6.50-4.5 = \$2

Hence Initial Fee is $2.

8 0
2 years ago
Read 2 more answers
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Leviafan [203]
The answer is D) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
5 0
2 years ago
Read 2 more answers
Ellie has a delivery van which she is going to deliver boxes each box is a cuboid brain.ly 45cm by 40cm by 35cm the space in the
jek_recluse [69]

Answer:

It will take Ellie 64 minutes to put as many boxes as possible.

Step-by-step explanation:

Let us work with meters.

The dimensions of Ellie's boxes in meters are: 0.45m by 0.40m by 0.35 ( <em>to convert from centimeters to meters we just divide by 100, because 1m =100cm).</em> therefore the volume of each box is:

<em>V_{box}=0.45m*0.40m*0.35m=0.063m^3</em>

Now the dimensions of the empty van are 3.6m by 1.6m by 2.1 m, therefore its volume V_{van} is:

V_{van}=3.6m*1.6m*2.1m=12.096m^3.

So the amount of boxes that Ellie can put in the van is equal to the volume of the van V_{van} divided by the volume V_{box} of each box:

\frac{V_{van}}{V_{box}} =\frac{12.096}{0.063}=\boxed{192\:boxes }

So 192 boxes can be put into the van.

Now Ellie can put 3 boxes in the van in 1 minute, therefore the amount of time it will take her to put 192 boxes into the van will be:

\frac{192boxes}{3boxes/minute} =\boxed{64\:minutes}

So it takes Ellie 64 minutes to put as many boxes into the van as she can.

4 0
2 years ago
Of the bundles delivered daily to the store, 1/3
Triss [41]

Answer:

x=9

Step-by-step explanation:

Let total bundle=x

Morning edition of the daily sun=1/3x

=x/3

Afternoon edition of the daily sun=2

That leaves 2x/3 - 2, of which

x/3 - 1 are regional

1 is local

1 from another state

Sum everything

x = x/3 + 2 + x/3 - 1 + 1 + 1

x=2x/3 +3

x-2x/3=3

3x-2x/3=3

x/3=3

Cross product

x=3×3

x = 9

3 0
2 years ago
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget
Mnenie [13.5K]
         Mr. Valentino can`t go over his budget of $25. The amount of money times the amount of boxes needs to be less than or equal to $25:
         Answer: A ) $1.75 x  ≤ $25,
         where x is the amount of boxes he bought.
4 0
2 years ago
Read 2 more answers
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