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3 years ago

5

B is the midpoint of AC. If AB =x +5 and BC = 2x -11, find the measure of AB

1 answer:

bogdanovich [222]3 years ago

8 0

If B is the midpoint of AC, that means the the line segments connecting the endpoints to the midpoints are the same length, or: AB = BC. With that in mind, we can set their lengths equal to each other:

x + 5 = 2x - 11

From there, simply solve for x and input that result back into the expression for AB (x + 5) and you’ll have your result.

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on a certain hot Summer's Day 613 people use the public swimming pool the daily prices are $1.75 for children $2.25 for adults t

Elodia [21]

389 children and 224 adults were at the pool that day.

Step-by-step explanation:

Cost of one child ticket = $1.75

Cost of one adult ticket = $2.25

Total people = 613

Total receipts worth = $1184.75

Let,

Number of children = x

Number of adults = y

According to given statement;

x+y=613 Eqn 1

1.75x+2.25y=1184.75 Eqn 2

Multiplying Eqn 1 by 1.75

$1.75(x+y=613)\\1.75x+1.75y=1072.75\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(1.75x+2.25y)-(1.75x+1.75y)=1184.75-1072.75\\1.75x+2.25y-1.75x-1.75y=112.00\\0.50y=112.00$

Dividing both sides by 0.50

$\frac{0.50y}{0.50}=\frac{112.00}{0.50}\\y=224$

Putting y=224 in Eqn 1

$x+224=613\\x=613-224\\x=389\\$

389 children and 224 adults were at the pool that day.

Keywords: linear equation, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

The price of a gallon of unleaded gas has dropped to

svet-max [94.6K]

2.86-2.81=0.05
(0.05/3.86)x100=1.75%

6 0

3 years ago

Hasil dari 37²-√576:√144 adalah

valina [46]

Answer:

<em>Answer is</em><em> </em><em>1345</em><em>:</em><em>12</em>

Step-by-step explanation:

${37 }^{2} - \sqrt{576} = {37}^{2} - 24 \\ = 1345 \\ {37}^{2} - \sqrt{576} : \sqrt{144} = 1345:12$

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0

3 years ago

According to a weather report, there is a 11% chance it will rain tomorrow. What is the probability that it will not rain tomorr

Tema [17]

Answer:

89%

Step-by-step explanation:

there are only 2 possibilities rain and no rain

so 100%-11%

3 0

1 year ago

Read 2 more answers

The sum of 43.9 and a number is 49.65, as shown below. What number should go in the box to complete the addition problem? 43.9 p

Ber [7]

43.9 + n = 49.65
43.9-43.9 + n = 49.65 -43.9
n = 5.75

6 0

2 years ago