1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiks02 [169]
3 years ago
10

Meg lives in Indianapolis and wants to visit her mom in Lima. She has been meaning to go to a chiropractor in Dayton, so she is

wondering whether it makes sense to stop there on the way. Dayton is 165165165 miles east of Indianapolis, Lima is due north of Dayton, Indianapolis is 173173173 miles away from Lima, and there are straight roads connecting all three cities.
How many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima?
Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
The distance between Indianapolis and Dayton, ID = 165 miles
The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
173^2 = 165^2 + DL^2
DL^2 = 173^2 – 165^2
DL^2 = 29929 – 27225
DL^2 = 2704
DL = 52 miles

Therefore, The distance between Dayton and Lima, DL = 52 miles

The question is asking how many more miles would Meg drive if she stopped in Dayton first than if she drove directly to Lima.

That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
That is, ID + DL – IL
= 165 miles + 52 miles – 173 miles
= 217 miles – 173 miles
= 44 miles

Therefore, Meg would drive 44 more miles if she stopped in Dayton first than if she drove directly to Lima.
You might be interested in
Select the correct answer from each drop-down menu. The value of V42 is number. Its value is between
zalisa [80]

Answer:

Blank 1 would be irrational

Blank 2 would be 5 and 7

Step-by-step explanation:

hope this is correct

5 0
2 years ago
On a horizontal number line, numbers are what
Vikentia [17]

Answer:

to the right of zero if postive if negative left

6 0
2 years ago
Read 2 more answers
I don’t get this T-chart
Sidana [21]

Yes. It is most likely a proportional relationship.

Divide $55 by 6(hr)

He gets $9.16 an hour, $18.32 for 2 hours, and so on...

Just multiply 9.16 by how many hours you want

8 0
3 years ago
Read 2 more answers
Lasso SelectInsert SpaceEditUnit 1 - Part 1 - Test ReviewWriting and Modeling with Equations1) A store sells ice cream with asso
HACTEHA [7]

1

(a) The total cost, C, is given by:

C(t)=3+0.5t

b) With 3 ounces of toppings, we have

t=3C(3)=3+0.5(3)=3+1.5=4.5

Hence Evan's ice cream would cost $4.50

6 0
1 year ago
Rsm question please explain<br> The question is in the picture
strojnjashka [21]

A triangle is a three-edged polygon with three vertices. ΔAKE and ΔCKP are congruent.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angle of a triangle is always equal to 180°.

In ΔABC, since AB≅BC, therefore, the triangle will be an isosceles triangle, and the measure of ∠A ≅ ∠C, using the base angle theorem.

Now In ΔAKE and ΔCKP,

∠A ≅ ∠C {Proved above}

∠AKE ≅ ∠CKP {Given}

AK ≅ KC {Given }

Since two angles and a side of the triangle are equal, therefore, we can write the two triangle are congruent using the Side-angle-side or Angle-Side-Angle congruence.

Hence, ΔAKE and ΔCKP are congruent.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Other questions:
  • HELP ASAP PLEASE!!!!!!!!
    10·2 answers
  • Nick has read the first 56 pages of a 152-page book. He plans to read 12 pages per day until he finishes. Which of these shows t
    8·1 answer
  • A house is currently worth 50% of its original value. The land, however, has appreciated in 5 years from $60,000 to its current
    12·1 answer
  • What is true about the solution to the system of inequalities shown?
    9·1 answer
  • Find the value of x in the equation. 6x+48=60
    8·2 answers
  • What is the answer to -3 + (-12)=
    9·2 answers
  • Which shows the Commutative Property of Addition?
    12·1 answer
  • Joseph's front porch is rectangular. The length is 8 feet more than the width. The
    13·1 answer
  • What is the distance between (5, -1) and (5, -4)? l' 2 8 --2 -2 I​
    8·2 answers
  • Solve the inequality 8+k≤-3
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!