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
nexus9112 [7]
3 years ago
11

Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find

the perimeter of ∆ACD.​
Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

  • 70 units

Step-by-step explanation:

<u>Given triangle ACD</u>

  • AB = BC
  • CD = 2x + 6
  • AB = x + 5
  • BC = 2x - 3
  • P = ?

<u>Perimeter is sum of the side lengths:</u>

  • P = AD + CD + AC

AD = CD because D is vertex and the triangle is isosceles

AC = AB + BC because B is midpoint of AC

<u>Then P is:</u>

  • P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14

<u>Find the value of x from the AB = BC:</u>

  • x + 5 = 2x - 3
  • 2x - x = 5 + 3
  • x = 8

<u>Then find the value of P:</u>

  • P = 7*8 + 14 = 56 + 14 = 70 units

You might be interested in
Each student in Ms. Garai's class is either a junior or a senior. Ms. Garai has 30 students in her class, 24 of whom are juniors
Novosadov [1.4K]
  1. The seniors in the class is 6.
  2. The juniors that went on the field trip is 6 students.
  3. There is not enough information to determine the seniors that went on the field trip.
<h3>How many seniors are in the class?</h3>

Seniors in the class = total number of students - total number of juniors

30 - 24 = 6

Juniors that went on the field trip = 2/3 x 24 = 16 students

To learn more about subtraction, please check: brainly.com/question/854115

#SPJ1

3 0
2 years ago
Root 225 rational or irrational? plzz help urgent.
telo118 [61]
Is the Square Root of 225 Rational or Irrational? 225 can be expressed as the ratio of two integers. As 225 can be expressed as 225 = 225/1. Thus 225 is rational.
6 0
3 years ago
Read 2 more answers
how much of a $2,000 medical bill would you pay if your policy contains a $400 deductible and a 10% coinsurance clause
puteri [66]
2000 - 400= 1600 * .10= 160+400= $560 is probably right, but I pretty much guessed on how to get that.
4 0
3 years ago
Construct a linear equation for the table. What is the slope of the line
Klio2033 [76]

We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)

Let's verify it's a line by calculating the slopes between successive points.

Slope is change in y over change in x.

(2 - 4)/(-1 - -3) = -2/2 = -1

(-3 - 2)/(4 - -1) = -5/5 = -1

(-5 - -3)/(6 - 4) = -2/2 =-1

Yup.  We have a line of slope -1 through point (-1, 2)

y - 2 = -1(x - -1)

y  = -x - 1 + 2

y = -x + 1

That's the linear equation for the table.  

Answer:  Linear equation: y = -x + 1          slope = -1

3 0
3 years ago
An ice cream shop sold 48 vanilla milkshakes in a day, which was 40% of the total number of milkshakes sold that day. what was t
Sati [7]

Answer:

d 120 because 40% is 120

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which set of numbers does -2.9 belong to?
    5·1 answer
  • I = prt Time = 3 years Interest Rate = 5% Principal = $7,430 Use the information to answer the question. How much interest is pa
    12·2 answers
  • -5/6 and 8/3 on a number line
    6·1 answer
  • You have a group of friends that split some money from a party. You knew going in that you would get 30% of the total. After the
    10·1 answer
  • An architect is designing a rectangular greenhouse. Along one wall is a 7- ft storage area and 5 sections for different kinds of
    11·1 answer
  • 72 is what percent of 45?
    5·2 answers
  • Factorise 4x^2+28x^3
    15·1 answer
  • The base of a skateboard ramp has an area of 2.3
    11·1 answer
  • You receive $1,000 to put in the bank. You place it in an account that pays 6% annual interest compounded continuously. How much
    9·2 answers
  • Hello pls help meeee<br> )
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!