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
Eva8 [605]
3 years ago
15

In the figure points A B C D and E are collinear. If AE = 38 and BD = 15

Mathematics
1 answer:
fredd [130]3 years ago
6 0

Answer:

D. 30.5

Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

45/2 = BE

22.5 = BE

BE = 22.5

Find AB:

AB + BE = AE (segment addition postulate)

AB + 22.5 = 38 (Substitution)

AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

Find length of segment AD:

AB + BD = AD (segment addition postulate)

15.5 + 15 = AD (Substitution)

30.5 = AD

AD = 30.5

You might be interested in
Factor completely: 3x2 + 12x + 7
zepelin [54]

Answer:

Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

Look at answer 2:  7x + 3x = 10x, which does not match the middle term 12x in the original polynomial.  Eliminate answer 2.

Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

      -12 ± √60        -12 + 2√15                     -12 - 2√15

x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

3 0
3 years ago
What is the ratio of seats to wheels in a group of tricycles?
Morgarella [4.7K]
Each tricycle has 3 wheels and one seat, so the ratio of seats to wheels is 1:3
4 0
3 years ago
Pretty ez ngl but need help extra points
baherus [9]

Answer:

Concept: Algebraic Manipulation

  1. 90* 1/6 = 15
  2. Hence its 15 dollars
  3. Rate brainlist
5 0
3 years ago
Read 2 more answers
Can someone help me??
Allushta [10]

Answer:

67.5 degrees

Step-by-step explanation:

The piece that isn't marked with xs is 90 degrees marked by the square symbol representing a right angle.

Full circle = 360 degrees

360 degrees - 90 degrees = 270 degrees

Now, if we add all the like terms we have 4 x's in total. This is becauswe 3x + another x = 4x.

So, we need to divide 270 by 4. We get 67.5 degrees.

Hope this helps!

treviglaslibrary

4 0
2 years ago
Read 2 more answers
a baby weighs 8 pounds 10 ounces.if her weight doubles in 6 months, how much will she weigh in 6 months?
natta225 [31]
I think that the baby would weight 18 pounds if her weight doubles in six months 
8 0
2 years ago
Other questions:
  • Fred spent half his allowance on going to the movies he then washed the family car for six dollars he now has eleven dollars how
    12·1 answer
  • Which expression is equivalent to 2(x + 5) + 5x?<br>a)2x + 10<br>b)7x + 5<br>c)7x + 10<br>D)10x + 5​
    9·2 answers
  • Bamboo is one of the fastest-growing plants. A typical growth rate for bamboo in temperate climates is 3-10 centimeters per day
    6·2 answers
  • One vertex of an equilateral triangle is at the origin and the other vertex is at (3,4)
    12·2 answers
  • Mr. Berger is building a sandbox for his children. The sandbox is in the shape of a right rectangular prism. The area of the bas
    13·1 answer
  • What is the value of f(3)?
    11·1 answer
  • What is the slope of the following line: 2y-4x=-16? For this one I got y= -8+2x. Would that mean the slope is 8?
    10·1 answer
  • A culture of bacteria has an initial population of 420 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\
    13·1 answer
  • Write 3.7 as a mixed number explain
    9·2 answers
  • A baseball team played 32 games and lost 8. Katy was the catcher in of the winning games and of the losing games. In how many ga
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!