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
frosja888 [35]
3 years ago
7

If triangle ABC ~ triangle DEC, find AC.

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0
Answer:
12.5 units

Explanation:
We are given that:
ΔABC ~ ΔDEC
This means that the similarity proportion can be set up as follows:
AB/DE = BC/EC / AC/DC

We have:
CD = 5 units
BC = 6 + 4 = 10 units
EC = 4 units

This means that:
BC/EC = AC/DC
10/4 = AC / 5

Therefore,
AC = (5*10) / (4) = 12.5 units

Hope this helps :)

You might be interested in
Find sin 105 degrees by using 105 degrees = 60 degrees + 45 degrees
finlep [7]
This is the rule of sums of trig identities.  It says that sin(a + b) = sina*cosb+sinb*cosa.  Set up your right triangles.  In a 30-60-90 triangle, the side across from the 60 angle is the square root of 3, the side across from the 30 is 1, and the hypotenuse is 2.  In a 45-45-90 the sides across from the 45 degree angles are 1 and the hypotenuse is square root of 2.  With that being said, the sin of 60 is \frac{ \sqrt{3} }{2} and the cos of 60 is 1/2.  Both the sin and cos of 45 is \frac{1}{ \sqrt{2} }.  So your formula is filled in like this: ( \frac{ \sqrt{3} }{2} * \frac{1}{ \sqrt{2} })+( \frac{1}{2} * \frac{1}{ \sqrt{2} }).  When you do the multiplication on those sets of parenthesis, you get \frac{ \sqrt{3} }{2 \sqrt{2} } + \frac{1}{2 \sqrt{2} }.  When you add those your solution is \frac{1+ \sqrt{3} }{2 \sqrt{2} }.  Depending upon your instructor you may have to rationalize that denominator to get that radical out from under there, but if not, that's pretty much it!
8 0
3 years ago
3m + p divided by 3; when m= 1; and p=6
Furkat [3]

Answer:

5

Step-by-step explanation:

just fill in the values. 1 for m and 6 for p into the equation.

3(1) + 6/3 which is 3 + 2 which = 5. so the answer is 5.

5 0
3 years ago
Read 2 more answers
How do you do this ?
MrRa [10]

Answer:

fourth option

Step-by-step explanation:

A translation of 6 units right ( positive x- direction ) means add 6 to the original x- coordinate.

A translation of 2 units down ( negative y- direction ) means subtract 2 from the original y- coordinate.

Thus the translation rule is

(x, y ) → (x + 6, y - 2 )

4 0
3 years ago
Job A pays$9.95 per hour, 40 hours per week. job B pays $17500 per y. which pays better?
Scrat [10]
Job A is the correct answer
5 0
3 years ago
Determine what values must be excluded from the domain of (x^2 + 1)/x
Makovka662 [10]
You can not call it domain cause it is only an expression not equation
you have to exclude 0  from domain

7 0
3 years ago
Other questions:
  • An employee will spend 2/3 of his time each day answering phone calls each day he will work 6.5 hours how many hours will the em
    14·1 answer
  • Find the total surface area of the square pyramid. the base (bottom) has an area of 36 square centimeters. one triangular face (
    5·2 answers
  • Find the sum using front end estimation.873 + 254 + 409
    9·2 answers
  • Audrey charges a flat fee of $4 for each delivery plus a certain amount,in dollars per mile, for each mile she drives. For a dis
    7·1 answer
  • Staci has seven more cats than Taylor. Write an expression that illustrates how many cats Staci has. Use X to represent the numb
    13·1 answer
  • Hdhdhdbsnsjidhdbendx
    5·2 answers
  • Describe and correct the error in graphing the inequality <br> Y&lt; -X +1<br> Will give brainliest
    5·1 answer
  • A particular virus becomes inactive at any temperature below 10 F what would be the inequality
    13·1 answer
  • What is the formula for finding the area of a triangle, parallelogram and trapezoid?
    15·1 answer
  • Find the equation of the line given the following information: (write is as y=mx+b) (m is the slop and b is the y-intersect)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!