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
Vika [28.1K]
4 years ago
9

(03.05 MC)

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
7 0

Answer:

Option B) ∠DCE is congruent to ∠BCA by the Vertical Angles Theorem and 15 over 5 equals 12 over 4 shows the corresponding sides are proportional; therefore, ΔABC ~ ΔEDC by the SAS Similarity Postulate

Step-by-step explanation:

we know that

The SAS Similarity Theorem states that if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

we have that

m∠DCE≅m∠BCA -----> by vertical angles

\frac{DC}{BC}=\frac{EC}{AC}

substitute the values

\frac{15}{5}=\frac{12}{4}

3=3 ----> is true

so

Two sides in triangle ABC are are proportional to two sides in triangle EDC and the included angle in both triangles are congruent

therefore

ΔABC and ΔEDC are similar by  SAS Similarity Postulate

You might be interested in
Ms. Burns needs 6 cups of cream to make ice cream. Cream is sold in pints. How many pints of cream does she need to make the ice
Otrada [13]
So, 1 cup equals 0.5 pints. You should multiply 6 by 0.5 it is 3. The answer is 0.5 .
5 0
4 years ago
Read 2 more answers
List all of the elements of set A if A = {x|x is an integer and -6 ≤ x <0}
morpeh [17]

This is an example of a set defined by describing the property of its elements: every element in the set must be an integer, greater than or equal to -6, and less than zero (ecluded).

So, all the numbers that satisfy this requests are -6,-5,-4,-3,-2,-1, and the answer is thus b.

4 0
3 years ago
Can soemone hlep me pls i give brainlist and points
ddd [48]

Answer:

532+50pi

or exact: 689.08

Step-by-step explanation:

3 0
3 years ago
Emma goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Emma pa
sergiy2304 [10]

Answer:

The equation that can be used to determine the number of rounds that Emma golfs is:

x=(c-7.50)/6.25

Step-by-step explanation:

From the information given, the total amount Emma pays to go miniature golfing is equal to the price of the admission ticket plus the result of multiplying the price per round of golf for the number of rounds and according to this, the equation would be:

c=7.50+6.25x, where:

c is the total cost for Emma to go miniature golfing

x is the number of rounds

Now, you can solve for x to determine the equation that can be used to find the number of rounds that Emma golfs:

x=(c-7.50)/6.25

You can replace c with 26.25:

x=(26.25-7.50)/6.25

x=18.75/6.25

x=3

5 0
3 years ago
Free
Aleksandr [31]

Answer:

tysm. Have a wonderful day...

6 0
3 years ago
Other questions:
  • A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and
    10·1 answer
  • What is the slope of the line that passes through the points (-2 5) and (1 4)
    7·2 answers
  • Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tr
    12·2 answers
  • The great pyramid of Gaza is square pyramid. Approximately the volume of the pyramid. A. 10,660 cubic m B. 1,923,035 cubic m C.
    5·1 answer
  • Simplify -8z^8+(-14z^8)
    10·1 answer
  • 4. A one-year membership in a video rental club costs $10. Members pay $1.25 per video rental. You spend $45 in one year. How ma
    6·1 answer
  • Each day at the bakery, Jack bakes cakes and helps out at the counter. Estimate the number of hours Jack works to bake 3 cakes.
    10·2 answers
  • Given coordinates A(3,3),B(2,5),C(4,3) complete transformation. Complete double reflection over the lines y=2 followed by y=0.​
    9·1 answer
  • 12.5% of it is 6 hrs​
    8·1 answer
  • Can someone please help me with these problems and show work, if the answer isn’t with work I will remove your comment and you w
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!