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
Umnica [9.8K]
3 years ago
10

Complete the following sentence:Trianlge ACB is similar to __ ____________

Mathematics
1 answer:
svetlana [45]3 years ago
7 0

Answer:

Triangle ACB is similar to Triangle DEF by SAS Similarity Theorem

see the explanation

Step-by-step explanation:

we know that

The <u>SAS Similarity Theorem</u>, states that: If an angle of one triangle is congruent to the corresponding angle of another triangle and the lengths of the sides including these angles are in proportion, then the triangles are similar.

In this problem

Angle B and Angle F are congruent

∠B≅∠F

The corresponding sides are

BC and FE

and

AB and DF

Verify if the ratios are proportional

\frac{BC}{FE}=\frac{AB}{DF}

substitute the given values

\frac{24}{16}=\frac{12}{8}

1.5=1.5 -----> is true

therefore

Triangles ACB and DEF are similar by SAS Similarity Theorem

You might be interested in
Hello! Can you please help me on these two problems? =)
poizon [28]

Yeah, I gotta read the questions better.

Perimeter not area.

diagonal length = √((28 - 12)² + (24 - 10)²) = 21.26

P = 12 + 10 + 28 + 24 + 21.26 = 95.26 units

sphere surface area = 4πR²

R = √(379.94 / 4(3.14) = 5.5 in

D = 2R = 11 inch

4 0
3 years ago
Upvote an will mark brainlest
Irina18 [472]

Answer:heyyy there...the answer is b that is -12x^3+12x^2-20

Step-by-step explanation:

<h3>f(x)= -12x^3+19x^2-5</h3><h3>g(x)= 7x^2+15</h3><h3>f(x)-g(x)=(-12x^3+19x^2-5)-( 7x^2+15)...{while opening the bracket the sign of the second polynomial changes accordingly}</h3><h3>it becomes -12x^3+19x^2-5-7x^2-15</h3><h3>=-12x^3+12x^2-20</h3><h3>HOPE IT HELPED UUUU</h3>
7 0
3 years ago
A _____ is owned by its depositors who are paid dividends after all operating costs and fees are paid
pentagon [3]
The correct answer should be tax
5 0
3 years ago
PLS HELP ME ASAP FOR 18!! (MUST SHOW WORK/ STEPS!!) + LOTS OF POINTS!! *brainliest*
Tasya [4]
I'd say -2.75
or 2 3/4
4 0
3 years ago
Read 2 more answers
In a certain month, Mason spent 1/6 of his salary in the first three days and $800 in the following ten days and after that he w
Nesterboy [21]
<h3>Answer:   $2400</h3>

========================================================

Explanation:

x = Mason's salary in dollars for that month

x/6 = one-sixth of his salary

x/6+800 = total amount spent (the x/6 dollars and $800 combined)

In total, he spent half his salary. This means he spent x/2 dollars for the month overall.

Set the two items equal to one another. Solve for x.

x/6 + 800 = x/2

6(x/6 + 800) = 6*(x/2) ... see note at the bottom of the page

x+4800 = 3x

4800 = 3x-x

4800 = 2x

2x = 4800

x = 4800/2

x = 2400

His monthly salary is $2400

1/6 of this is (1/6)*2400 = 2400/6 = 400 dollars. Add on the $800 he also spent to get a total of 400+800 = 1200 dollars spent, which is exactly one half of the $2400. The answer is confirmed.

-------

Note: I multiplied both sides by 6 to clear out the fractions. The value 6 is the LCD in this case.

7 0
2 years ago
Other questions:
  • Use binomial thereom to find the 8th term of (x-2)^14
    5·1 answer
  • I need help with this question!
    14·1 answer
  • Solve equation show all steps 3/8x=36
    9·2 answers
  • Twelve students were asked how long they spent doing homework last week. The scatter plot shows the results of the survey.
    8·1 answer
  • <img src="https://tex.z-dn.net/?f=5x%20%7B%7D%5E%7B2%7D%20%5Cdiv%20%5Csqrt%7B2%20%7D%20%3D%20164" id="TexFormula1" title="5x {}^
    15·1 answer
  • Does the arrow show a vertex,face,or edge?
    11·2 answers
  • Find the value of Tan 45°​
    11·1 answer
  • Doug purchased land for $8,000 in 1995. The value of the land depreciated by 4% each year after 1995. Write an exponential funct
    11·2 answers
  • Can someone help with this please?
    8·2 answers
  • Factoring a quadratic with leading coefficient greater than 1 <br><br> 3n^2+5n+2=0
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!