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
AURORKA [14]
2 years ago
11

1. For the shown triangle, AD is 42, MD is 27, AN is 20 and NG is 3x+3.

Mathematics
2 answers:
GuDViN [60]2 years ago
8 0

Answer:

  • 11

Step-by-step explanation:

<u>According to triangle similarity, corresponding sides have equal ratios.</u>

  • AM/AD = AN/AG

<u>Convert the ratio as below:</u>

  • (AD - MD)/AD = AN/(AN + NG)
  • (42 - 27)/42 = 20/(20 + 3x + 3)

<u>Simplify and solve for x:</u>

  • 15/42 = 20/(3x + 23)
  • 5/14 = 20/(3x + 23)
  • 1/14 = 4/(3x + 23)
  • 3x + 23 = 4*14
  • 3x + 23 = 56
  • 3x = 33
  • x = 11
a_sh-v [17]2 years ago
7 0

Answer:

x = 11

Step-by-step explanation:

Since the given triangle are proportional to each other. So,

AM/AD = AN/AG

(AD - MD)/AD = AN/(AN + NG)

=> (42 - 27)/42 = 20/(20 + 3x + 3)

=> 15/42 = 20/23 + 3x

=> 15(23 + 3x) = 42(20)

=> 345 + 45x = 840

=> 45x = 840 - 345

=> 45x = 495

=> x = 495/45

=> x = 11

You might be interested in
What is the leading coefficient of the polynomial function? <br><br> y=-x^4+4x^2
attashe74 [19]
<h3>Answer:  -1</h3>

Explanation:

The given equation is the same as y = -1x^4+4x^2

The leading term is the term with the largest exponent, so it's -1x^4

The leading coefficient is the coefficient of the leading term.

In short, we circle the first coefficient we see. This is assuming that the polynomial is in standard form where the exponents decrease when going from left to right.

6 0
2 years ago
Which of the following is NOT possible? A = A triangle where one angle measures 20 degrees and another angle measures 45 degrees
ArbitrLikvidat [17]

Answer:

C

Step-by-step explanation:

the angle measures of triangles must add up to 180 degrees. Since we are only given two angles, we can assume that all of the answers that add up to be below 180 degrees fulfill this requirement with the third angle. However, answer choice C adds up to 190 degrees on the first two angle, which means that no matter how low the third angle is, it will never add up to 180 degrees.

5 0
3 years ago
Can someone please help me? I keep losing points...
Archy [21]

Answer:

$5,490

Step-by-step explanation:

i = prt

i = ($61,000)(.03)(3)

5,490

5 0
3 years ago
Read 2 more answers
Help with this please
SVEN [57.7K]

Answer:

1. 26:5 or  

\frac{26}{5} or

5.2 as a decimal

2. 21:26 or  

\frac{21}{26} or

0.81 as a decimal

3. 21:5 or  

\frac{21}{5} or

4.2 as a decimal

4. 5:21 or  

\frac{5}{21} or

0.24 as a decimal

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.  

To write a ratio, we count the number of each quantity we are comparing. A part to whole ratio for letters and vowels would be the part compared to the whole. For example, there are 21 consonants to 26 letters in the alphabet. We write 21:26 or \frac{21}{26} or 0.81. We can also compare the number of vowels which is 5:26 or

A part to part ration compares a part to a part like the number of consonants is 21 with the number of vowels is 5. We write the ratio as consonants : vowels.  

21:5 or  

\frac{21}{5} or

4.2 as a decimal.  

We can reverse and write vowels : consonants.

5:21 or  

\frac{5}{21} or

0.24 as a decimal.  


5 0
3 years ago
5-2 ????=7-5 ???? which value of x is the solution to the above equation?
saw5 [17]
5-2x=7-5x
-2x+5x=7-5
3x=2
X=2/3
8 0
3 years ago
Other questions:
  • How many feet are in 10 yards??
    15·2 answers
  • Joe deposits $30,000 for his retirement in an account with a 6% simple interest rate. How long will it take Joe to earn $21,600
    13·2 answers
  • Whats BD<br> pls help meee
    8·1 answer
  • 4/5 of the 315 members of a book club are male.How many female members are there in the club?
    15·1 answer
  • It intersects its midline at (-3.5,-0.8) and it has a maximum point at (4.1,0.7) what is the units
    5·1 answer
  • Part E<br> 1e. Subtract the binomial 12y2 – 4y3 from the trinomial 7y - 2y3 + 5y2
    7·1 answer
  • What should be added to 'x' to get 'y'?
    13·2 answers
  • Children mother is so sorry :c i got my stuff taken away and forgot all about brainly when i got my stuff back :c please underst
    11·2 answers
  • Connor gets one hour of lunch and recess every day at school. He eats lunch first, and then gets to go outside for recess. He be
    14·1 answer
  • F(x) = 3x + 2<br> What is f(5)?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!