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
Makovka662 [10]
2 years ago
8

Does anyone know this

Mathematics
1 answer:
Phantasy [73]2 years ago
4 0

The value of x is 20.

Solution:

Sides of one triangle are 2x – 4 and 39.

Sides of another triangle are x + 6 and 24.

<u>Property of similar triangle:</u>

<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

$\frac{2x-4}{24} =\frac{39}{x+6}

Do cross multiplication.

(2x-4)(x+6)=39\times 24

2x^2+12x-4x-24=936

2x^2+8x-24-936=0

2x^2+8x-960=0

Divide by 2 on each of the term.

x^2+4x-480=0

Solve using quadratic equation.

(x-20)(x+24)=0

(x-20)=0, \ (x+24)=0

x = 20,  \ x = -24

Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.

Therefore x = 20.

You might be interested in
PLEASE HELP ME
lys-0071 [83]
Answer: The answer is the 3rd one
8 0
3 years ago
What's the difference between R300 and -R300 on a bank statement?​
bogdanovich [222]

Answer:

R300 is positive number but -R300 is negative so, on a bank statement R300is thousand times larger than -R300

3 0
2 years ago
Can some one please help me with is quetion
Galina-37 [17]
128/9223)8”,/2881/38 así
12–8-!2
8 0
2 years ago
Two students wanted to race 100 yards across a football field. How many feet will they run? (
Molodets [167]

Answer:

300 feet

Step-by-step explanation:

6 0
2 years ago
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow?
Anni [7]

Answer:

C)  6 feet

Step-by-step explanation:

set up a proportion of height/shadow = height/shadow

30/10 = h/2

cross-multiply:

10h = 60

h = 6

4 0
2 years ago
Read 2 more answers
Other questions:
  • What is 2−1.8 equal?
    13·2 answers
  • When statisticians collect information to find characteristics of a large group of people They survey part of the group. What is
    15·2 answers
  • Divide 1/4 DIVIDED 2/3 Help asap
    10·2 answers
  • What is the identity element of addition of real numbers?<br><br>A. 2<br>B. 0<br>C. -1<br>D. 1
    11·1 answer
  • Henry bought a new car for $22,568
    14·1 answer
  • What is (29-7) x 7^2+6
    11·1 answer
  • An investor has an account with stock from two different companies. Last year, her
    6·1 answer
  • PLZ HELPPP
    13·1 answer
  • The expression 6(x − 5) means
    10·1 answer
  • The guy wire is approximately blank feet long
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!