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
OLga [1]
3 years ago
6

The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater

than the area of the triangle DFG by 77 cm2. Find the areas of these triangles.

Mathematics
2 answers:
aev [14]3 years ago
5 0

Answer:


Step-by-step explanation:


Elden [556K]3 years ago
3 0

Answer:

Area of triangle DFG = 175

Area of triangle ABC  = 252

Step-by-step explanation:

It is given that,

The triangles ABC and DFG are similar and the ratio of their corresponding sides is 6:5. The area of the triangle ABC is greater than the area of the triangle DFG by 77 cm2.

Let area of triangle DFG = x  then area of triangle ABC = x + 77

<u>To find the area of 2 triangles</u>

ar(DFG)/ar(ABC = (5/6)²

x/(x + 77) = 25/36

36x = 25x + (25 * 77)

36x - 25x = 25 * 77

11x = 25 * 77

x = 175

Therefore area of triangle DFG = 175

Area of triangle ABC = 175 + 77 = 252

You might be interested in
Evaluate 5(x + y)2 when x = 3 and y = 9
irakobra [83]

Hey there!

Answer:\boxed{120}

Explanation:

5(x+y)2 when x = 3 and y = 9

Let's first move to x and y.

x=3\\y=9\\3+9=12

Now multiply 5 by x and y(3+9).

5*12(\text{x and y combined)}=60

Now we have the number 2 left, so we have to multiply 60 by 2.

60*2=120

\boxed{120}\text{ is your final answer.}

Hope this helps!

\text{-TestedHyperr}

4 0
3 years ago
What is 13/15÷5 3/4 ​
Nataliya [291]

Answer:

52/345

Step-by-step explanation:

3 0
2 years ago
There are 3 bracelets with 6 beads how many beads are there together whats 3 times 6
Studentka2010 [4]

Answer:

18

Step-by-step explanation:

6 x 3 = 18

3 0
2 years ago
Given z^3 = 3 + square root 3i which letter represents z
Marianna [84]

The expression that represents the value of z is \sqrt[3]{3 + i\sqrt 3 }

<h3>What are complex numbers?</h3>

Complex numbers are numbers that have real and imaginary parts

A complex number (n) is represented as:

n = a + bi

From the above expression, we have:

  • a represents the real part
  • bi represents the imaginary part

Given that:

z^3 = 3 + \sqrt 3 i

Rewrite the above expression as:

z^3 = 3 + i\sqrt 3

Take the cube roots of both sides

z = \sqrt[3]{3 + i\sqrt 3 }

The letters are not given.

Hence, the expression that represents the value of z is \sqrt[3]{3 + i\sqrt 3 }

Read more about complex numbers at:

brainly.com/question/11089283

8 0
2 years ago
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
tester [92]

So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.

Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:

17 × 2 = 34

Next, to find the long leg, or x in this case, multiply the short leg by √3:

17 × √3 = 17√3

<u>In short, x = 17√3 and y = 34. The correct option is the last option.</u>

8 0
3 years ago
Other questions:
  • A shark was swimming at 20 feet below sea level. it descended 36 feet. where is it now?
    5·1 answer
  • A B C D E Confirm Supplies for last year cost $1,477, which was $177 over budget. Rounded to the nearest 1%, by what percent did
    7·1 answer
  • Por favor me puede ayudar ​
    12·1 answer
  • Christie has $200 in her bank account. Every month, she deposits $20 into her account. The equation of the line that models the
    13·2 answers
  • How can you get 75 by using 5,7,6,3
    5·1 answer
  • The value of y varies directly with x, and when x=8, y=2. Write an equation to represent the direct variation.
    11·2 answers
  • Can someone please help me with this
    10·2 answers
  • Help is needed here
    13·1 answer
  • Is this correct? If it isn’t what’s the correct answer?
    13·2 answers
  • Question below please help
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!