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]
2 years ago
15

In this diagram, ABAC – AEDF. If the area of ABAC = 6 in?, what is the area of AEDF?

Mathematics
1 answer:
shepuryov [24]2 years ago
3 0

Answer:

2.7 in²

Step-by-step explanation:

similar triangles have the same angles, and all side lengths (or other distances) of one triangle have the same scaling factor to the side lengths of the other triangle.

so, we know the relation between the 2 baselines is 2/3, as this is the factor to turn the baseline of the large triangle into the baseline of the smaller triangle.

in other words

EF = BC × 2/3

2 = 3 × 2/3

correct

how do we calculate the area of a triangle ?

Area = baseline × height / 2

from BAC we know

Area = 6

baseline = 3

height = ?

6 = 3 × height / 2

12 = 3 × height

height = 4

aha !

now, EDF has a height too that we need to calculate is Area. and this height has the same scaling factor compared to the larger triangle as the side lengths : 2/3

so, for EDF we know

Area = ?

baseline = 2

height = 4 × 2/3 = 8/3

therefore, the area is

Area = (2 × 8/3) / 2 = (16/3) / 2 = 8/3 = 2.66666... ≈ 2.7

the shirt answer would be :

we know from the 2 baselines that the scaling factor for each distance is 2/3.

for the area we need to multiply 2 distances, so that means we have to multiply both by 2/3. and so on the formula for the area we have to use 2/3 × 2/3.

2/3 × 2/3 = 4/9

=>

Area small = Area large × 4/9 = 6 × 4/9 = 24/9 = 8/3 ≈ 2.7

You might be interested in
Can you show all steps to simplify (3x-4)+(x+3)^2
ella [17]
<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x  + 5 ..........(combine like terms and simplify)

hope that  helps</span>
3 0
3 years ago
Molly bought 12.5 yards of fabric for $4.50 a yard to make dog beds.she uses 2.5 yards of fabric for each dog bed. She sells eac
Kay [80]
First, you need to divide 12.5/2.5= 5. After that, you need to multiply 17.50x5=87.50. So your answer is $87.50.
6 0
3 years ago
Read 2 more answers
M&lt;2 = 4x - 26,<br> m&lt;3 = 3x + 4
mestny [16]

Answer:

m<2 = 4x - 26 = 4(30) - 26 = 94 degrees

m<3 = 3x + 4 = 3(30) + 4 = 94 degrees

Step-by-step explanation:

Congruent angles are equal, so m<2 = m<3

4x - 26 = 3x + 4

x = 30

m<2 = 4x - 26 = 4(30) - 26 = 94 degrees

m<3 = 3x + 4 = 3(30) + 4 = 94 degrees

8 0
3 years ago
ANY MATH EXPERTS PLS HELP RN I GOT 30 MIN LEFT I'll MARK BRAINLIEST TO WHO ANSWER'S FIRST
garri49 [273]

Answer:

y = -1/4x - 6

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from the graph.</em>

Point (-4, -5)

y-intercept (0, -6)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute:                    m=\frac{-6+5}{0+4}
  2. Add:                              m=\frac{-1}{4}

<u>Step 3: Write linear function</u>

y = -1/4x - 6

7 0
3 years ago
Can someone show me how you get it and the answer
pochemuha

Answer: b=8 m=2

Step-by-step explanation: when x is 0 y=8 so that gives you the y-intercept. When you subtract 8-6 its 2 which is over 2 which is 2

8 0
3 years ago
Read 2 more answers
Other questions:
  • 2x+4/5-6=8<br><br> I need help ASAP
    10·1 answer
  • A survey asked 247 students what their favorite subject was. Of those students, there were 115 boys. One hundred two students an
    9·1 answer
  • And express delivery company charges by the The pound a package that weighs 5 pounds cost $24.50 overnight Ryan job equation to
    14·1 answer
  • Given the functions f(n) = 11 and g(n) = −2(n − 1), combine them to create an arithmetic sequence, an, and solve for the 31st te
    7·1 answer
  • Can anyone help with this?
    11·2 answers
  • Simplify 3c÷c²-d²-3d÷d²-c²<br>​
    11·1 answer
  • Hayden uses 3 cups of water to make a broth for soup.He uses 3 times as many cups of milk how many fluid ounces of broth does ha
    12·1 answer
  • Simplify: √18 - √24 + √54
    8·2 answers
  • Slope=-4, y-intercept=-5
    8·1 answer
  • 7. If y varies jointly with x and z, and y = 24
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!