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
astra-53 [7]
3 years ago
9

What is the area of triangle DEF

Mathematics
1 answer:
kolezko [41]3 years ago
3 0

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

\frac{4}{34} = \frac{9}{x} ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

You might be interested in
5. During the election for class president,
Alex Ar [27]

60 more students voted for Kevin

Step-by-step explanation:

Given

total students = 300

Voted for Jennifer = 40%

Voted for Kevin = 60%

We will find number of students for one of them and then will subtract from total to find the others.

So,

Students who voted for Jennifer:

= 40\%\ of\ 300\\=0.40*300\\=120\ students

Students who voted for Kevin

==Total\ students-Students\ who\ voted\ for\ Jennifer\\=300-120\\=180\ students

In order to calculate that how many more students voted for Kevin :

180-120 = 60

Hence,

60 more students voted for Kevin

Keywords: Percentage

Learn more about percentage at:

  • brainly.com/question/11007026
  • brainly.com/question/11207748

#LearnwithBrainly

4 0
3 years ago
Tomas wants to buy a new baseball bat. The one he likes costs $130, but it's one sale for $104. What is the percent of the disco
OLga [1]
130 x .20% = 26
130-26 = 104
So 20%
3 0
2 years ago
Read 2 more answers
Lamar is writing a coordinate proof to show that a segment from the midpoint of the hypotenuse of a right triangle to the opposi
Zanzabum

1. N is a midpoint of the segment KL, then N has coordinates

\left(\dfrac{x_K+x_L}{2},\dfrac{y_K+y_L}{2} \right) =\left(\dfrac{0+2a}{2},\dfrac{2b+0}{2} \right) =(a,b).

2. To find the area of △KNM, the length of the base MK is 2b, and the length of the height is a. So an expression for the area of △KNM is

A_{KMN}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 2b\cdot a=ab.

3. To find the area of △MNL, the length of the base ML is 2a and the length of the height is b. So an expression for the area of △MNL is

A_{MNL}=\dfrac{1}{2}\cdot \text{base}\cdot \text{height}=\dfrac{1}{2}\cdot 2a\cdot b=ab.

4. Comparing the expressions for the areas you have that the area A_{KMN} is equal to the area A_{MNL}. This means that the segment from the midpoint of the hypotenuse of a right triangle to the opposite vertex forms two triangles with equal areas.

6 0
3 years ago
Read 2 more answers
Solve the following systems mathematically using substitution <br><br>-4x-3y=12<br><br>y=2x-14
miv72 [106K]

Answer:

(3,-8)

Step-by-step explanation:

6 0
3 years ago
Write three sets of Pythagorean triplets such that each set has numbers less than 30​
AlexFokin [52]

Answer:

The three sets of Pythagorean triplets such that each set has numbers less than 30 are 3, 4 and 5; 6, 8 and 10; 5, 12 and 13

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • To find out whether the students really like the school's lunch, the school randomly selects half of the student body to survey
    8·1 answer
  • How to multiply a whole number with a mixed number?
    9·1 answer
  • What is the slope of y=-4
    5·2 answers
  • Find the value of x.<br><br> log 3 x=4
    7·1 answer
  • Write the linear equation in slope intercept form 1,3 and -3,-5
    9·1 answer
  • If (8z − 9)(8z + 9) = az2 − b, what is the value of a? (5 points)
    5·1 answer
  • Maria has added 4 liters of pure water to 4 liters of a 20% sugar syrup. What is the concentration of the resulting solution?
    7·2 answers
  • HELP HELP ASAP!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • What’s the simplest form?
    12·1 answer
  • What is 5(2x - 2y) - (4x + 3y)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!