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
Bingel [31]
3 years ago
15

Quadrilateral ABCD is similiar to quadrilateral EFGH. The lengths of the three longest sides in quadrilateral ABCD are 60 feet,

40 feet, and 30 feet long. If the two shortest sides of quadrilateral EFGH are 6 feet long and 12 feet long, how long is the 4th side on quadrilateral ABCD? A) 18 feet B) 24 feet C)16 feet D)20 feet
Mathematics
1 answer:
babunello [35]3 years ago
8 0

Answer:

15 feet

Step-by-step explanation:

It is given that Quadrilateral ABCD is similar to Quadrilateral EFGH. This means that the corresponding sides of these two quadrilateral will be in the same proportion.

i.e.

Ratio of two corresponding sides would be the same. We are given longest three sides of ABCD and shortest two sides of EFGH. Let the 4th sides of ABCD i.e. the shortest side be x.

So, the ratio of the shortest sides of two quadrilaterals would be the same as the ratio of second shortest sides.

So,

x:6=30:12\\\\\frac{x}{6}=\frac{30}{12}\\\\ x=\frac{30}{12} \times 6\\\\ x = 15

So, the 4th side on quadrilateral ABCD would be 15 feet. None of the options match with the answer.

You might be interested in
What is the slope of the line that passes through the points (-9, -8)((−15,−16)? Write your answer in simplest form.
alexandr402 [8]

Answer:

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Slope=\dfrac{4}{3}

Step-by-step explanation:

Given:

Let,

point A( x₁ , y₁) ≡ ( -9 ,-8)

point B( x₂ , y₂ )≡ (-15 ,-16)

To Find:  

Slope = ?

Solution:

Slope of Line Segment AB is given as

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{-16-(-8)}{-15-(-9)}\\\\Slope(AB)=\dfrac{-16+8}{-15+9}\\\\Slope(AB)=\dfrac{-8}{-6}=\dfrac{4}{3}

Therefore the slope of the line that passes through the points (-9, -8),(−15,−16) is

Slope(AB)=\dfrac{4}{3}

4 0
3 years ago
Mackenzie has $70 in a savings account. The interest rate is 5%, compounded annually.
sladkih [1.3K]

Answer:

She will have $73.5 in 1 year

Step-by-step explanation:

She has $70 and the interest rate is 5% so we need to add 5% to the initial value

x = $70 + $70 * 5%

5% = 5/100

x = $70 + $70 * 5/100

x = $70 + $3.5

x = $73.5

She will have $73.5 in 1 year

8 0
3 years ago
Ebonie invests in $2500 today in an account earning 7%. How much will she have in 5 years?
nikdorinn [45]

Answer:

Amount she Receive in 5 years = $3506.37

Step-by-step explanation:

Given in question as

Ebonie invests amount in account = P = $2500

The interest rate she will have = 7%

The amount will keep in account for 5 years

Now we apply compound interest (CI ) to determine how much she will receive after 5 years ,

So , for CI

Amount = principal ( 1 + \frac{Rate}{100} ^ T     ,where T is Time

So, A = 2500 ( 1 +\frac{7}{100})^5

Or, A = 2500 (1.40255)

Or, A = $3506.37

Hence Amount she will receive $ 3506.37  Answer

3 0
3 years ago
What is 56/17 as mixed fraction
Romashka [77]

Answer:

3 5/17

17 goes into 56 three times with 5 remainder

6 0
3 years ago
Read 2 more answers
Solve for n.<br><br>1.11÷19=n<br>2.51÷83=n<br>3.42÷52=n​
weqwewe [10]

Answer:

n=209 answer for number 1.

5 0
3 years ago
Other questions:
  • How would I find 10% of 30 by using a proportion?
    8·2 answers
  • Which statements are true about x? Select three options.<br> Oxe Buc<br> XeBNC<br> XEAUC<br> Oxe Anc
    7·1 answer
  • I WILL GIVE BRAINLIEST!!!! HELP PLEASE!!!!!!!!!!!!!!!! BRAINLIEST!!!!!!!!!!!!! PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·2 answers
  • What is 130%of20$???!!!!!
    14·2 answers
  • What is the inverse of the logarithmic function f(x)= log2x.
    5·1 answer
  • I am awarding this a lot of points because 1, it's calculus and I know no one really wants to do that, and 2 I need actual answe
    10·1 answer
  • Whats the product of (x-3)(6x-2)
    12·1 answer
  • What is 3856 times 4656 equal
    8·2 answers
  • Escribe con letra 0.00125
    11·1 answer
  • +Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!