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
Brilliant_brown [7]
3 years ago
11

Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f

actor that describes a dilation from BC to FG? Give the exact scale factor and state whether the dilation is an expansion or a contraction.
If side AB has length 17/26 what is the length of side EF? Give the exact, un-rounded value.




PLEASE HELP ASAP

If the area of ABCD is 147 square inches, what is the area of EFGH? Give the exact answer.

Mathematics
1 answer:
olasank [31]3 years ago
8 0

Answer:

\large \boxed{\text{A. }\dfrac{13}{7}\text{; B. }\dfrac{17}{14} \text{; C. 507 in}^{2}}

Step-by-step explanation:

A. Scale factor

When you dilate an object by a scale factor, you multiply its line lengths by the same number.

If EF/AB = 13/7, the scale factor is 13/7.

B. Length of EF

\begin{array}{rcl}\dfrac{EF}{AB} & = & \dfrac{13}{7}\\\\\dfrac{EF}{\frac{17}{26}} & = & \dfrac{13}{7}\\\\EF & = & \dfrac{13}{7}\times\dfrac{17}{26}\\\\ & = &\dfrac{1}{7}\times\dfrac{17}{2}\\\\ & = & \mathbf{\dfrac{17}{14}}\\\end{array}\\\text{The length of EF is $\large \boxed{\mathbf{ \dfrac{17}{14}}}$}

C. Area of EFGH

If the lengths in a shape are all multiplied by a scale factor, then the areas will be multiplied by the scale factor squared.

ABCD is dilated by a scale factor of 13/7, so its area is dilated by a scale factor of

\left(\dfrac{13}{7} \right)^{2} = \dfrac{169}{49}

The area of its dilated image EFGH is

\text{Area of EFGH} = \text{147 in}^{2} \times \dfrac{\text{169}}{\text{49}} = 3 \times 169\text{ in}^{2} = 507 \text{ in}^{2}\\\\\text{The area of EFGH is $\large \boxed{\textbf{507 in}^{\mathbf{2}}}$}

You might be interested in
The temperature at 6 am today was T. Yesterday
Paladinen [302]

Answer:

T-X

Step-by-step explanation:

Today=T

Yesterday = X

To find the diffrence you need to subtract Today from Yesterday then you will get your answer

5 0
3 years ago
Help me plssss:((( i need help
aliina [53]

Answer:

About 38

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is 6 divided by 25.2
mr_godi [17]
6/25.2
Multiply both sides by 5 so 25.2 is a whole number:
30/126
and then simplify by dividing by 6: 
5/21 which is equal to 0.2381.

Hope this helps :)
6 0
3 years ago
Jerry had 45 tickets for games at a carnival.he used 1/3 of the tickets to play ball-toss game. He used 2/5 of the tickets to pl
MrRa [10]
45 / 3 = 15
45 - 15 = 30
30 / 5 = 6
6 x 2 = 12
30 - 12 = 18
The answer is D:18
7 0
2 years ago
Find the possible values for m<1
Anuta_ua [19.1K]
0.5 that would be half of one if one is greater than the variable M



I really hope this helped ... have a great day !
4 0
3 years ago
Other questions:
  • X to the power of negative 2 equals 25
    7·1 answer
  • The area of a circular trampoline is 115.88 square feet. What is the radius of the trampoline? Round to the nearest hundredth.
    11·1 answer
  • What is the least integer value in the solution set to 7(3x – 1) ≤ 4x? <br> –1 <br> 2 <br> 3 <br> 7
    13·1 answer
  • Corespondenta dintre numele si prenumele oamenilor defineste o functie ? justificati
    7·1 answer
  • The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t). C(t)
    13·2 answers
  • 12 of a number b increased by 7
    11·1 answer
  • As much milk as the first recipe. How much mlik does
    14·1 answer
  • How many decimal places are in the product 4.4x0.99x6.3?
    11·1 answer
  • Can someone explain how 8.75 multiplied by 0.8 is 7??? It just don't make sense... I don't see why the number got smaller instea
    8·2 answers
  • Find the area of a trapezoid with sides of 8cm 14cm 8cm 21cm and a height of 7cm​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!