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
Irina-Kira [14]
2 years ago
15

Which measurements would be correct for trapezoid EFGH if it were similar to trapezoids ABCD?

Mathematics
2 answers:
grandymaker [24]2 years ago
5 0
<span>C side EF=18 cm; side GH = 30 ; height = 6 cm </span>
Stella [2.4K]2 years ago
5 0

Answer: Option C

Step-by-step explanation:

The fact that the trapezoid EFGH and the trapezoid ABCD are similar, this means that any dimension must be scaled by the same scale factor.

so:

AB = a*HG

DC = a*EF

H1 = a*H2

where a is the scale factor.

so we have that:

15cm = a*GH

9cm = a*EF

3cm = a*H2

now, let's analyze the options:

A) if EF = 27cm, we have:

9cm = a*27cm

a = 9/27 = 1/3

GH = 45cm

15cm = a*45cm

a = 15/45 = 1/3

and H2 = 3cm

3cm = a*3cm

a = 1

The scale factor is not the same in the 3 equations, so this option is not correct.

B) here we have that GH = 15cm = AB, so from this we will have a = 1, but the heights are different, so this can not be the correct option.

C) EF = 18cm

9cm = a*18cm

a = 1/2

GH = 30cm

15cm = a*30cm

a = 1/2

H2 = 6cm

3cm = a*6cm

a = 1/2

in this case we have that a is the same for the 3 equation, so the scale factor is constant and we have that bot trapezoids are similar.

Option D also has different scale factors, where for the lines EF and GH the scale factor is a = 1/4, and for the height the scale factor is 1/3.

The only correct option is C.

You might be interested in
The population of a city has decreased by 27% since it was last measured. If the current population is 7300, what was the previo
Tema [17]

Answer:

the answer is 9271

Step-by-step explanation:

if 7300 is 73%, then you need to add 27% to get 100% which is 9271

7 0
1 year ago
The function g(x) is graphed on the coordinate grid.
blagie [28]

Answer:

The first one

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 7/6 ÷ 4 in simplest form
serg [7]
\frac{7}{6} \div 4= \frac{7}{6} \times \frac{1}{4} = \frac{7\times 1}{6\times 4} = \frac{7}{24}

7/24 is your answer :)
7 0
3 years ago
Read 2 more answers
Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side
svp [43]
A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
      = (7 - 5) ÷ 2
      = 2 ÷ 2
      = 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²) 
      = √(5² - 1²)
      = √(25 - 1)
      = √24
      = 2√6

Last, we have all the information needed in order to calculate the area by the formula:

A =  \frac{(AB + CD)DH}{2}

A = (7 + 5) × 2√6 ÷ 2
   = 12√6

The area of the regular trapezoid is 12√6 square units.

7 0
3 years ago
If ray BD bisects angle CBE, ray BC is transparent to ray BA, angle CBD = (3x -1 ) degrees, and angle DBE = (7x - 13) degrees, f
Over [174]
Make sure all words are spelled correctly.
Try different keywords.
Try more general keywords.
Try fewer keywords.
5 0
3 years ago
Other questions:
  • Consider the following pair of equations: y = −2x 8 y = x − 1 Explain how you will solve the pair of equations by substitution.
    11·2 answers
  • An object’s volume is 0.12 kL. What is its volume in liters?
    7·1 answer
  • The figure shows a tank in the form of a rectangular prism that is 25% full of water. How many more gallons of water will it tak
    7·1 answer
  • Answer question 30 all a&amp;b&amp;c
    8·1 answer
  • What is 64cm2 converted
    8·2 answers
  • May you please help me. Do not Skip this Question. URGENT!
    15·1 answer
  • 7. Juan borrows $115 from his parents for a new cell phone. He agrees to pay his parents back the
    6·1 answer
  • Can someone plz help me with this one problem!!!
    6·1 answer
  • Eight more than the product of a number and 5 is 9.
    11·1 answer
  • The function y= -2(x-2)^2+6 shows the daily profit (in hundreds of dollars) of a hot dog stand, where X is the price of a hot do
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!