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
Galina-37 [17]
3 years ago
14

In trapezoid ABCD, AC is a diagonal and ∠ABC≅∠ACD. Find AC if the lengths of the bases BC and AD are 12m and 27m respectively.

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
4 0

Answer:

Length of diagonal is 18 m

Step-by-step explanation:

Given in trapezoid ABCD. AC is a diagonal and ∠ABC≅∠ACD. The lengths of the bases BC and AD are 12m and 27m. We have to find the length of AC.

Let the length of diagonal be x m

In ΔABC and ΔACD

∠ABC=∠ACD      (∵Given)

∠ACB=∠CAD      (∵Alternate angles)

By AA similarity theorem, ΔABC~ΔACD

∴ their corresponding sides are proportional

\frac{x}{27}=\frac{12}{x}=\frac{AB}{CD}

Comparing first two, we get

⇒ \frac{x}{27}=\frac{12}{x}

⇒ x^2=27\times 12

⇒ x=\sqrt324=18

hence, the length of diagonal is 18 m



You might be interested in
Help thanksss. its mutiple choice
Flura [38]

Answer:

Points C,D, E and F are coplanar.

3 0
2 years ago
Scientific Notation:<br> what’s (2.2 x 10 to the -4) - (3 x 10 to the 2)
Marrrta [24]

Answer:

2.23\times10^4

Step-by-step explanation:

In order to get the answer to this question you need to turn the scientific notations into standard form then subtract the two standard forms.

(2.2\times10^{-4})-(3\times10^2)

Turn the notations into standard form:

2.2\times10^{-4} = .00022

3\times10^2=300

.00022-300=22300

=22300

Turn into notation form:

22300 = 2.23\times10^{4}

Hope this helps.

8 0
3 years ago
Select the correct answer.
Ierofanga [76]

Answer:

19.2x+96 units

Step-by-step explanation:

The perimeter of a square is 4 times the length of one side.

The length of the sides of a square is given by the expression 4.8x+24

To find the perimeter, we multiply this expression by 4.

Perimeter=4(4.8x+24)

We expand to obtain:

Perimeter=4*4.8x+4*24

This simplifies to:

Perimeter=19.2x+96

7 0
3 years ago
When 12 is added to a number the result is 32 less than 3 times the number.
sdas [7]


Let the number = x

12 + x = 3x - 32

x = 3x - 44 Subtract 12 from both sides

-2x = -44 Subtract 3x from both sides

x = 22 Divide by -2

4 0
3 years ago
Read 2 more answers
PLEASE HELP I BEG YOU!!!! <br> Graph the linear equation.<br><br> 2x+6y=−6
Taya2010 [7]

Answer:

it will be 8xy

Step-by-step explanation:

2x+6y=-6

2x+6y=8xy

3 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP. I CAN'T FIGURE THIS OUT
    12·2 answers
  • Need 78 pieces of wood 29 cm long. Boards are 6 m long. How many boards are needed?
    15·1 answer
  • Explain how to solve a circle for y in order to completely graph the circle.
    9·1 answer
  • The sum of two numbers is 36. The larger number is three times the smaller number. Find the numbers.
    9·1 answer
  • karla is making a dress. She paid $13.47 for 3 yards of fabric. what was the unit rate she paid per yard
    5·1 answer
  • Arrange the vehicles in descending order according to the altitudes at which they operate.
    14·2 answers
  • PLZ HELP ASAP SOLVE SIMMILAR TRIANGLES
    12·1 answer
  • Solve for x in the equation x^2 + 20x + 100 = 36
    8·2 answers
  • The product of two positive integers us 2005. F neither integer is 1, what is the sum of the two integers?
    6·1 answer
  • A car traveled 180 at constant rate. Write an equation that would make it easy to find the rate at which the car was traveling i
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!