answer.
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
xenn [34]
2 years ago
13

Sofia cuts a piece of felt in the shape of a kite for an art project. The top two sides measure 20 cm each and the bottom two si

des measure 13 cm each. One diagonal, EG, measures 24 cm.
Kite E F G D with diagonals is shown. The lengths of sides E F and F G are 20 centimeters. The lengths of sides E D and D G are 13 centimeters.

What is the length of the other diagonal, DF?

5 cm
16 cm
21 cm
32 cm
Mathematics
2 answers:
pshichka [43]2 years ago
7 0

Answer:

21

Step-by-step explanation:

kogti [31]2 years ago
5 0

Answer: 21

Sofia cuts a piece in the shape of a kite for an art project  

top two sides measure 20 cm each  

bottom two sides measure 13 cm each.  

One diagonal, EG, measures 24 cm

Find out the length of the other diagonal, DF.

explanation-

DE = EF = 20cm

DG = GF = 13cm

EG = 24cm

DF = ?

In kite shape

One diagonal is the perpendicular bisector of the other diagonal.

i.e EG is the perpendicular bisector of DF

i.e EG is divided into two equal parts

thus EA = AG = 12cm

in Δ EAF

By applying the pythagorus theorem

we have

EF² = FA²+ EA²

20² = 12² + FA²

400 -144 = FA²

256 =FA²

16cm = FA

Now in Δ DAG

DG² = AG² + DA²

13² = 12 ²+ DA²

169 -144 = DA²

25 = DA²

5cm = DA

Step-by-step explanation:

You might be interested in
What is a fraction that is equivalent to 0.997
Stels [109]
997/1000 hope this helps
5 0
2 years ago
Read 2 more answers
Which expression is equivalent to 10x2y + 25x2? 5x2(2y + 5) 5x2y(5 + 20y) 10xy(x + 15y) 10x2(y + 25)
olya-2409 [2.1K]
The answer would be A. 5x2(2y+5)
5 0
2 years ago
Read 2 more answers
The construction of a tangent to a circle given a point outside the circle can be justified using the second corollary to the in
ladessa [460]
3)AD = CD = The radius o the circle. 
AD = DE = The radius o the greatest circle. 
4)The sum of the angles of any triangle equate is 180 degrees. 
5)Measure DCA = Measure CAD, Measure DAE = Measure AED.
9)Statment 8.  
3 0
1 year ago
Read 2 more answers
4.what is the number in standard form? 7.053×10^6
vichka [17]
The answer is 7,053,000. 
8 0
1 year ago
Read 2 more answers
A trail runner gets a new map of her favorite mountain. • Her old map has a scale of 1 cm to 100 m. • Her new map has a scale of
KIM [24]

Answer:

The trail on her new map is 8 cm

Step-by-step explanation:

Here, we are interested in knowing the the length of the trail on the new map.

The scale on her old map is 1 cm represents 100 m

While her new map has a scale of 1 cm to 500 m

Now, running a trail of 40 cm on her old map, we need to get the actual distance.

The actual distance will be 40 * 100 = 4,000 m

Now, we shall convert this to the new map scale

We simply convert this to cm in the new map scale by dividing the 4,000 m by 500 m

That would be 4,000/500 = 8 cm

So the trail on her new map is 8 cm

3 0
1 year ago
Other questions:
  • What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
    14·2 answers
  • Find the m∠BCA, if m∠DCE = 70° and m∠EDC = 50°.<br><br> 50°<br> 60°<br> 70°<br> 80°
    8·2 answers
  • If the m&lt;7 = 115 degrees, find the measure of &lt;2
    10·2 answers
  • The radius of a cylindrical construction pipe is 1.5ft . If the pipe is 14ft long, what is its volume? Use the value 3.14 for π
    5·1 answer
  • On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar
    9·2 answers
  • During the holiday season, the Texas lottery has a scratch-off game called "Stocking Stuffer". One dollar is required to play th
    9·1 answer
  • Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain. A) ΔABC has reflected across the y-axis and tr
    12·2 answers
  • A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
    9·1 answer
  • 1. Find three rational numbers between 7/12 and 7/11
    6·1 answer
  • There are many square prisms with volume 125 in. Let w represent the side length of the square base and h represent the height i
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!