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
Anna35 [415]
2 years ago
11

PLeAsE i NeEd HeLp!!!!

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
5 0

Answer:

<em>DF = 10 units</em>

m\angle DFG = 28^\circ

<em>EG = 5.04</em>

Step-by-step explanation:

<u>Properties of Rhombus es</u>

  1. All Sides Of The Rhombus Are Equal.
  2. The Opposite Sides Of A Rhombus Are Parallel.
  3. Opposite Angles Of A Rhombus Are Equal.
  4. In A Rhombus, Diagonals Bisect Each Other At Right Angles.
  5. Diagonals Bisect The Angles Of A Rhombus.

The image contains a rhombus with the following data (assume the center as point O):

DO = 5 units

GF = 5.6 units

m\angle FEO = 62^\circ

4. Calculate DF

Applying property 4, diagonals bisect each other, thus the length of DF is double the length of DO, i.e. DF=2*5 = 10:

DF = 10 units

5. Calculate m\angle DFG

Applying property 4 in triangle EFO, the center angle is 90°, thus angle EFO has a measure of 90°-62°=28°.

Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.

m\angle DFG = 28^\circ

6. FG is the hypotenuse of triangle OFG, thus:

OG^2=FG^2-OF^2

OG^2=5.6^2-5^2

OG^2=6.36

OG=\sqrt{6.36}=2.52

EG is double OG: OG=2*2.52=5.04

EG = 5.04

You might be interested in
The table shows a proportional relationship
AlekseyPX

Answer:

where the table ?

Step-by-step explanation:

6 0
3 years ago
Help please I really need it!!!
Amanda [17]
X=-4
X-2=2x+2
Subtract 2 and x from both sides to get
-4=1x
4 0
2 years ago
Find the volume of the cone. Round your answer to the nearest tenth.
Anton [14]

Answer:115.4685yd^3

Step-by-step explanation:

Volume of cone=1/3πr2h

V=1/3×3.142×3.5yd×3.5yd×9yd

V=115.4685yd^3

6 0
3 years ago
Simplify: <br> (3-4i)(1+5i)-(2-i) <br><br><br><br> Show all of your work please
Rudik [331]
So first you want to do the multiplication.

(3-4i)*(1+5i)

So what you want to do is multiply everything inside the parenthesis by everything inside the other parenthesis.

Or,

3 * 1 + 3 * 5i + -4i * 1 + (-4i) * 5i

Or,

3 + 15i + -4i - 20i

Then,

3 + -9i

3 - 9i - (2 - i)

Open the parenthesis, and since it has a minus before it reverse the operator inside of the parenthesis.

3 - 9i - 2 + i

Or,

1 - 8i


8 0
3 years ago
Solve the equation. show your work. check your answer. 4y + 5 = - 31
zloy xaker [14]
5 = -31 -4y.
4y = -36
36/4 = 9
y= -9
8 0
3 years ago
Read 2 more answers
Other questions:
  • at a restaurant you order a meal and a beverage that costs $14. the sales tax is 6%, and you leave a 20% tip. what is the total
    12·2 answers
  • Jaimie swims 12 the length of the swimming pool every 14 of a minute.
    13·2 answers
  • Gavin buys 89 blue pansies and 86 yellow pansies. He will plant the flowers in 5 rows with an equal number of plants in each row
    6·2 answers
  • A construction worker has a rope that is 6 m long. She needs to cut it into pieces that are each 3/7 m long. How many such piece
    12·1 answer
  • Select all sets to which the value belongs
    15·1 answer
  • Find the volume of the following figure. Round your answer to the nearest whole
    10·1 answer
  • Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow
    13·1 answer
  • Look at the graph shown below:
    12·2 answers
  • Keesha Thompsons cousin is 8 years older than keesha. Write an expression for the age of keesha's cousin
    11·1 answer
  • Pls helppppp I need answers now I’ll mark you as brainlist
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!