Answer:
<em>DF = 10 units</em>
<em>EG = 5.04</em>
Step-by-step explanation:
<u>Properties of Rhombus
es</u>
- All Sides Of The Rhombus Are Equal.
- The Opposite Sides Of A Rhombus Are Parallel.
- Opposite Angles Of A Rhombus Are Equal.
- In A Rhombus, Diagonals Bisect Each Other At Right Angles.
- 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
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 
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°.
6. FG is the hypotenuse of triangle OFG, thus:
EG is double OG: OG=2*2.52=5.04
EG = 5.04
Answer:
Step-by-step explanation:
yo yo yo
= bo obobo ooboob
Answer:
See below.
Step-by-step explanation:
We know that the equation 
is a true equation for a particular value of x.
Now, let's see what happens if we divide everything by 4. In other words:
Divide:
So, we get .
When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the <em>same thing to both sides of the equation. </em>
Therefore, 
is also true for the same value of x because it is just a simplified version of .
This is a geometric sequence with a common ratio of -1/3 and an initial term of -324. Any geometric sequence can be expressed as:
a(n)=ar^(n-1), in this case a=-324 and r=-1/3 so
a(n)=-324(-1/3)^(n-1) so the 5th term will be
a(5)=-324(-1/3)^4
a(5)=-324/81
a(5)= -4
Answer:
15 : 29
Step-by-step explanation:
(3 3/4) / (7 1/4) = ((3·4+3)/4) / ((7·4+1)/4)
= (15/4) / (29/4) = 15/29
The ratio of the two numbers is 15 : 29.
