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:
51.36=38
Step-by-step explanation:
You apply all these together:
64-31-3.64 + 22=51.36
51.36=38
the table:4 represents a linear function.
What is system of linear equations?
The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is a solution set for a system of linear equations.
Not a Solution
If there is no intersection of any lines, or if the graphs of the linear equations are parallel, then the system of linear equations cannot be solved.
An Endless Number of Options
A set of infinite points exists for which the L.H.S. and R.H.S. of an equation become equal, indicating that a system of linear equations has an infinite number of solutions.
Unique fixing a series of linear equations
For table 4: The slope will be (8-6)/(3-5) = 2/-2 = -1
and (10-8)/(1-3) = 2/-2 = -1
Hence, the table:4 represents a linear function.
For a function to be linear the slope of all the segments should be same.
Learn more about system of linear equations, by the following link.
brainly.com/question/25858757
#SPJ1
In my opinion the answer is <span>m2 – 100 = –99
proof
</span>m2 – 100 =<span>(m – 10)(m + 10)
for eg. m=1, </span>(-9)(11)= <span>–99</span>
The slope of a line is given by the change in y coordinates over the change in x coordinate.
The slope of line DE will be (4 - -3)/ (7-1) = 7/6
If M1 and M2 are slopes of two perpendicular lines at a point then
M1× M2 = -1
Thus, the slope of a perpendicular to line DE will be -6/7.
