m∠FDE = 52°
Solution:
Given data:
DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠ABF + m∠CBF = 180°
116° + m∠CBF = 180°
m∠CBF = 64°
If CD || BE, then CD || BF.
Hence CD || BE and BE || FD.
Therefore BFCD is a parallelogam.
<em>In parallelogram, Adjacent angles form a linear pair.</em>
m∠CBF + m∠BFD = 180°
64° + m∠BFD = 180°
m∠BFD = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠BFD + m∠DFE = 180°
116° + m∠DFE = 180°
m∠DFE = 64°
we know that DE ≅ DF.
<em>In triangle, angles opposite to equal sides are equal.</em>
m∠DFE = m∠DEF
m∠DEF = 64°
<em>sum of all the angles of a triangle = 180°</em>
m∠DFE + m∠DEF + m∠FDE = 180°
64° + 64° + m∠FDE = 180°
m∠FDE = 52°
Answer:
C and D are unchanged, but E increases.
Step-by-step explanation:
Given equation of circle
x^2+y^2+Cx+Dy+E=0
But we know that general equation of circle is with center at (h,k)
x^2 + y^2 -2hx -2ky + (h^2 + k^2 – r^2) = 0
Comparing both equations we get,
C = -2hx
D = -2ky
As in the given question we are not changing the coordinates of center so C and D will remain unchanged.
It also gives us
E = (h^2 + k^2 – r^2)
Decreasing r means that a lesser quantity will be subtracted from h^2 + k^2 which will increase the value of E.
Answer:
Step-by-step explanation:
Sin 45 equal to 1 by root 2
Then
1 by root 2 is equal to x by 11 root 2
Then
11 root by root 2 equal to x
Then answer will be 11
The land area of Florida is 170 000 square kilometres, this is because 1 700 000 divided by 10 is 170 000.
