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°
Hello there! Your answer would be 75/6 is larger than 12 1/6.
Need an Explanation?:
Divide 75 by 6 to start so we can equally look at the numbers.
75/6 = 12.5
We know that .5 is equal to 1/2, so change .5 to 1/2.
That means we now have 12 1/2.
So, which is larger: 12 1/6 or 12 1/2?
Obviously 12 1/2 is larger, so this is the one you should choose.
<em>I hope this helps, and have a great day! Please don't hesitate to ask if you need more help with this specific question! </em>
52/72
13/18 is your answer. Therefore, C.
Answer:
Given the statement:
9 less than the sum of x and 5
"Sum of x and 5" means 
"
" means subtract
then;
the statement 9 less than the sum of x and 5 becomes;
⇒
⇒
Therefore, the expression for the given statement is 
This can be solved by finding their point of intersection on the graph, which is at point (1,3).