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°
X= 12 + y
So then plug in
12 + y + y = 12
2y=0
Y= 0
X + 0 = 12
X= 12
this is prob wrong lol but hopefully it helps
X is 9 or c because -26-10 is -36 and -36/-4 is 9
Answer:
The Area is 99 units², while the perimeter is 40 units
Step-by-step explanation:
Area can be found by multiplying the length of the rectangle by the width of the rectangle. Counting the boxes on the side gives you 11 horizontally and 9 vertically. Multiplying these two gives you an area of 99. The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Area is always squared which is why there is a ² after units.
Perimeter can be found by adding all 4 sides together. Counting the boxes gives you 11 + 11 + 9 + 9. This gives you a perimeter of 40. The measurement is in units because there is no given unit of measurement such as inches, feet, or meters. Perimeter is not squared like area.
Answer:
3.4
Step-by-step explanation:
2/5 as a decimal is 0.4, and we can add 3 to it, getting 3.4