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:
d. 540 deg
Step-by-step explanation:
2 pi radians = 360 deg
(360 deg)/(2pi rad) = 1
3 pi * (360 deg)/(2 pi rad) = 3 * 180 deg = 540 deg
Answer:
Abdominal pain can be caused by many conditions. However, the main causes are infection, abnormal growths, inflammation, obstruction (blockage), and intestinal disorders. Infections in the throat, intestines, and blood can cause bacteria to enter your digestive tract, resulting in abdominal pain.
Answer:
0.141
Step-by-step explanation:
There are ₇C₁ ways to choose 1 woman from 7.
There are ₅C₃ ways to choose 3 men from 5.
There are ₁₂C₄ ways to choose 4 people from 12.
So the probability is:
₇C₁ ₅C₃ / ₁₂C₄
7 × 10 / 495
0.141
Answer:
Hey there!
3 x 5/4 = 3 x 5 ÷ 4 = 5 x 3 ÷ 4
5 x 4/3 = 5 x 4 ÷ 3 = 4 x 5 ÷ 3
4 x 3/5 = 4 x 3 ÷ 5 = 4 x 3 ÷ 5
Hope this helps :)
