Answer:
B
Step-by-step explanation:
If you look at A and you subtract 3x by 4x you get x and you subtract 3 from -7 and you get -10. But if you look at B you do the stuff in the parentheses first and you get 4x+12x+28=16x+28 and they're the same so it's B.
Answer:
<h3>a = 15</h3>
Step-by-step explanation:
5a - 5 - 15 = 3a + 6 + 4 <em>combine like terms</em>
5a + (-5 - 15) = 3a + (6 + 4)
5a - 20 = 3a + 10 <em>add 20 to both sides</em>
5a = 3a + 30 <em>subtract 3a from both sides</em>
2a = 30 <em>divide both sides by 2</em>
a = 15
Answer:
44°
Step-by-step explanation:
From sin rule:
a / sin A = b / sin B = c / Sin C
3.6 / sin b = 5.1 / sin 100
Cross multiply :
5.1 * sinb = 3.6 * sin 100
Sin b = 3.5453079 / 5.1
Sin b = 0.6951584
b = sin^-1(0.6951584)
b = 44.039
b = 44°
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:
Step-by-step explanation:
