Ten (10) more than (+) half (
) of a number (x) is (=) eight (8) less than (-) twice (2 x ) the number (x).
x + 10 = 2x - 8 Multiply both sides by 2
x + 20 = 4x - 16 Subtract x from both sides
20 = 3x - 16 Add 16 to both sides
36 = 3x Divide both sides by 3
12 = x
18 divide by 36 = 0.5 or 1/2.
Answer:
a = 10 cm
Step-by-step explanation:
Area of triangle, A = 51 cm²
base, b = 10.2 cm
Let height of triangle be a cm
<em><u>Formula:-</u></em>
hence, the missing length is 10 cm
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:131.78
Step-by-step explanation:
