Answer:
32 tablespoons
$2.8
Step-by-step explanation:
Problem 1:
A chef has 2 cups of vinegar and she knows that there are 8 fluid ounces in one cup.
So, in total in 2 cups of vinegar, there are (8×2) =16 fluid ounces of liquid.
Now, 2 tablespoons volume is there in 1 fluid ounce.
Therefore, in total in 2 cups of vinegar, there are (16×2) =32 tablespoons of volume. So, option A is correct. (Answer)
Problem 2:
In a market, 7 oranges are sold for $2.45.
So, in this market 8 oranges are sold for
=$2.8 (Answer) {By simple unitary method of calculation}
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°