Answer:
log (448)
Step-by-step explanation:
3 log(4) + log(7)
We know that a log b = log b^a
3 log(4) + log(7)
log 4^3 + log 7
log 64 + log 7
We know that log a + log b = log (a*b)
log (64 *7)
log (448)
Adding to the solutions and points gotten, we can further say that: Opposite angles of the parallelogram are congruent, by the theorem of Side Angle side (SAS) (i.e angle AEB = CED )
<h3>Meaning of Congruence</h3>
Congruence can be defined as a term used to depict a state of two object being equal, in harmony, and in agreement.
The congruence of a shaped is verified by some laws which they both must satisfy.
In conclusion, the triangle is congruent with the fact stated in the question and the additional fact added above.
Learn more about congruence: brainly.com/question/3168048
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Answer
4 6/12 or 2 3/4 cups of total ingredients
Step-by-step explanation:
There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.
You'd want to make the denominators the same numbers so it would be easier to divide.
So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.
Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.
''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.
If I were to add that it would be 2 3/6.
BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".
What is 2 3/6 times 2 = 4 6/12 total.
If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct
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:
21 + 12i
Step-by-step explanation:
Given
(3 - 4i)(1 + 5i) - (2 - i) expand the product of factors
= 3 + 11i - 20i² - 2 + i
= 3 + 11i + 20 - 2 + i collect like terms
= 21 + 12i
