Answer:
- 1. First blank: <u>∠ACB ≅ ∠E'C'D'</u>
- 2. Second blank: <u>translate point E' to point A</u>
Therefore, the answer is the third <em>option:∠ACB ≅ ∠E'C'D'; translate point D' to point B</em>
Explanation:
<u>1. First blank: ∠ACB ≅ ∠E'C'D'</u>
Since segment AC is perpendicular to segment BD (given) and the point C is their intersection point, when you reflect triangle ECD over the segment AC, you get:
- the image of segment CD will be the segment C'D'
- the segment C'D' overlaps the segment BC
- the angle ACB is the same angle E'C'D' (the right angle)
Hence: ∠ACB ≅ ∠E'C'D'
So far, you have established one pair of congruent angles.
<u>2. Second blank: translate point D' to point B</u>
You need to establish that other pair of angles are congruent.
Then, translate the triangle D'C'E' moving point D' to point B, which will show that angles ABC and E'D'C' are congruents.
Hence, you have proved a second pair of angles are congruent.
The AA (angle-angle) similarity postulate assures that two angles are similar if two pair of angles are congruent (because the third pair has to be congruent necessarily).
The mass of water will change its temperature is 44.09 g.
Given that the temperature is change by 3.0°C when 635 J of heat is added to it.
Based on the given information, we know the following variables:
ΔT=3°C
Q=635J
C=(4.8 J)/(g×°C)
Here, we want to do is rearrange the equation to solve for m and this can be done by dividing both sides by C and ΔT to get m by itself like this:
m=Q/(ΔT×C)
Now, we want to substitute all the given values in the above formula, we get
m=635J/(3°C×(4.8J/(g×°C)))
m=635J/(14.4J/g)
m=44.09g.
Hence, the mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it 44.09g.
Learn more about temperature from here brainly.com/question/5993190
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Answer:
Step-by-step explanation:
Given expression 
,
we have to rewrite the logarithm as a quotient of common logarithms and then evaluate
Using property of logarithm ,
Given expression
becomes,
(approx))
(approx)
Substitute , we get,
Thus,
Answer:
Categorical
Step-by-step explanation:
THIS ANSWER IS NOT VERIFIED SO IT MAY BE WRONG AND PLEASE MARK ME AS BRAINLIEST
The answer is- b. explanation. it’s b
