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LuckyWell [14K]
3 years ago
14

Somebody please help me out with this question

Mathematics
1 answer:
Rufina [12.5K]3 years ago
6 0

Answer:

<em>x = 108°</em>

Step-by-step explanation:

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Which of the following completes the proof?
adoni [48]

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).

6 0
4 years ago
Read 2 more answers
What mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it?
Lina20 [59]

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

#SPJ9

7 0
2 years ago
Rewrite each logarithm as a quotient of common logarithms. Then, evaluate to the nearest hundredth.
faust18 [17]

Answer:

\log_912=1.131

Step-by-step explanation:

 Given expression  \log_912 ,

we have to rewrite the  logarithm as a quotient of common logarithms and then evaluate

Using property of logarithm ,

\log_a(b)=\frac{\log_e(b)}{\log_e(a)}

Given expression

\log_912 becomes,

\log_9(12)=\frac{\log_e(12)}{\log_e(9)}

\log_e12 =2.485(approx))

\log_e9 =2.197(approx)

Substitute , we get,

\frac{\log_e 12}{\log_e 9} = 1.131

Thus,  \log_912=1.131

8 0
3 years ago
If you ask all your classmates for their favorite colors, you are gathering what kind of data?
Ira Lisetskai [31]

Answer:

Categorical

Step-by-step explanation:

THIS ANSWER IS NOT VERIFIED SO IT MAY BE WRONG AND PLEASE MARK ME AS BRAINLIEST

6 0
3 years ago
Read 2 more answers
Dont be shy give me the answer now
DochEvi [55]
The answer is- b. explanation. it’s b
6 0
3 years ago
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