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Georgia [21]
2 years ago
14

Complete the following chart to summarize the different ways to prove triangles are congruent

Mathematics
1 answer:
rjkz [21]2 years ago
3 0

Answer:

<u>SAS congruency:</u>

example---- figure attached.

<u>ASA congruency:</u>

What it says--- If any two angles and the included side are the same in both triangles, then the triangles are congruent.      

Information required---- two pair of congruent triangles and one corresponding sides.

example----figure attached.

<u>AAS congruency:</u>

What it says----if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

Information Required----Two angles and a non-included side are congruent.

example---- figure attached.

<u>HL congruency:</u>

What it says---- When two right triangles have corresponding sides that are congruent , the triangles are congruent.

Information required---- two right triangles and the sides are congruent.

Example--- figure attached.



           



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9. What value of m makes this equation true?<br> 1/2 (8m - 18) = 31
OverLord2011 [107]

Answer:

m = 10

Step-by-step explanation:

The value of <em>m</em> that would make this equation true is <em>10</em>. To figure this out you must work the equation to combine like terms. To start, remember PEMDAS. You would begin with <em>1/2 (8m - 18) </em>and multiply both <em>8m </em>and <em>18 </em>by <em>1/2. </em>Because half of <em>8</em> is <em>4</em> and half of<em> 18</em> is <em>9</em>, your new equation would be <em>4m - 9 = 31. </em>From here you would add nine to both sides to finish combining like terms. The equation from this point should be <em>4m = 40.</em> To find the value of <em>m</em>, you then have to divide both sides by <em>4</em>, leading to the equation/solution of <em>m = 10.</em>

7 0
2 years ago
If you can help with any of these two or both that would be great ! :) <br> thanks
Vladimir [108]

Answer:

hmmm not sure

Step-by-step explanation:

try mulitply the numbers

7 0
2 years ago
The population in Loopville decreases
mash [69]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The following data summarizes results from 945 pedestrian deaths that were caused by accidents. If one of the pedestrian deaths
VikaD [51]

Answer:

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

945 accidents.

In 64 of them, the pedestian was intoxicated.

In 292 of them, the driver was intoxicated.

Probability that the pedestrian was intoxicated or the driver was intoxicated.

(64+292)/945 = 0.3767

37.67% probability that the pedestrian was intoxicated or the driver was intoxicated.

6 0
3 years ago
PLS HELP TIMED QUESTION!!!
ser-zykov [4K]

Answer:

About 5043.58

Step-by-step explanation:

The standard form for an exponential decay after t time is:

\displaystyle f(t)=a(r)^{t/d}

Where a is the initial value, r is the rate decay, t is the time that has passed, and d is the amount of time it takes for 1 cycle.

The initial value is 9800. So a = 9800.

The quantity cuts in half. So, r = 1/2.

And it cuts in half every 6 days. For this question, we will convert this to hours. 6 days = 144 hours. So, we can let d = 144, where t will be in hours.

Therefore, our function is:

\displaystyle f(t)=9800\Big(\frac{1}{2}\Big)^{t/144}

Where t is the amount of time that has passed, in hours.

Then the quantity left after 138 hours will be:

\displaystyle f(138)=9800\Big(\frac{1}{2}\Big)^{138/144}\approx 5043.58

7 0
2 years ago
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