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frez [133]
3 years ago
11

PLZ HELP ASAP 15 POINTS!!!

Mathematics
2 answers:
Softa [21]3 years ago
6 0

Answer:

A. (AB/BC)=(CE/ED)

Step-by-step explanation:

Property of similar triangles :

If two triangles are similar then the corresponding sides are in same proportion,

Here, \triangle ABC\sim \triangle CED

By the above property,

\frac{AB}{BC}=\frac{CE}{ED}

Hence, the column prove would be,

            Statements                      Reason

1. AC ⊥ CD

Δ ABC is similar to ΔCED                         Given

2. (AB/BC)=(CE/ED)                          Property of similar triangle

3. Slope of AC = -AB/BC                    Definition of slope

Slope of CD = ED/CE

4. Slope of AC  × Slope of CD           Multiplying the slopes

= -AB/BC × ED/CE

5. Slope of AC  × Slope of CD           Substitution property of equality

= -CE/ED × ED/CE

6. Slope of AC  × Slope of CD = -1   Simplifying the right side.

Hence, option 'A' is correct.

icang [17]3 years ago
4 0

Answer:

A.(AB/BC)=(CE/ED)

Step-by-step explanation:

Properties of Similar Triangles  states two things

Corresponding angles are congruent (same measure)

Corresponding sides are all in the same proportion

That means AB/ BC = CE/ED

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2 years ago
A toy previously sold for $10.00 now sells for 75 cents. Calculate the decrease in the value of the toy
kramer
The decrease in the value of the toy is $9.25 if you subtract $ 0.75 from $10.00 then you get $9.25 so it's $9.25 cheaper
7 0
3 years ago
jill received 45 ballots from the student council election. Mr. Alvarez, the advisor drops off quite a few more and jill now has
Vitek1552 [10]

Answer: 205

Step-by-step explanation:

Initially, Jill received ballots from the student council election =  45

After, dropping ballot by Mr. Alvarez, new ballots he has = 250

Hence, The Ballots drooping by Mr. Alvarez = new ballots Jill has - Initial ballots Jill has

=  250 - 45

= 205

Therefore, Mr. Alvarez drop off 205 ballots.

8 0
3 years ago
Many games depend on how a ball bounces. For example, if different basketballs rebounded differently, one basketball would bounc
Crank

Answer:

Basketball = 0.743

Step-by-step explanation:

Given

Tennis:

Starting Height = 200 cm

Rebound Height = 111 cm

Soccer Balls;

Starting Height = 200 cm

Rebound Height = 120 cm

Basketball:

Starting Height = 72 inches

Rebound Height = 53.5 inches

Squash:

Starting Height = 100 inches

Rebound Height = 29.5 inches

For measuring the bounciness of a ball, one needs that starting Height of and the rebound Height of that ball which have been listed out above.

Calculating the rebound ratio of each balls.

Rebound Ratio = Rebound Height/Starting Height

Tennis: 111/200= 0.556

Soccer Balls: 120/200 = 1.667

Basketball: 53.5/72 = 0.743

Squash: 29.5/100 = 0.295

From the rebounding ratio calculated above, it can be seen that basketball has the highest rebound ratio of 0.743 and is the bounciest of all whole Squash has the least rebound of 0.295 ratio, hence it is the least bounce of all.

8 0
3 years ago
Both sets of values have an average of 13. Is Set A's standard deviation smaller, larger, or about the same as Set B's? (Note: T
Softa [21]

Answer:

  Set A's standard deviation is larger than Set B's

Step-by-step explanation:

Standard deviation is a measure of variation. One way to judge the value of standard deviation is by looking at the range of the data. In general, a dataset with a smaller range will have a smaller standard deviation.

The range of data Set A is 25-1 = 24.

The range of data Set B is 18-8 = 10.

Set A's range is larger, so we expect its standard deviation to be larger.

__

The standard deviation is the root of the mean of the squares of the differences from the mean. In Set A, the differences are ±12, ±11, ±10. In Set B, the differences are ±5, ±3, ±1. We don't actually need to compute the RMS difference to see that it is larger for Set A.

Set A's standard deviation is larger than Set B's.

5 0
3 years ago
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