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marin [14]
3 years ago
15

In the diagram, AE = 2AC and ∠BAC ≅ ∠DAE. What additional information is necessary to prove that ΔABC is similar to ΔADE, using

the SAS similarity theorem? AB = 2AD AD = 2AB BC = 2DE DE = 2BC
Mathematics
2 answers:
ss7ja [257]3 years ago
7 0

Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...

... AD = 2AB

since you want the sides of triangle ADE to be twice then length of those in triangle ABC.

sammy [17]3 years ago
7 0

Answer:

Step-by-step explanation:

The answer is B

AD=2AB

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The standard form of the equation of a parabola is y= x2 - 8x + 29.
fomenos

Answer:

A

Step-by-step explanation:

Put brackets around the first two tems.

y = (x^2 - 8x) + 29

Take 1/2 coefficient of the linear term -8. Square that result. Add it inside the brackets.

1/2 (- 8) = - 4

(- 4)^2 = 16

y = (x^2 - 8x + 16) + 29

Subtract 16 outside the brackets.

y = (x^2 - 8x + 16) + 29 - 16  

Do the subtraction

y = (x^2 - 8x + 16) + 13

Represent what is inside the brackets as a square.

y = ( x - 4)^2 + 13

The answer is A

7 0
3 years ago
A widget company produces 25 widgets a day,5 of which are defective.Find the probability of selecting 5 widgets from the 25 prod
MariettaO [177]

Answer:

0.292

Step-by-step explanation:

Combinations can be used to solve the following problem.

We are choosing 5 widgets from 25 = ²⁵C₅

We want to select zero widgets from defective widgets = ⁵C₀

From the 20 non-defective widgets we want to select 5 = ²⁰C₅

So the probability is:

P = ( ⁵C₀ * ²⁰C₅) / ²⁰C₅

P = (1 * 15504) / 53130

= 15504/ 53130

=0.292 ..

7 0
3 years ago
£100 in the ratio 3:2
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Answer:

66.66 (other currency)

Step-by-step explanation:

If every £3 represents 2 of another currency, you just need to figure out how many groups of £3 are in £100 (so £100/£3 = 33.33). Now multiply this value by 2 to get the equivalent of £100 in another currency.

7 0
3 years ago
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The graph shows the number of pictures a traffic camera takes each minute.
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Answer:

Every 8 minutes, 4 pictures are taken.

Step-by-step explanation:

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6 0
2 years ago
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blondinia [14]

Answer:

90%

Step-by-step explanation:

First, find the total number of tickets sold.

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Now you need to find what percent 810 is of 900.

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810/900 = 0.9

Convert this to a percentage.

0.9 × 100% = 90%

90% of tickets were sold at a discount.

3 0
3 years ago
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