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lesantik [10]
3 years ago
13

Please help. the question is in the picture.

Mathematics
2 answers:
Harlamova29_29 [7]3 years ago
8 0

We have measures of all tree sides of the both triangles,

so we can use SSS to check if the triangles are similar.

|ED|/|AB| =5/10=1/2

|DC|/|BC| = 4/8 = 1/2

|EC|/|AC| = 6/12 = 1/2

We see that all tree pairs are in proportion, so these triangles ΔABC and ΔEDC are similar.

We have enough information to prove that ΔABC similar to ΔEDC.

Ugo [173]3 years ago
5 0

We see E is a midpoint so AC:EC=2:1

So our scale factor for similarity must be 2. Let's check the other two sides

AB:ED = 10:5 = 2:1 good

BC:DC = 8:4 = 2:1 good

Each side of ABC is twice its respective side of EDC, so we've shown they're similar.

Answer: Yes


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5 0
3 years ago
Read 2 more answers
Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0
2 years ago
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