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3 years ago

If two triangles have three congruent, corresponding

Mathematics

1 answer:

Tcecarenko [31]3 years ago

5 0

Answer:

a pair of corresponding sides must be shown congruent

Step-by-step explanation:

The triangles are "similar" if corresponding angles are congruent. The triangles will only be "congruent" if corresponding sides are also congruent. The additional information needed is that there is one congruent pair of corresponding sides. (If there's one pair, all pairs of corresponding sides will be congruent.)

Having one pair of corresponding sides congruent would allow you to invoke either of the ASA or AAS congruence postulates.

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Pls solve this is ez

iren [92.7K]

Answer:

12 square centimeters

Step-by-step explanation:

6*4*1 all divided by two

24/2=12 square centimeters

4 0

3 years ago

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Solve the following equation and verify the results 4(2x-3)+5(3x-4)=16

Licemer1 [7]

Answer:

I got x=48/23 or 2 2/23

Step-by-step explanation:

7 0

3 years ago

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sunayana borrowed a sum of rs 12,500 at 12% per annum simple interest for 1 year and 6 months and lent to bishwant at the same r

Mashcka [7]

Answer:

Rs 66

Step-by-step explanation:

FV₁=PV.(1+r·t)

Pv=12500, r=0.12,t=1.5

FV₁=12500 x (1+0·12x1.5)=14750 ( simple interest)

FV₂=PV(1+r)^n

PV=12800 r = 0.12 n= 1.5

FV₂=12800x(1+0.12)^1.5

=14816 (compound interest)

FV₂-FV₁=14816-14780=66

7 0

3 years ago

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Work out m and c for the line: y = 2 − 3 x

spin [16.1K]

Answer:

m = -3

c = 2

Step-by-step explanation:

This equation is given in slope-intercept form. The general structure of these equations is:

y = mx + c

In this form, "m" represents the slope and "c" represents the y-intercept. As you have been given the entire equation, the only thing you have to do is rearrange the equation to find which values correspond with the variables.

y = 2 - 3x -----> y = -3x + 2

Therefore,

m = -3

c = 2

8 0

2 years ago

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SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8.

Y_Kistochka [10]

Answer:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

Step-by-step explanation:

Mean SAT scores = 1026

Standard Deviation = 209

Mean ACT score = 20.8

Standard Deviation = 4.8

We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.

The formula to calculate the z-score is:

$z=\frac{x-\mu}{\sigma}$

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.

z-score for junior scoring 860 in SAT exam will be:

$z=\frac{860-1026}{209}=-7.59$

z-score for junior scoring 16 in ACT exam will be:

$z=\frac{16-20.8}{4.8}=-1$

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

4 0

3 years ago