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3 years ago

Given: BC bisects DBE. Prove: ABD is congruent to ABE

Mathematics

1 answer:

Arada [10]3 years ago

7 0

Answer:

See below

Step-by-step explanation:

BC bisects <DBE and if AC is a straight line then you have that:

<ABD + <DBC = 180 (straight angle because of line AC)

<ABE + <CBE = 180 ( straight angle because of line AC)

Because BC bisects <DBE => < DBC = <CBE

So <ABD and <ABE must be the same to both sum 180 when added < DBC

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What is the solution of the system ?Use substitution.<br> Y= -3x<br> X + y = -4

DedPeter [7]

I hope this helps you

x-3x= -4

-2x= -4

x=2

y= -3.2

y= -6

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3 years ago

Make a list of 5 numbers with a mean of 12 and a mode of 15. <br><br> Explain if you can

mart [117]

The mean is the average value of the numbers given in the series

The mode is the number that is appears more than any other number given in the series

Step-by-step explanation:

Given challenge is make a list of 5 numbers

The list of 5 number is = 8,10,12,15,15

$Mean value = (8+10+12+15+15)/5 =60/5 = 12$

so required mean is 12 has been computed

Mode = 15 ( the number 12 is appeared in two times 8,10,12,15,15)

Final answer

The required numbers are = 8,10,12,15,15

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3 years ago

a. A 2017 poll found that 56% of college students were very confident that their major will lead to a good job. If 15 college s

lesya [120]

Answer:

0.01083 or 1.083%

Step-by-step explanation:

This problem can be modeled as a binomial probability model with probability of success p = 0.56.

The probability of x=13 successes (a college student being very confident their major would lead to a good job) in a number of trials of n=15 is:

$P(X=x) = \frac{n!}{(n-x)!x!} *p^x*(1-p)^{n-x}\\P(X=13) = \frac{15!}{(15-13)!13!} *0.56^{13}*(1-0.56)^{15-13}\\P(X=13) = 0.01083=1.083\%$

The probability is 0.01083 or 1.083%.

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3 years ago

30.54

leonid [27]

<h3>Answer: Choice 2) sin(B) = cos(90-B)</h3>

Explanation:

The rule is that

sin(A) = cos(B)

if and only if A+B = 90.

Solving for A gets A = 90-B

So we end up with

sin(90-B) = cos(B)

which is the same as

cos(B) = sin(90-B)

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3 years ago

Rectangles ABCD and EFGH are similar. The perimeter of rectangle ABCD is 5 times greater than the perimeter of rectangle EFGH. W

yulyashka [42]

C. Area of rectangle is A=L X W

If the length is 5 times bigger and the width is 5 times bigger, than the area is 25 times bigger

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3 years ago

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