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Ivahew [28]
3 years ago
10

Prove that a line parallel to one side of a triangle divides the other two sides proportionally. Be sure to create and name the

appropriate geometric figures. (10 points)
WILL GIVE BRAINLIEST IF CORRECT

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

in steps

Step-by-step explanation:

DE // BC

m∠ADE = m∠ABC   and m∠AED = m∠ACB

∴ ΔADE similar to ΔABC

AB/AD = AC/AE

(AD + DB) / AD = (AE + EC) / AE

AD/AD + DB/AD = AE/AE + EC/AE

1 + DB/AD = 1 + EC/AE

DB/AD = EC/AE    (AD/DB = AE/EC)

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Solve for x.
Daniel [21]

Answer:

x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}

Step-by-step explanation:

-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}

4 0
3 years ago
Part 1 of 2
raketka [301]

Answer:

The coach ticket she bought was =$142 and the

The first ticket was =$1002

That is so the amount of coach ticket she bought was 1560 and the first class ticket is 11880

4 0
2 years ago
Find 5/6 of 15. Express your answer in simplest form.
brilliants [131]
I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions
6 0
3 years ago
In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t
sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that p = 0.5

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that n = 4. So

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625

P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25

P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125

0.3125 = 31.25% probability that it is not ideal.

7 0
2 years ago
142 degrees, 18, degrees, 18 degrees<br> unique<br> more than one <br> no tringle
Juli2301 [7.4K]
Answer : no triangle

Explanation : To be considered a triangle, it has to be 180 degrees
8 0
3 years ago
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