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3 years ago

Find the missing segment in the attached image

Mathematics

1 answer:

uranmaximum [27]3 years ago

6 0

Answer:

25 units

Step-by-step explanation:

This problem can be solved by using concept of Basic proportionality theorem.

This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then

segment divided on those two sides are in equal proportion.

Let naem this triangle

the side containing 15 and 6 be AB, with A be point on segment having length 15 units

B be point on segment having length 6 units

c be point on segment having length ? units

DE line parallel to BC

Thus, if apply Basic proportionality theorem. in this then ratio formed will be

15/6 = ?/10

5/2 = ?/10

?= 5/2* 10 = 25

The length of missing segment is 25 units.

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2 years ago

Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third

asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

$average=\frac{81+87+x}{3}$

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

$80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85$

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

$80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x$

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

$\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87$

This ine $72\leq x} \leq 87$ quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

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Step-by-step explanation:

I believe that this is the answer.

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2 years ago

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