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3 years ago

Line QR, line RS and line SQ are midsegments of triangle WXY. The perimeter of WXY is ____ cm.

Mathematics

2 answers:

zvonat [6]3 years ago

5 0

Answer: 14.5 cm

Step-by-step explanation:

The mid point theorem says that if line joining the midpoints of the any two sides , then this line becomes parallel to the third side and it becomes half of the third side.

Here , if consider firstly Q and R are mid-points of XW and XY then,

QR║WY such that

$WY=\timesQR=2\times2.93=5.86\ cm$

Similarly, RS║XW such that

$XW=2\timesRS=2\times2.04=4.08\ cm$

Similarly, QS║XY such that

$XY=2\timesQS=2\times2.28=4.56\ cm$

Now, the perimeter of the triangle= $WY+XW+XY=5.86+4.08+4.56=14.5\ cm$

Pachacha [2.7K]3 years ago

5 0

Answer:

the answer is D

Step-by-step explanation:

just took the test on edg

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The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece choo

Butoxors [25]

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

$y\leq 40-x$ ....(1)

$y\leq x-20$ ...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

$y=-x+40$ ...(3)

$y=x-20$ ...(4)

Adding equation (3) and (4) we get

$2y=20$

$y=10$

Substitute y=10 in equation (3) we get

$10=40-x$

$x=40-10=30$

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

$y=40$

Substitute y=0 in equation (3)

$x=40$

Substitute x=0 in equation (4)

$y=-20$

Substitute y=0 in equation (4)

$x=20$

Substitute x=0 and y=40 and in equation (1)

$40\leq 40$

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

$-20\leq -20$

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

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shusha [124]

Multiply the first equation by -1

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Free_Kalibri [48]

Answer:

Step-by-step explanation:

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DENIUS [597]

9514 1404 393

Answer:

52°: angles 4, 13, 18
128°: angles 1, 3, 14, 17
44°: angles 5, 12, 15
136°: angles 2, 6, 11, 16
84°: angles 7, 10
96°: angles 8, 9

Step-by-step explanation:

Where a transversal (t or u) crosses parallel lines (m and n), there are four angles formed at each intersection. Corresponding and vertical angles are congruent.

Angles in a linear pair are always supplementary. Of course, the angles interior to a triangle always total 180°. These facts let you find the relationships of all the angles in the figure.

Angle 13 corresponds to the given angle 52°, so has the same measure. Angles 4 and 18 are vertical angles with respect to those, so also have the same measure. Angles 1 and 3, 14 and 17 are supplementary to the ones just named, so all have measure 128°.

In the same way, angles on the other side of the figure can be found from the one marked 44°. Angles 5, 12, and 15 also have that measure; and angles 2, 6, 11, and 16 are supplementary, 136°. Angles 7 and 10 finish the triangle interior so that its sum is 180°. That means they are 180° -52° -44° = 84°. Of course, angles 8 and 9 are the supplement of that value, 96°.

In summary:

52°: angles 4, 13, 18
128°: angles 1, 3, 14, 17
44°: angles 5, 12, 15
136°: angles 2, 6, 11, 16
84°: angles 7, 10
96°: angles 8, 9

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