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MrRissso [65]
3 years ago
11

Parallelogram NBPJ ~ parallelogram XHLD

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

∠J ⇔ ∠D

NB ⇔XH

∠P ⇔ ∠L

JN ⇔ DX

<u>Step-by-step explanation:</u>

A flat shape with 4 straight sides where opposite sides are parallel,opposite sides are equal in length, and opposite angles are equal is called Parallelogram.

Here in above picture, Parallelogram NBPJ ~ Parallelogram XHLD i.e. both are similar as all the sides and all the angles are congruent. . Since, parallelograms are similar every corresponding angle or side is also similar to other parallelogram . ∴ ∠J is similar to ∠D as angle D is corresponding to angle J in both parallelograms { ∠J ⇔ ∠D }.  Side NB is corresponding to side XH , so NB ⇔XH. ∠P is corresponding to ∠L , ∴ ∠P ⇔ ∠L. Side JN corresponds to Side DX , so JN ⇔ DX.

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g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i
Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0
3 years ago
What are the minimum and maximum measurements of 21 inches.
kirza4 [7]

Answer:

21

Step-by-step explanation:

6 0
3 years ago
In the figure, a line was constructed through point R perpendicular to line L. If EF = 20, then what is the length of ES?
valkas [14]
ES is half of EF since a chord is bisected by the radius. ES = 10
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3 years ago
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Please Please Help Me In These Math Questions!!!!’
Harman [31]

Answer:

m∠JLN = 42°

m∠MLK = 90°

m∠KLO = 42°

m∠JLO = 138°

m∠AGE = 160°

Step-by-step explanation:

m∠JLN = 90-48=42°

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO = 180-42=138°

For the second question, things become somewhat more complex.

We know that ∠GHD = 2x° and ∠AGH (x+15)°.

You correctly calculated that x=15°.

∠AGE is equal to both 180-(x+15)° and 180-2x°. Either equation will work just fine.

∠AGE = 180 - (15 + 15) = 180 - 30 = 160°

So m∠AGE = 160°

6 0
3 years ago
Please help and thank you
Diano4ka-milaya [45]

\sqrt{1600 \times 4}

40*2

= 80

Answer :C

7 0
3 years ago
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