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anyanavicka [17]
3 years ago
15

Which pair of segments are corresponding parts of the congruent quadrilaterals that are pictured below?

Mathematics
2 answers:
Ulleksa [173]3 years ago
8 0

Answer:

Segment A B and Segment Z W

Step-by-step explanation:

Lunna [17]3 years ago
6 0

Answer:

Segment A B and Segment Z W

Step-by-step explanation:

we know that

If two figures are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

Sides C D and Y X are congruent,

sides C B and Y Z are congruent,

sides Z W and A B are congruent,

sides A D and X W are congruent

so

ABCD≅WZYX

The corresponding sides are

AB and WZ

BC and ZY

CD and YX

AD and WX

That means

AB ≅ WZ

BC ≅ ZY

CD≅ YX

AD ≅ WX

The corresponding angles are

∠A and ∠W

∠B and ∠Z

∠C and ∠Y

∠D and ∠X

That means

∠A ≅ ∠W

∠B ≅ ∠Z

∠C ≅ ∠Y

∠D ≅ ∠X

therefore

The answer is

Segment A B and Segment Z W

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Evaluate 3x + 7 for x = 5.
suter [353]

Answer:

22

Step-by-step explanation:

If x = 5, then plug 5 in for x .

3(5) + 7

15 + 7 = 22

6 0
3 years ago
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Solving Linear equations 25 =x + 19
soldi70 [24.7K]

Steps to solve:

25 = x + 19

~Subtract 19 to both sides

6 = x

Best of Luck!

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The angles of a pentagon are x, x − 5 0 , x + 100 , 2x + 150and 2x + 300 . Find all the angles.
miv72 [106K]

Answer:

The interior angles are 70°,65°,80°,155° and 170°

Step-by-step explanation:

step 1

Find the sum of the interior angles of the pentagon

The sum is equal to

S=(n-2)*180°

where

n is the number of sides of polygon

n=5 (pentagon)

substitute

S=(5-2)*180°=540°

step 2

Find the value of x

Sum the given angles and equate to 540

x+(x-5)+(x+10)+(2x+15)+(2x+30)=540°

7x+50=540°

7x=490°

x=70°

step 3

Find all the angles

x=70°

(x-5)=(70-5)=65°

(x+10)=(70+10)=80°

(2x+15)=(2*70+15)=155°

(2x+30)=(2*70+30)=170°

8 0
3 years ago
Pleaseee help
Semenov [28]

Answer:

1. 2/4 = 1/2

2. 9/24= 3/8

3. 56/64= 7/8

Step-by-step explanation:

6 0
3 years ago
Suppose you just purchased a digital music player and have put 12 tracks on it. After listening to them you decide that you like
Vilka [71]

Answer:

a) 9% , not unusual

b) 42.4%

c) 48.4%

d) 11.1% , 44.4% , 44.4%

Step-by-step explanation:

We have the following information from the statement:

n = 12

r = 4

a)  

P (likebothofthem) = P (likefirstsong) * P (likesecondsong)

P = 4/12 * 3/11

P = 0.09 = 9%

The probability is not unusual, unusual is considered less than 0.05 or 5%

b)

P (likeneither) = P (notlikefirstsong) * P (notlikesecondsong)

P = 8/12 * 7/11

P = 0.424 = 42.4%

c) P (likeexactlyoneofthem) = P (firstsongliked) * P (secondsongnotliked) + P (firstsongnotliked) * P (secondsongliked)

P = (4/12 * 8/11) + (8/12 * 4/11)

P = 0.484 = 48.4%

d)

a)

P (likebothofthem) = P (likefirstsong) * P (likesecondsong)

P = 4/12 * 4/12

P = 0.111 = 11.1%

The probability is not unusual, unusual is considered less than 0.05 or 5%

b)

P (likeneither) = P (notlikefirstsong) * P (notlikesecondsong)

P = 8/12 * 8/12

P = 0.444 = 44.4%

c) P (likeexactlyoneofthem) = P (firstsongliked) * P (secondsongnotliked) + P (firstsongnotliked) * P (secondsongliked)

P = (4/12 * 8/12) + (8/12 * 4/12)

P = 0.444 = 44.4%

8 0
3 years ago
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