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vodka [1.7K]
3 years ago
15

Find the value of x so that ST is parallel to PR.

Mathematics
1 answer:
const2013 [10]3 years ago
7 0

if ST is parallel to PR than triangle PRQ and triangle STQ will be congurent

and now using property of congurent triangle

RQ/PQ = TQ/SQ

(4x-3+3)/(25+5)= 3/5

4x/30 = 3/5

4x = 3×30/5= 18

x = 18/4 = 9/2

x = 4.5

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How many 3-letter sequences can be formed if the second letter must be a vowel (A, E, I, O, or U), and the third letter must be
erica [24]

Answer:

120 ways

Step-by-step explanation:

Given that, 3-letter sequences should be formed, where the second letter must be a vowel (A, E, I, O, U) and the third letter must differ from the first letter.

There are 26 alphabets in English,

so, firstly let us fix the second letter to be one of the vowels

now we are left with 25 alphabets and now let us fix the third letter to be an alphabet from the remaining 25 alphabets.

now, we are left with 24 alphabets and the first letter can be any of these 24 alphabets.

so, there are 24 ways to fill the sequence.

The same thing can be done with the other 4 vowels.

so, total number of ways =   5 × 24 = 120 ways.

 

8 0
3 years ago
How many 3/4's are in 2?
Ludmilka [50]

Answer:

2 divided by  3/4 = 2 12/3

3/4 times 2 2/3 =2

4 0
3 years ago
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Classify Angle 3 & Angle 4 by choosing the correct term from the choices below.
nika2105 [10]

\qquad \qquad\huge \bf༆ Answer ༄

The given angles 3 and 4 shares a common arm, therefore the angles are known as Adjacant Angles

6 0
2 years ago
Read 2 more answers
a school cafeteria makes cheese sauce for macaroni using 15 cups of Swiss cheese and 17 cups of cheddar cheese Perry tries to ma
deff fn [24]

No, Perry is not using the correct ratio, because 15:17 is not equivalent to 5:7

15 divided by 3 is indeed 5 but divided 17 by 3 does not give you 7, nor a whole number.



I hope this helps.

3 0
3 years ago
Read 2 more answers
2(3x+2)=2x+28<br><br> What is x?
kherson [118]

Answer:

x = 6

Step-by-step explanation:

<u>Step 1:  Distribute </u>

2(3x + 2) = 2x + 28

(2 * 3x) + (2 * 2) = 2x + 28

(6x) + (4) = 2x + 28

<u>Step 2:  Subtract 2x from both sides </u>

6x + 4 - 2x = 2x + 28 - 2x

4x + 4 = 28

<u>Step 3:  Subtract 4 from both sides </u>

4x + 4 - 4 = 28 - 4

4x = 24

<u>Step 4:  Divide both sides by 4 </u>

4x / 4 = 24 / 4

<em>x = 6 </em>

Answer:  x = 6

5 0
3 years ago
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