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andreyandreev [35.5K]
3 years ago
11

Side ST=5, side US=8, side VW=5, and side XV=8. What side corresponds to side TU and can be used to show that triangle STU is co

ngruent to triangle VWX by SSS?
Mathematics
1 answer:
marishachu [46]3 years ago
6 0
WX has to be congruent to side TU in order for the two triangles to be congruent by SSS.
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Solve for r. <br><br> √2/3r + 1 = 23
Keith_Richards [23]

Answer:

2nd option

Step-by-step explanation:

\frac{\sqrt{2} }{3} r + 1 = 23 ( subtract 1 from both sides )

\frac{\sqrt{2} }{3} r = 22 ( multiply both sides by 3 to clear the fraction )

\sqrt{2} r = 66 ( divide both sides by \sqrt{2} )

r = \frac{66}{\sqrt{2} } × \frac{\sqrt{2} }{\sqrt{2} } ( rationalising the denominator )

r = \frac{66\sqrt{2} }{2} = 33\sqrt{2}

7 0
2 years ago
Read 2 more answers
PQRS is a parralelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j. find the position vector of P
g100num [7]

The value of the variable x = 6 and y = 5. Then the position vector of P will be 6i + 5j.

<h3>What is the equation of a line passing through two points?</h3>

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

PQRS is a parallelogram. the position vector of Q R and S are 5i +7j, -3i-8j and -4i-6j.

Then the point of Q, R, and S will be (5, 7), (-3, -8), and (-4, -6).

Let the point P be (x, y).

We know that the slope of the line QS and PQ will be same and line is passing through (-3, -8).

y = 1.444x + C

-8 = 1.444 (-3) + C

C = -3.667

Then the equation will be

y = 1.444x – 3.667  …1

The slope of the line PQ and RS will be same and line is passing through (5, 7).

y = -2x + D

7 = -2 (5) + D

D = 17

Then the equation will be

y = -2x + 17  …2

By solving equation 1 and 2, we have

x = 6 and y = 5

Then the position vector of P will be

⇒ 6i + 5j

The graph is given below.

Learn more about straight-line equations here:

brainly.com/question/380976

#SPJ1

6 0
2 years ago
IF you are in 5th K12 I really need help and if you know the answer them answer
ratelena [41]

Answer:

=0.013793

Step-by-step explanation:

hope i helped

3 0
3 years ago
Answer this number pattern: Last one. Really need this to be answered!<br> 1,8,27,64_,_,_
Lunna [17]
The numbers to complete the pattern are 125, 216, 343. The complete pattern is 1, 8, 27, 64, 125, 216, 343. Hope this helps.
5 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Burka [1]

Answer:  d) 0.9693

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

refer to the z-table attached.  

The table shows the percent from the MEAN.  The percent below the mean is 50% so that needs to be added to the value in the table.  

Look on the left side for 1.8 and the top for 0.07 (which is 1.87).  

The value is 0.4693 --> add 0.5 to that value to get 0.9693.

6 0
3 years ago
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