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pantera1 [17]
2 years ago
8

Complete the proof that ∠PST≅∠QRT. S P Q R T

Mathematics
2 answers:
Dominik [7]2 years ago
6 0

Answer:

  5.  Substitution

  6.  Substitution

Step-by-step explanation:

The properties of congruence generally match those of equality;

  A ≅ A . . . . reflexive property

  A ≅ B, B ≅ C ⇒ A ≅ C . . . . transitive property

  A ≅ B, A ≅ C ⇒ B ≅ C . . . . substitution

__

In this proof, the conclusions (statements 5 and 6) are based on <em>substitution</em>. In each case, the elements of the congruence have previously been shown to be congruent to the same thing. This is the setup for making use of the substitution property of congruence.

EastWind [94]2 years ago
3 0

Answer: Transitive property of congruence

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Aliza reads 9 pages of a book in 1/3 hour. It takes her the same length of time to read each page. How many pages does Aliza rea
slava [35]

Answer:

27 pages in 1 hour

Step-by-step explanation:

9*3 = 27

7 0
3 years ago
Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
Find x, y<br><br> Please try to explain how you did it
BlackZzzverrR [31]
I believe this is scale factor? SF=new/old. 10/8= a scale factor of 1.25 (the image gets 1.25x bigger). To find x, multiply 5 by 1.25 and subtract the original length of 5 (you subtract this length because x is only the value of the new part of the triangle). X=6.25-5, X=1.25. Try to find y yourself using this scale factor. (Brainliest would be appreciated)
4 0
2 years ago
Find the distance between the points -18 and -42. Show your work for full credit. (2 points.)
Masja [62]

Answer:

-24

Step-by-step explanation:

Easy way: 42 - 18 = 24, then translate it to negative 24 because your numbers are negative.

A little bit harder way: -42 + (-18) or -42 + 18 = -24

5 0
3 years ago
Maria is 5ft 6in tall. If i inch equals 2,5 centimeters, how many centimeters call is<br> Maria?
Blababa [14]

Answer:

I think 5ft 6in tall is maria

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3 years ago
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