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2 years ago

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 substitution. 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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Answer:

27 pages in 1 hour

Step-by-step explanation:

9*3 = 27

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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

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3 years ago

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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)

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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

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3 years ago

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Blababa [14]

Answer:

I think 5ft 6in tall is maria

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3 years ago