Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Find the solutions you need quickly and accurately with help from our knowledgeable community.

PLSS HELP geometry it's about relations within triangles. need help solving for variables

PLSS HELP Geometry Its About Relations Within Triangles Need Help Solving For Variables class=
PLSS HELP Geometry Its About Relations Within Triangles Need Help Solving For Variables class=

Sagot :

Akposevictoridn

Using the definition of congruent triangles, the missing measurements are:

23. m = 7; LO = 14; NO = 14

24. x = 15; m∠QTS = 90°

25. p = 3; IJ = 15; KJ = 15

26. r = 3; UW = 48

27. y = 7; m∠DEF = 50°

28. m = 5; p = 10

What are Congruent Triangles?

If two triangles are congruent, then all its corresponding sides and angles are equal.

23. The two triangles are congruent by SAS, therefore:

LO = NO

m + 7 = 2m

7 = 2m - m

7 = m

m = 7

LO = NO = m + 7 = 7 + 7 = 14

LO = 14

NO = 14

24. But triangles are congruent by SSS, therefore:

3x = 5x - 30

3x - 5x = -30

-2x = -30

x = 15

m∠QTS = 2(3x) = 6x = 6(15)

m∠QTS = 90°

25. Both triangles are congruent by ASA, therefore:

4p + 3 = 3p + 6

4p - 3p = -3 + 6

p = 3

IJ = KJ = 4p + 3 = 4(3) + 3 = 15

IJ = 15

KJ = 15

26. The two triangles are congruent by SAS, therefore:

5r + 9 = 8r

9 = 8r - 5r

9 = 3r

9/3 = r

r = 3

UW = 2(8r) = 16r = 16(3)

UW = 48

27. Both triangles are congruent by SSS, therefore:

3y + 4 = 5y - 10

3y - 5y = -4 - 10

-2y = -14

y = 7

m∠DEF = 2(3y + 4) = 6y + 8 = 6(7) + 8

m∠DEF = 50°

28. Both triangles are congruent by SSS, therefore:

2m = 10

m = 10/2

m = 5

2p - 5 = p + 5

2p - p = 5 + 5

p = 10

Learn more about congruent triangles on:

https://brainly.com/question/1675117

#SPJ1

Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com is your go-to source for dependable answers. Thank you for visiting, and we hope to assist you again.