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Vladimir [108]
3 years ago
7

Chicos ayudenme rápidito urgente plis es para ahorita al menos con algunos plis doy corona al que me ayuda pero porfavor ayudenm

e sii ayudenme

Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Bueno, usaré el español xD

11. Recordemos que entre más negativo es un número, menor es.

a) - 6 > - 10

ya que - 10 es más negativo, por consiguiente es menor, esto llega a confundir ya que tenemos la noción de que si vemos una cifra alta, por consiguiente es mayor, esto pasa en los positivos.

b) 12 > - 16

c) - 7 < 0

d) 35 > - 80

e) -37 < - 24

f) - 40 < 15

g) - 18 < 10

h) - 17 < 0

i) |-21| = |21|

El valor absoluto de un número negativo es su positivo, por lo que también puede ser:

21 = 21.

j) |176| > 0, o también 176 > 0

k) |-479| > |478|, o también 479 > 478

l) |-1375| = |1375|, o también 1375 = 1375

12. De menor a mayor.

a) - 8, - 7, - 4, 0, 3

b) - 16, - 12, - 7, 8, 9

c) - 15, - 13, 0, 9, 11

d) - 47, - 43, - 31, 14, 29

e) - 17, - 15, - 12, 16, 19

f) - 26, - 21, - 10, 17, 26

g) - 61, - 58, - 49, 30, 50

13. De mayor a menor.

a) 6, 4, - 1, - 5, - 7

b) 8, 0, - 7, - 11, - 13

c) 19, 6, - 8, - 10, - 17

d) 21, - 9, - 18, - 24, - 27

e) 53, 47, - 6, - 43, - 48

f) 14, 6, - 18, - 39, - 45

g) 24, 16, 12, - 12, - 17

Salu2

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Problem 18

Answers:

~P -> Q: "if it is not fall, then the leaves change colors"

~P -> ~Q: "if it is not fall, then the leaves don't change colors"

P -> ~Q: "If it is fall, then the leaves don't change colors"

Q -> ~P: "If the leaves change colors, then it is not fall"

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Explanation:

Simply replace each letter with the corresponding definition. We replace each P with "it is fall" and each ~P with "it is not fall". The squiggly line means "not". The same idea applies with Q and ~Q.

==========================================

Problem 19

Answer: Choice A) 134

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Explanation:

AB = CD

8x = 4x+24

8x-4x = 24

4x = 24

x = 6

BC = 18x+26

BC = 18*6+26

BC = 134

==========================================

Problem 20

Answer: Choice C) x = 5 and y = 11

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Explanation:

(anglePQR)+(angleRQS) = 90

(12x-2)+(6x+2) = 90

18x = 90

x = 5

angle TQU = 90

10y-20 = 90

10y = 110

y = 11

==========================================

Problem 21

Answer:  99

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Explanation:

The remote interior angles add to the exterior angle (remote interior angle theorem)

(angle RPQ) + (angle PQR) = angle PRS

(3x-29) + (7x-42) = 6x-3

10x-71 = 6x-3

10x-6x = -3+71

4x = 68

x = 68/4

x = 17

angle PRS = 6x-3

angle PRS = 6*17-3

angle PRS = 99

==========================================

Problem 22

Answer: 116

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Explanation:

Refer to the diagram below.

Solve 105+x = 180 to get x = 75

Solve 135+y = 180 to get y = 45

Solve x+y+z = 180 to get z = 60

Solve z+82+p = 180 to get p = 38

Solve p+78+q = 180 to get q = 64

Solve q+r = 180 to get r = 116

==========================================

Problem 23

Answer: B) between 4 and 44 inches

----------

Explanation:

We use a variation of the triangle inequality theorem here.

If p is the missing side length, then

24-20 < p < 24+20

4 < p < 44

So,

4 < XY < 44

The side XY cannot be 4 inches and it cannot be 44 inches either.

==========================================

Problem 24

4 Answers: A, B, C, D

----------

Explanation:

Same idea as problem 23

24-10 < x < 24+10

14 < x < 34

So we'll select values between 14 and 34, excluding each endpoint. Those values are x = 16, 18, 24, 26

In other words, only 12 and 34 are non-answers.

==========================================

Problem 25

Answer: C) 84 degrees

----------

Explanation:

The given exterior angle is 152 degrees

Subtract that from 180 to get the adjacent interior angle 180-152 = 28

Now let's find the missing angle of triangle DEB

D+E+B = 180

28+68+B = 180

96+B = 180

B = 180-96

B = 84

This is the measure of angle DBE

This is also the measure of angle ABC because the two angles are vertical angles.

Vertical angles are always congruent.

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