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aleksandrvk [35]
2 years ago
13

Write two different congruent statements that indicate the triangles in each pair are congruent( Odd number questions only)

Mathematics
1 answer:
ryzh [129]2 years ago
7 0

Answer:

Step-by-step explanation:

17) HI ≅ UH   ;   GH  ≅  TU     ; GI  ≅ TH

ΔHGI  ≅ ΔUTH                by Side Side Side congruent

∠G  ≅  ∠T   ; GI  ≅  TH  ; ∠GIH  ≅ ∠THU

ΔHGI  ≅ ΔUTH                by Angel Side Angle congruent

19) IJ ≅ KD   ;  IK ≅ KC   ; KJ ≅ CD

ΔIJK ≅ ΔKDC             by Side Side Side congruent

∠J ≅ ∠D    ; IJ ≅ KD ;  ∠I ≅ ∠DKC

ΔIJK ≅ ΔKDC             by Angle Side Angle congruent

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Kaitlin, Tony, and Austin sent a total of 103 text messages over their cell phones during the weekend. Austin sent 4 times as ma
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The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.

<h3>How to write and solve equation?</h3>

let

  • Number of messages Kaitlyn sent = x
  • Number of messages Tony sent = x + 5
  • Number of messages Austin sent = 4(x + 5)
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103 = x + (x + 5) + 4(x + 5)

103 = x + x + 5 + 4x + 20

103 = 6x + 25

103 - 25 = 6x

78 = 6x

x = 78/6

x = 13

Number of messages each sent:

Number of messages Kaitlyn sent = x

= 13 messages

Number of messages Tony sent = x + 5

= 13 + 5

= 18 messages

Number of messages Austin sent = 4(x + 5)

= 4(13 + 5)

= 4(18)

= 72 messages

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Find the equation of a line parallel to −x+5y=1 that contains the point (−1,2)
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Step-by-step explanation:

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Make a table of values for f(x+2) given the graph
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Without using a calculator, determine the number of real zeros of the function
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The number of real zeros of the function f(x) = x3 + 4x2 + x − 6 is 3

<h3>How to determine the number of real zeros?</h3>

The equation of the function is given as:

f(x) = x^3 + 4x^2 + x - 6

Expand the function

f(x) = x^3 + 5x^2 - x^2 + 6x - 5x - 6

Reorder the terms

f(x) = x^3 + 5x^2 + 6x - x^2 - 5x - 6

Factor the expression

f(x) = x(x^2 + 5x + 6) -1(x^2 + 5x + 6)

Factor out x -1

f(x) = (x^2 + 5x + 6)(x -1)

Expand

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Factorize

f(x) = [x(x + 3) + 2(x + 3)](x - 1)

Factor out x + 2

f(x) = (x + 3)(x + 2)(x- 1)

The function has been completely factored and it has 3 linear factors

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