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Kazeer [188]
1 year ago
8

In the diagram below AFB is congruent to EFD if EFD = 5x + 6, DFC = 19x - 15, and EFC = 17x + 19, find AFE

Mathematics
1 answer:
yanalaym [24]1 year ago
7 0

The angle m∠AFE is 128 degrees.

<h3>How to find angles?</h3>

∠AFB ≅ ∠EFD

∠EFD = 5x + 6

m∠DFC = (19x - 15)°

m∠EFC = (17x + 19)°

m∠AFE = ?

m∠AFB + m ∠EFD + m∠AFE = 180

Therefore,

5x + 6 + 5x + 6 + m∠AFE = 180

5x + 5x + 6 + 6 + m∠AFE = 180

10x + 12 + m∠AFE = 180

10x + m∠AFE = 180 - 12

10x + m∠AFE  = 168

m∠AFE = 168 - 10x

m∠EFC =  m ∠EFD + m∠DFC

17x + 19 = 5x + 6 + 19x - 15

17x - 5x - 19x = 6 - 15 - 19

-7x = - 28

x = 28 / 7

x = 4

Therefore,

m∠AFE = 168 - 10x

m∠AFE = 168 - 10(4)

m∠AFE = 168 - 40

m∠AFE = 128°

Therefore, the angle m∠AFE = 128°

learn more on angles here: brainly.com/question/13212279

#SPJ1

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8. Derek was observing the change in water levels in his fish pond. The table below show the change in water levels of the fish
Alla [95]

Answer:

H. 2 3/4

Step-by-step explanation:

  • DATE                         >> WATER LEVEL CHANGE (inches)
  • August 25                  >>  -0.75
  • September 8              >>  -1 3/ 8
  • September 22            >>  2.5
  • October 6                    >>  -1/2
  • October 20                 >>  1 7/8

<u>Total change:</u>

  • 1 7/8 - (-0.75) =
  • 1+ 7/8 + 3/4 =
  • 1 + 7/8 + 6/8 =
  • 1 + 13/8 =
  • 1+ 1 5/8 =
  • 2 5/8

The closest answer option is H. 2 3/4

8 0
3 years ago
Write the equation of a line that is parallel to y = 7x +13 that passes through the point (28, 8).
navik [9.2K]

Answer:

y=7x-188

Step-by-step explanation:

We know that this line must have a slope of 7, because this line is parallel to y=7x+13

We must use the point slope formula: y-y_{1}= m(x-x_{1})

Next, we will plug in the point (28,8) for y_{1} and x_{1}, and 7 in for m

y-8=7(x-28)

Solve the equation, first by distributing the 7

y-8=7x-196

Add the 8 over

y=7x-188

7 0
3 years ago
A public health department wants to determine the rate that parents of teen boys are choosing to vaccinate their sons for HPV wi
viktelen [127]

Answer:

The correct option is  B

Step-by-step explanation:

From the question we are told that

   The  sample size is  n  =  64

    The  proportion that choose to vaccinate the teen boys is  \r p =  0.12

considering the first statement

The 95% confidence interval is 12% ± the margin of error*standard deviation is  false because

The 95% confidence interval is is  %12 ± the margin of error

considering the second statement

The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem

   np =  64 * 0.12 =  7.68

and this value is  less than 10  hence the confidence interval should not be calculated

considering the third statement

A 99% confidence interval will be smaller than the 90% confidence interval is false

  This is because as the confidence level increase (for example  from 90% to  99%) the margin of error increase which increases the confidence interval  

 

5 0
2 years ago
Triangle DEF is congruent to TriangleGHJ by the SSS theorem. Which rigid transformation is required to map TriangleDEF onto Tria
inn [45]

Answer:

Rotation

Step-by-step explanation:

Given:  

Triangle DEF is congruent to Triangle GHJ by the SSS theorem

To find: transformation required to map Triangle DEF onto Triangle GHJ

Solution:

Two figures are said to be congruent if they overlap each other.

Two polygons are said to be congruent if they have same size and shape.

A rotation is a transformation that turns a figure about  the center of rotation.

Rotation transformation is required to map Triangle DEF onto Triangle GHJ

7 0
3 years ago
Read 2 more answers
How to you do this problem? ​
professor190 [17]

Answer:

Step-by-step explanation:

it is adding or subtrating

5 0
3 years ago
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