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Neko [114]
3 years ago
13

PLEASE HELP WITH MATH, PROOFS QUESTION, GIVING BRAINLIEST

Mathematics
1 answer:
vovikov84 [41]3 years ago
6 0
The Corresponding Angles Postulate states that when parallel lines cross a third line, the angles created are congruent. So the first blank should be BDE=BAC and BED=BCA.

Now we know that the triangles BDE and BAC have two sets of congruent angles. Therefore, the second blank should be AA Similarity Postulate.

Finally, the last blank is Segment Addition Postulate which states that if a point Y is on segment XZ, then XY + YZ = XZ.


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The total change is position is that they loss 9 yards
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3 years ago
2) Jennifer is considering taking out a loan with a principal of
frozen [14]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total value of the loan at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed

Considering Bank F's offer,

From the information given,

P = $16200

r = 5.7% = 5.7/100 = 0.057

n = 12 because it was compounded 12 times in a year.

t = 8 years

Therefore,

A = 16200(1 + 0.057/12)^12 × 8

A = 16200(1.00475)^96

A = $25531.2

Considering Bank G's offer,

From the information given,

P = $16200

r = 6.2% = 6.2/100 = 0.062

n = 12 because it was compounded 12 times in a year.

t = 7 years

Therefore,

A = 16200(1 + 0.062/12)^12 × 7

A = 16200(1.00517)^84

A = $24980.4

Bank G's offer is better because she would pay a lower amount of interest in total

8 0
3 years ago
For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you
zzz [600]

Answer:

  • x = 7
  • y = 97°
  • z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

__

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

  y = 180°-83° = 97°

__

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

  (7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

  10x +27 = 97 . . . . . . . collect terms

  10x = 70 . . . . . . . . subtract 27

 x = 7 . . . . . . . . divide by 10

__

The side marked Z is congruent to the opposite parallel side, so ...

  z = 19

__

The missing measures are ...

  • x = 7
  • y = 97°
  • z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

  (7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0
3 years ago
Please help me with the i-ready
inysia [295]

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: Graph 3

Explanation: Only one that satisfies both patterns

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

4 0
3 years ago
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2/3 is the answer. Try not to overthink these answers because they’re usually quite simple in the end. :)
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