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atroni [7]
3 years ago
5

I need help finishing the proof

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

See proof

Step-by-step explanation:

      Statements                  Reasons

1. \overline{AEC} bisects \angle DAB,\ \angle 1\cong \angle 2   Given

2. \angle 3\cong \angle 4                Definition of angle bisector

3. \overline{AE}\cong \overline{AE}                Reflexive property of equality

4. \triangle ABE \cong \triangle ADE               AAS postulate

5. \overline {AB}\cong \overline{AD}             Congruent triangles have congruent corresponding sides

6. \overline{AC}\cong \overline{AC}                Reflexive property of equality

7. \triangle BAC \cong \triangle DAC                   SAS postulate

8. \overline {BC}\cong \overline{CD}             Congruent triangles have congruent corresponding sides

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Solve for X:
galben [10]

Answer:

A. -61/9

Step-by-step explanation:

(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation

14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms

9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56

x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x

4 0
3 years ago
Read 2 more answers
If x-2y=10 and x≠0, what is the value of 2x/y+5
VladimirAG [237]

Answer: 4

Step-by-step explanation:

x - 2y =10

x = 10 + 2y

\frac{2x)}{y + 5}

\frac{2(10+2y)}{y+5}

\frac{20+4y}{y+5}

\frac{4(5+y)}{y+5} ... cancel like terms (y + 5)

= 4

5 0
2 years ago
What is 9/11=?/22 need help with this problem
KengaRu [80]
When you solve proportions, you have to cross multiply.

       9       x
      ---  =  ---         Multiply each numerator by the opposite denominator.
      11      22

(9)(22) = 11x        Then, multiply.

     198 = 11x        Then, divide.

       18 = x

4 0
4 years ago
Mr. yates has an $80.00 budget to purchase a $72.00 pair of sunglasses. If there is a 6% sales tax rate, then how much under bud
Alekssandra [29.7K]

Answer:

$3.68 underbudget

Step-by-step explanation:

72*6%\\72*0.06=4.32\\Tax=4.32\\72+4.32=76.32 \ Total\\80-76.32=3.68

Hope this helped!

6 0
3 years ago
An employee of a store's gift wrapping center is wrapping 8 gifts
Hitman42 [59]
<h3>Part A:</h3>

The area A of a rectangle is A = bh, where b is the base of the rectangle and h is the height. The area of each rectangle with side lengths 1.5 ft and 2 ft is 1.5 × 2 = 3ft2. Since there are two rectangles with these dimensions, the combined area is 2 × 3 = 6 ft2. The area of each rectangle with side lengths 1.5 ft and 2.5 ft is 1.5 × 2.5 = 3.75 ft2. The area of each rectangle with side lengths 2 ft and 2.5 ft is 2 × 2.5 = 5 ft2. Since there are two rectangles of each type, the combined area is 2 × 3.75 + 2 × 5 =17.5 ft2. <u><em>So, the total surface area of the box is 6 ft2+ 17.5 ft2 = 23.5 ft2</em></u>

<u><em></em></u>

<h3>Part B:</h3>

The employee needs to wrap 8 boxes, each with a surface area of 23.5 ft2. So, the combined surface area needing to be wrapped is 8 × 23.5 = 188 ft2. Since there is only 160 square feet of wrapping paper left, the employee will not be able to wrap all of the gifts

6 0
2 years ago
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