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Olin [163]
3 years ago
5

What is the missing reason in the proof? Statement Reason 1. m || n and p is a transversal 1. given 2. ∠2 ≅ ∠3 2. ver. ∠s theore

m 3. m∠2 = m∠3 3. def. of congruent 4. ∠3 ≅ ∠7 4. corr. ∠s theorem 5. m∠3 = m∠7 5. def. of congruent 6. m∠2 = m∠7 6. ? corresponding angles theorem alternate interior angles theorem transitive property subtraction property
Mathematics
1 answer:
Dahasolnce [82]3 years ago
8 0

Answer:

See below for answer.

Step-by-step explanation:

m ∠3 = m∠ 7       If ║ then cor. ∠s are =

m ∠2 = m∠7        Transitive     ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7

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Solve for the variable <br><br> 4 = 7/y
alexandr1967 [171]

Answer: y = 7/4

Step-by-Step Explanation:

=> 4 = 7/y

= 7/y = 4

=> y = 7/4

Therefore, y = 7/4

5 0
2 years ago
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Tina went to a donut shop and bought two glazed donuts, three iced donuts and one filled donut for her family. If sales tax for
slavikrds [6]

Answer:

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Step-by-step explanation:

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4 0
4 years ago
Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region​
yanalaym [24]

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

<u>Concepts:</u>

Area of Square = s²

  • s = side

Area of Triangle = bh/2

  • b = base
  • h = height

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

<u>Solve:</u>

Question # 16

<em>Step One: Find the total area of two squares</em>

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

<em>Step Two: Find the area of the blank triangle</em>

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

<em>Step Three: Subtract the area of the blank triangle from the total area</em>

Total area = 29

Area of Square = 7

29 - 7 = 22

-----------------------------------------------------------

Question # 17

<em>Step One: Find the length of PT</em>

Given:

  • PR = 4 cm
  • RT = 6 cm

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

<em>Step Two: Find the length of S to PT perpendicularly</em>

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Three: Find the area of ΔPST</em>

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Four: Find the length of Q to PT perpendicularly</em>

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Five: Find the area of ΔPQT</em>

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Six: Combine area of two triangles to find the total area</em>

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

6 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Mars2501 [29]

Answer:

  -0.4

Step-by-step explanation:

Since x=4 is not a critical point, you can simply evaluate the function. You can do this in your head.

  (2√4 -6)/(9 -4) = (2·2 -6)/5 = -2/5 = -0.4

7 0
3 years ago
The area of a rectangle is 30m11n5 square units. If the length of the rectangle is 6m^n2 units, how many units wide is
wlad13 [49]

Given:

The area of a rectangle = 30m^{11}n^{5}

Length of the rectangle = 6m^4n^2

To find:

The width of the rectangle.

Solution:

Area of a rectangle is:

A=l\times w

Where, l is the length and w is the width of the rectangle.

Divide both sides by l.

\dfrac{A}{l}=w

w=\dfrac{A}{l}

On substituting the given values, we get

w=\dfrac{30m^{11}n^{5}}{6m^4n^2}

w=5m^{11-4}n^{5-2}           [\because \dfrac{a^m}{a^n}=a^{m-n}]

w=5m^{7}n^{3}

Therefore, the correct option is A.

5 0
3 years ago
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