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kvv77 [185]
3 years ago
12

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

Mathematics
1 answer:
MrRa [10]3 years ago
7 0

Answer:

i am pretty sure the total surface area is 580

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Given: AB is congruent to CD and BC is congruent to AD Prove: AB ll CD and BC ll AD
kifflom [539]
<h2>Given</h2>

  • A quadrilateral ABCD with opposite pairs of sides being congruent.

<h2>To prove</h2>

  • Opposite sides are parallel.

<h2>Solution</h2>

We'll prove first the triangles formed by diagonal are congruent then we'll prove the angles on either side of diagonal are congruent.

<u>The steps are:</u>

  • Step  ⇒   Statement  ⇒   Reason

=============================================================

  • 1   ⇒  AB ≅ CD and BC ≅ AD     ⇒     Given
  • 2  ⇒  AC = CA                              ⇒    Common side
  • 3  ⇒  ΔABC ≅ ΔCDA                   ⇒    Side-side-side congruence
  • 4  ⇒  ∠BAC ≅ ∠DCA                   ⇒    Corresponding angles of congruent triangles
  • 5  ⇒  ∠BAC and ∠DCA are alternate interior angles  ⇒  Definition of alternate interior angles
  • 6  ⇒  AB║CD                               ⇒   The converse of alternate interior angles theorem
  • 7  ⇒  ∠BCA ≅ ∠DAC                   ⇒   Corresponding angles of congruent triangles
  • 8  ⇒  ∠BCA & ∠DAC are alternate interior angles  ⇒  Definition of alternate interior angles
  • 9  ⇒ BC║AD                                ⇒   The converse of alternate interior angles theorem
4 0
2 years ago
URGENT!!
Dmitry [639]

Answer:

Supplementary angles add to 180.  Let x = the measure of one angle.  The other is three and one half times larger, or 3.5x:

x + 3.5x = 180

Step-by-step explanation:

6 0
3 years ago
Find the 4th term in the sequence with the following definition
VMariaS [17]

Answer:

-37

Step-by-step explanation:

a_{1}=-2\\a_{n}=2a_{n-1}-3\\a_{2}=2a_{1}-3=2(-2)-3=-4-3=-7\\a_{3}=2a_{2}-3=2(-7)-3=-14-3=-17\\a_{4}=2a_{3}-3=2(-17)-3=-34-3=-37

7 0
3 years ago
What is the equation of this graphed line?<br> Enter your answer in slope-intercept form in the box.
vazorg [7]

<u>Answer:</u>

y = -1/3x - 5

<u>Introduction:</u>

The slope intercept form of a line is y = mx + b. Now, let's start out by solving the slope.

<u>Step-by step explanation:</u>

  • => Slope = rise/run = \frac{y_{2} - y_{1} }{x_{2}-x_{1}  }
  • => Slope = \frac{-3- (-7) }{-6-6  }
  • => Slope = \frac{4}{-12}
  • => Slope = \frac{-1}{3}

Since we have found the slope, let's find the y-intercept to create our equation.

  • => y-intercept = -5

<u>Conclusion:</u>

Therefore, our new equation is y = -1/3x - 5

Hoped this helped.

BrainiacUser1357

8 0
3 years ago
Sally begins hiking at an elevation of 224 feet. Then, she descends 131 feet and climbs 67 feet higher than her current position
Deffense [45]

Answer:

-3

Three feet below the initial elevation

Step-by-step explanation:

The initial elevation is 224 feet.

We take descent to be negative and ascent to be positive.

The numerical addition expression is

224+-131+67+-163

We simplify this to obtain:

224-131+67-163=-3

The negative sign means Sally is 3 feet below his initial elevation

5 0
3 years ago
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