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WITCHER [35]
2 years ago
9

HELP ASAP!!!

Mathematics
1 answer:
tamaranim1 [39]2 years ago
4 0

The above question is a mathematical proof of the relationship between Lines and angles related to a Rhombus. See the proof below.

<h3>What is a Rhombus?</h3>

A Rhombus is a parallelogram with four sides (that is a quadrilateral). It's sides however are all of equal length.

<h3>What is the above proof?</h3>

  • ∠DEC ≅ ∠BFC  Reason = All Right Angles with Equal dimensions are congruent.
  • ∠C ≅ ∠C  Reason = It is the same angle for the two Right angles above which are congruent, hence Reflexive Property.
  • Δ DEC ≅ Δ BFC  Reason = Angle Angle Side. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
  • \overline {DC}  ≅ \overline {BC}  Reason = The corresponding parts of congruent triangles are congruent. Also, it is a parallelogram with all congruent sides.
  • ABCD is a Rhombus Reason = Its sides are all congruent.

Learn more about Rhombus at;
brainly.com/question/20627264
#SPJ1

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Round this number to two significant figures. 72.8 <br><br> 1. 72<br> 2. 73 <br> 3. 73.0 <br> 4. 74
marishachu [46]
The answer is 73 because 8 is more than 5 so it rounds up to be 73
8 0
4 years ago
The volume of a cube is 8073 cm3.<br> Work out an estimate for its surface area
Gemiola [76]

Answer:

2414.42 cm^2

Step-by-step explanation:

volume = base x height

and we know that a cube will always have the same length for any side so volume is basically length^3

volume = length^3

8073 = x^3

x = \sqrt[3]{8073}

use a calculator and you get that x = 20.06 cm

Surface area(SA) = 6a^2 (a is area)

a = x^2

so SA = 6(20.06)^2 = 2414.4216 ≈ 2414.42 cm^2

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3 years ago
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What is the solar system?
navik [9.2K]
The solar system is the gravitational bound system comprising the sun and the objects that orbit it.
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Optimization. A rectangle is to have an area of 32 square cms. Find its dimensions so that
arsen [322]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

xy = 32 makes y = 32/x z² = (32/x)² + (x/2)²

<span>Isolate z
</span>z = 32/x + x/2 

Find dz/dx

fr(z) = (x² - 64)/ (2x²)

<span>Set z' = 0, algebraically solving for x having
</span>x +- 18

<span>Since you cannot have a dimension of -8, the only answer for x is 8.
</span>
<span>Go back to the original area equation; 32 = xy and plug in x making
</span><span>32 = 8y
</span><span>y = 4</span>
6 0
4 years ago
Please help explain how to solve problem 16?
Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
                               x = -1/4

place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
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