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quester [9]
4 years ago
11

An isosceles trapezoid is a quadrilateral with two congruent legs, a pair of parallel bases, and congruent base angles. Prove th

e diagonals of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.
Mathematics
1 answer:
seraphim [82]4 years ago
3 0

Answer:

The answer is below

Step-by-step explanation:

We must first define the concepts a little:

We have that when the sides are congruent that is to say that they have the same direction and the same size and also the two opposite sides are parallel, the angles will be the same.

Now, in an isosceles triangle, two angles are congruent, because their two sides are congruent.

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A surveyor starts at the southeast corner of a lot and
elena-s [515]

Find the difference vertically( North and South) and the difference horizontally ( East and West)

Then use  the Pythagorean Theorem.

600 North - 200 South = 400 m

400 West - 100 East = 300 m

Now using the Pythagorean Theorem;

400^2 + 300^2 = total displacement^2

Total displacement^2 = 160,000 + 90,000

Total displacement^2 = 250,000

Total displacement = √250,000

Total displacement = 500 m

7 0
3 years ago
What is the exact solution for the equation
Nostrana [21]

Answer:

Option C is correct.

Exact solution of  2^{x+2} = 5^{2x} is, \frac{2\ln 2}{2\ln 5 - \ln 2}

Step-by-step explanation:

Given the equation: 2^{x+2} = 5^{2x}

Using logarithmic rules:

  • a^x=b^y ⇒ x \ln a =y \ln b
  • \ln x^a = a\ln x

Given: 2^{x+2} = 5^{2x}

Taking logarithmic both sides:

\ln 2^{x+2} = \ln 5^{2x}

By logarithmic rules;

(x+2) \ln 2 = (2x) \ln 5

Using distributive property i.e a\cdot (b+c) = a\cdot b + a\cdot c

x \ln 2 +2 \ln 2 = 2x \ln 5

Subtract x \ln 2 from both sides we get;

x \ln 2 +2 \ln 2 - x \ln 2= 2x \ln 5 - x \ln 2

Simplify:

2 \ln 2= 2x \ln 5 - x \ln 2

or

2 \ln 2= x (2\ln 5 - \ln 2)

Divide both sides by (2\ln 5 - \ln 2) we get;

\frac{2\ln 2}{2\ln 5 - \ln 2} = x

Therefore, the exact solution of the given equation is \frac{2\ln 2}{2\ln 5 - \ln 2}


7 0
3 years ago
A circular picture is 8 inches in diameter.
tino4ka555 [31]
For number one I would say c or b for part b I would say it would be b or d but I could be wrong I am sorry if I am
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3 years ago
Pumpkin patch: Suppose we plant pumpkins in a garden where half of the plants are shaded. Then, to test a new fertilizer, we fer
VladimirAG [237]

Answer:

B. Fertilizer.

Step-by-step explanation:

In this experiment, you actually failed to include the fertilizer. This is because you are only fertilizing the pumpkins in the sun and not the shade. Therefore, you really do not know if the pumpkins that grew larger and prettier did so because of the fertilizer or the sun. What you should have done was either fertilized all pumpkins, none of the pumpkins, or half of the ones in the sun and half of the ones in the shade. That way you can correctly isolate the effect of the fertilizer on the pumpkins growth.

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3 years ago
Write the fraction as a,sum of fractions three differnt way
Dimas [21]
Easy write as a mixed number, improper fraction, then decimal.
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3 years ago
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