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elena-14-01-66 [18.8K]
3 years ago
6

Why must trapezoids be congruent

Mathematics
1 answer:
fredd [130]3 years ago
5 0
The diagonals of a trapezoid are only congruent (have the same length) if the trapezoid is an isosceles trapezoid.
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A garden has the shape of a right triangle with one leg 4 meters longer than the other. the hypotenuse is 4 meters less than twi
zubka84 [21]
4m. 

You can get this answer by setting the legs equal to x and x+4 and the hypotenuse as 2x-4. Then use the Pythagorean Theorem and the quadratic equation to solve. 
7 0
3 years ago
Roxy is multiplying 1/8 by 4/3
Vera_Pavlovna [14]

Answer:

1/6

Step-by-step explanation:

Make the denominators the same by finding the lcm(least common denominator). The least common demominator would be 24. So multiply both numbers in 1/8 by 3. This would eaqual 3/24. Multiply both numbersin 4/3 by 8. This would equal \frac{3}{24}  *  \frac{32}{24} = \frac{96}{576}. Simplify 96/576 by dividing both numbers by 96.

<u>96</u> ÷ 96 = <u>  1  </u>                                                                                                              576 ÷ 96 = 6 and that becomes 1/6.

6 0
3 years ago
Bonnie purchased a 30 ounce package of chocalte chunk cookies for $2.40.What is the cost per ounce
Sladkaya [172]
.08 cents per ounce, because 2.40 ÷30 =.08
8 0
4 years ago
Use the discriminant to describe the roots of each equation. Then select the best description.
Paha777 [63]

The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).

<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>

Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:

d = b² - 4 · a · c     (1)

There are three possibilities:

  1. d < 0 - <em>conjugated complex</em> roots.
  2. d = 0 - <em>equal real</em> roots (real and rational root).
  3. d > 0 - <em>different real</em> roots (real and irrational root).

If we know that a = 3, b = 7 and c = - 2, then the discriminant is:

d = 7² - 4 · (3) · (- 2)

d = 49 + 24

d = 73

The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).

To learn more on quadratic equations: brainly.com/question/2263981

#SPJ1

7 0
3 years ago
Find an equation for the nth term of the arithmetic sequence. <br><br> -20, -16, -12, -8, .
quester [9]
A n =?
If the arithmetic sequence is:-20, - 16, - 12 , - 8 ...
a 1 = -20,  d = 4 ( a 2 = -20 + 4 = -16,  a 3 = -16+4 = -12,...)       
And the formula for nth term is:
a n = a 1 + d (n -1)
a n = -20 + 4( n -1)      (n=1.2.3...)
8 0
3 years ago
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