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Solnce55 [7]
3 years ago
13

A hierarchy of quadrilaterals is shown. Name the figures that complete the hierarchy. Number the figures in your response to ind

icate where in
the diagram they belong.
Quadrilaterals
four right angles
no
yes
both pairs of
opposite angles
congruent
four congruent sides
yes
yes
no
2
four congruent sides
exactly one pair of
opposite sides parallel
yes
no
yes
no
3
4
congruent diagonals
7
yes
no
5
6
Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

<em>Refer to attached for the diagram. </em>

<u>Here is the answers</u>

  • 1. Square
  • 2. Rectangle
  • 3. Rhombus
  • 4. Parallelogram
  • 5. Isosceles Trapezoid
  • 6. Trapezoid
  • 7. Kite

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Find the x and the area of the shape perimeter is 64.5​
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4 years ago
Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
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a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

3 0
3 years ago
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