Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

Mathematics

1 answer:

Komok [63]3 years ago

3 0

Answer:

im confused

Step-by-step explanation:

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svlad2 [7]

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How many cubes with side lengths of 1/4 does it take to fill the prism?

SCORPION-xisa [38]

Answer:

$\large\boxed{224\ cubes}$

Step-by-step explanation:

$\bold{METHOD\ 1}\\\\\text{Calculate the volume of a prism:}\\\\V_{p}=(2)\left(\dfrac{7}{4}\right)(1)=3.5\ cm^3\\\\\text{Calculate the volume of a cube:}\\\\V_c=\left(\dfrac{1}{4}\right)^3=\dfrac{1}{64}\ cm^3\\\\\text{Calculate how many times the volume of the prism is greater}\\\text{than the volume of the cube:}\\\\\dfrac{V_p}{V_c}=\dfrac{3.5}{\frac{1}{64}}=3.5\cdot64=224$

$\bold{METHOD\ 2}\\\\2cm:\dfrac{1}{4}cm=2\cdot4=8\\\\\dfrac{7}{4}cm:\dfrac{1}{4}cm=\dfrac{7}{4}\cdot\dfrac{4}{1}=7\\\\1cm:\dfrac{1}{4}cm=1\cdot4=4\\\\8\cdot7\cdot4=224\ (cubes)$

4 0

4 years ago

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

ivann1987 [24]

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20$