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3 years ago

8

How to prove a quadrilateral is a trapezoid but not a parrallelogram

1 answer:

elena55 [62]3 years ago

5 0

To prove a quadrilateral<span> is a </span>parallelogram<span>, you must use one of these five ways. </span>Prove that<span> both pairs of opposite sides </span>are<span> parallel. </span>Prove that<span> both pairs of opposite sides </span>are<span> congruent.</span>Prove that<span> one pair of opposite sides is both congruent </span>and<span> parallel. </span>Prove that<span> the diagonals bisect each other.</span>

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Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

natima [27]

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

6 0

3 years ago

What is 11/15= 8/15-w

victus00 [196]

Answer: w= 1/5

Step-by-step explanation:

11/15=8/15 -w

-W= 8/15 -11/15

-w= 8-11/15 =-3/15

-w=-3/15

w=3/15= 1/5

4 0

3 years ago

Simplify the number into simplest radical form. Use the factor tree to help determine the factors. StartRoot 96 Endroot StartRoo

NikAS [45]

Answer:

$[tex]4608\sqrt{3}$ [/tex]

Step-by-step explanation:

1. $\sqrt{96} *\sqrt{6}* 2*\sqrt{6}*4 *\sqrt{6} *4*\sqrt{3}$

2. $\sqrt{2^{5} *3} \sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$ <em>factoring 96</em>

<em>since $\sqrt{2^{5}*3 } = \sqrt{2^{5} } \sqrt{3}$ </em>

3. $\sqrt{2^{5} } \sqrt{3}\sqrt{6} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>using exponent rule - $(a^{b}) ^{c} = a^{bc}$ </em>

<em> $\sqrt{2^{5} } = 2^{5/2}$ </em>

4. $2^{5/2}\sqrt{3}\sqrt{2*3} *2\sqrt{6}*4\sqrt{6}*4\sqrt{3}$

<em>doing some simple simplification and $4=2^{2}$ and 6=2*3</em>

5. $2^{5/2} \sqrt{3} \sqrt{2} \sqrt{3} *2\sqrt{2} \sqrt{3} *2^{2}\sqrt{2} \sqrt{3}*4\sqrt{3}$

<em>collecting the roots on one side and applying exponent rule</em>

6. $\sqrt{3} \sqrt{3}\sqrt{3} \sqrt{3}\sqrt{2} \sqrt{2}\sqrt{2} *2^{5/2+1+2+2} \sqrt{3}$

<em>Applying exponents rule on all $\sqrt{3}$ and $\sqrt{2}$ </em>

<em>7. $2^{1/2+1/2+1/2} *2^{5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$ </em>

<em>combining all powers of 2</em>

8. $2^{1/2+1/2+1/2+5/2+1+2+2}*3^{1/2+1/2+1/2+1/2+1/2}$

<em>Simplifying</em>

9. $2^{9} *3^{2}\sqrt{3}$

10. $512*9\sqrt{3}$

11. $4608\sqrt{3}$

3 0

3 years ago

Read 2 more answers

Hosting a breakfast brunch for 25 people, you plan to serve scrambled eggs. The grocery store sells eggs in cartons, and each ca

ratelena [41]

You need 7 cartons, 4•7=28 so you’ll be sure to have enough:)

3 0

3 years ago

Read 2 more answers

Select all of the equations that are true.

ValentinkaMS [17]

Answer:

none

823÷418=2

1112÷834=1.333333333

8 0

2 years ago