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2 years ago

Which quadrilateral is a trapezoid?

Mathematics

1 answer:

Alex_Xolod [135]2 years ago

4 0

The quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.

<h3>What is a trapezoid?</h3>

The figure with the four sides and the sum of the angles with 360 degrees are called a quadrilateral.

A trapezoid is a quadrilateral because it has four sides and the sum of the angles of all the sides is 360 degrees. The quadrilateral is a trapezoid because it has two sides parallel and the other two sides are intersecting.

Therefore the quadrilateral with two sides parallel and the other two sides intersecting is a trapezoid.

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The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of

ycow [4]

The length of the longer base is 41 ft.

<u><em>Explanation</em></u>

Lets assume, length of one base is $x$ ft.

As, another base is 19 less than five times the length of this base, so the length of another base $= (5x- 19) ft.$

The trapezoid has a height of 18 ft and area of 477 ft²

Formula for Area of trapezoid, $A=\frac{1}{2} (a+b)*h$ , where $a, b$ = Two bases of trapezoid and $h$ = height of the trapezoid.

Given in the question: $A= 477$ and $h= 18$

We have also two bases as: $a= x$ and $b= 5x-19$

So, according to the above formula...

$A= \frac{1}{2}(a+b)h\\\\ 477=\frac{1}{2}(x+5x-19)*18\\\\ 477=9(6x-19)\\\\477= 54x-171\\\\477+171=54x\\\\648=54x\\\\x=\frac{648}{54} = 12$

So, length of one base is $12 ft$ and another base $=(5*12-19)ft =(60-19)ft = 41 ft$

That means, the length of the longer base is 41 ft.

8 0

3 years ago

A. When solving the system of linear equations 6x+y = 1 and 7x+2y = -3 with substitution, it is easiest to first solve the equat

nalin [4]

Answer:

6x + y = 1

y = 1 - 6x

7x + 2(1 - 6x) = -3 substitute 1 - 6x in for y

7x + 2 - 12x = -3 combine like terms

2 - 5x = -3 subtract 2 from both sides

-5x = -5 divide by -5

x = 1

3 0

3 years ago

Y=x²+2x–5<br> vertex form

enyata [817]

Answer:

y=(x+1)^2-6

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

2+2 equals what any answer is ok

Cloud [144]

4, could you mark brainliest?

3 0

3 years ago

Brenna ran a total of 8 miles over the course of 4 track practices. How many track practices would it take for Brenna to run 16

solong [7]

Answer:

8 in total

Step-by-step explanation:

8 miles in 4 track practices, that's 2 miles every practice, you just multiply or add. She needs 4 more track practices because 8 x 2 is 16, which is how many miles she runs every practice. If you put 4 more practices it would be 16 miles and 8 practices in total. Sorry if this didn't make sense or confused you, I'm not the best at explaining but you're answer for the total amount of practices is 8.

6 0

3 years ago