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2 years ago

Which statement is used to prove that quadrilateral abcd is a parallelogram

Mathematics

1 answer:

gizmo_the_mogwai [7]2 years ago

5 0

Answer:

Opposite sides must be congruent.

Step-by-step explanation:

Given is a picture of a quadrilateal ABCD

We have to prove that this is a parallelogram.

Recall the properties of parallelogram as

i) diagonals bisect each other

ii) opposite sides parallel

iii) opposite sides congruent

or iv) one pair of opposite sides equal and parallel

We have hence to get opposite sides congruent

So last option is right

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6.Angle 30degrees + x is equal to 180 degrees. Find x

Harrizon [31]

The answer is 150 because 30+150=180

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2 years ago

Four times the sum of 8 and some number is 4. What is the number?

Lunna [17]

Answer:

$\Huge \boxed{\mathrm{-7}}$

$\rule[225]{225}{2}$

Step-by-step explanation:

Let the number be x.

$4(x+8)=4$

Dividing both sides by 4,

$x+8=1$

Subtracting 8 from both sides,

$x=-7$

The number is -7.

$\rule[225]{225}{2}$

3 0

3 years ago

Read 2 more answers

Charlotte drove 472 miles in 10 hours. On average, how fast did she drive in miles per

Zanzabum

Answer:

47.2 miles per hour

Step-by-step explanation:

472 miles/ 10 hours= 47.2

4 0

3 years ago

Read 2 more answers

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second. Wh

leonid [27]

Answer:

The maximum height of the particle is 100 ft

A is correct

Step-by-step explanation:

A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.

The standard equation of parabolic projectile.

$h(t)=-16t^2+v_0t+h_0$

where,

$v_0=16\ ft/s$

$h_0=96\ ft$

$h(t)=-16t^2+16t+96$

So, we get the parabolic equation of path.

The maximum value at vertex.

$t=-\dfrac{b}{2a}$

$t=-\dfrac{16}{-32}=\dfrac{1}{2}$

Maximum at t=0.5

$h(0.5)=-16(0.5)^2+16(0.5)+96$

$h(0.5)=100$

Hence, The maximum height of the particle is 100 ft

4 0

3 years ago

Read 2 more answers

What is the sum of the angles 'a' and 'b' from the diagram below.

VikaD [51]

Answer:

90+ 135= 225

Step-by-step explanation:

a can be found with formula (n-2)×180/n, where n is number of sides

a= 135

b=90

3 0

2 years ago