All categories

3 years ago

Given that ABCD is a rhombus, what is the value of x?

Mathematics

2 answers:

Fiesta28 [93]3 years ago

4 0

Answer:

Step-by-step explanation:

Diagonals of rhombus are perpendicular to each other

4x - 3 + x + 90 = 180 { angle sum property}

5x = 180 - 90 + 3

5x = 93

x = 93 / 5

x = 18.6

leonid [27]3 years ago

3 0

Answer:

E. x = 18.6.

Step-by-step explanation:

As it is a rhombus the diagonals bisect to 4 angles in the rhombus (which add up to 360).Therefore:

4(4x - 3) + 4x = 360

16x - 12 + 4x = 360

20x = 372

x = 372/20

= 18.6.

You might be interested in

please help! this is for a grade and its overdue!!!!!!!! If the blueprint is drawn on the coordinate plane with vertices (1, 5)

viktelen [127]

Answer:

50 \sqrt[]{2} feet

Step-by-step explanation:

Given the vertices (1, 5) and (11, 15) for the corners labeled with red stars, the diagonal of the square C will be the length of the line joining the two vertices.

Using the Distance Formula:

Since 1 Square Unit = 25 Square Feet

1 Unit =5 feet

Therefore, the length of the diagonal

7 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=9%5C%3A%20%20%5C%3A%20%20%5Cfrac%7B%20%5Csin%28%20%5Ctheta%29%20%7D%7B1%20%2B%20%20%5Ccos%28%2

PIT_PIT [208]

Option (b) is your correct answer.

Step-by-step explanation:

$\large\underline{\sf{Solution-}}$

Given Trigonometric expression is

$\rm :\longmapsto\:\dfrac{sin\theta }{1 + cos\theta }$

So, on rationalizing the denominator, we get

$\rm \: = \: \dfrac{sin\theta }{1 + cos\theta } \times \dfrac{1 - cos\theta }{1 - cos\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ (x + y)(x - y) = {x}^{2} - {y}^{2} \: }}}$

So, using this, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{1 - {cos}^{2}\theta }$

We know,

$\purple{\rm :\longmapsto\:\boxed{\tt{ {sin}^{2}x + {cos}^{2}x = 1}}}$

So, using this identity, we get

$\rm \: = \: \dfrac{sin\theta (1 - cos\theta )}{{sin}^{2}\theta }$

$\rm \: = \: \dfrac{1 - cos\theta }{sin\theta }$

<u>Hence, </u>

$\\ \red{\rm\implies \:\boxed{\tt{ \rm \:\dfrac{sin\theta }{1 + cos\theta } = \: \dfrac{1 - cos\theta }{sin\theta } }}} \\$

3 0

1 year ago

Read 2 more answers

PLz help with math in super confused. Will give u brainliest if u get it right.

asambeis [7]

Answer:

The answer is A

Step-by-step explanation:

The answer is A because if you put all the ages of his patients along with their gender several are bound to overlap so it won't pass the vertical line test

8 0

2 years ago

-7 and a number 12 units to the right of -7

irinina [24]

Just add -7 and 12

-7+12=5

3 0

2 years ago

What is the surface area of a cylinder whose radius is 3 inches and whose height is 10 inches? Round to the nearest tenth.

solmaris [256]

The answer is C. 244.9

8 0

2 years ago

Read 2 more answers