All categories

3 years ago

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

Mathematics

2 answers:

3241004551 [841]3 years ago

8 0

5x - 18 + x = 90

6x = 108

x = 18 degrees

Irina-Kira [14]3 years ago

5 0

Answer:

Step-by-step explanation:

Given : ABCD is a rhombus and ∠DBC = (5x - 18)°

Let AC and BD intersect each other at O

Now, A rhombus is a parallelogram with opposite sides equal.

⇒ AD ║ BC and AB ║ DC

⇒ ∠CAD = ∠BCA ( Alternate angles are equal)

∴ ∠CAD = ∠BCA = x

Also the diagonals of a rhombus bisect each other at right angles.

⇒ ∠BOC = 90°

Now, in ΔBOC, Using angle sum property of the triangle

∠OBC + ∠BOC + ∠OCB = 180°

⇒ 5x - 18 + 90 + x = 180

⇒ 6x + 72 = 180

⇒ 6x = 108

⇒ x = 18

Therefore, Option D. 18 is correct

You might be interested in

Write "x is less than or equal to zero" three different ways.

garik1379 [7]

The expression "x is less than or equal to zero" can be written in several forms; some examples, however, could be:

x ≤ 0
0 ≥ x
(You could substitute any number in place of 3 for the below)
3 - 3 ≥ x

3 0

3 years ago

Can someone help me please ( 52% is incorrect)

madam [21]

Answer:

78 is the probability of spinning

5 0

2 years ago

I don’t understand this can someone help it’s a practice test please show steps.

fomenos

Using the sinusoidal function, it is found that the temperature will be below 0ºC between May and August.

<h3>What is a Sinusoidal function?</h3>

A sinusoidal function is a function that depends on a trigonometric function, having peaks according to the period and amplitude given by this function.

The function for the average monthly temperature, in m months after January, is given by:

$T(m) = 10\cos{\left(\frac{\pi}{6}\right)m} + 5$

Working with elementary angles, we have that:

$m = 10, T(0) = 10\cos{0} + 5 = 15$

$m = 3, T(3) = 10\cos{\left(\frac{\pi}{2}\right)} + 5 = 5$

$m = 6, T(3) = 10\cos{\pi} + 5 = -5$

$m = 9, T(3) = 10\cos{\left(\frac{3\pi}{2}\right)} + 5 = 5$

$m = 12, T(3) = 10\cos{2\pi} + 5 = 5$

From this, we have that it becomes negative after March, and positive before September, removing the middle two options.

Now, we have to test for April and May, that is, m = 4 and m = 5, hence:

$m = 4, T(4) = 10\cos{\left(\frac{2\pi}{3}\right)} + 5 = 0$

$m = 5, T(5) = 10\cos{\left(\frac{5\pi}{6}\right)} + 5 = -3.66$

Negative only in May, hence the temperature will be below 0ºC between May and August.

To learn more about sinusoidal function, you can take a look at brainly.com/question/18055768

7 0

2 years ago

During a storm, the distance in feet between the lightning and your location was represented by f(x) = 1,200x, where x is the nu

Gnom [1K]

Answer:4800'

Step-by-step explanation:

It is 4800' because x = the number of seconds between the lightning and thunder and 1,200 is in feet. so, if there is four seconds between the time of the lightning and thunder then you can use the equation given f(x) or 1,200(x) to solve it. to do this you supplement the x with 4 which gives you 1,200(4) or the same as 1,200 · 4 = 4800ft.

5 0

3 years ago

40 POINTS! IF YOU ANSWER CORRECTLY AND BRAINLIEST

tamaranim1 [39]

Answer:

2. Pasture Farm : 2 cows for every 9 chickens & 4. C & C Farm: 3 cows for

every 8 chickens.

* Please let me know if this helped you or tell me if one of my answers are wrong .

3 0

3 years ago