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3 years ago

Please help me !!!! Will mark brainliest

Mathematics

1 answer:

stich3 [128]3 years ago

3 0

Answer:

The value of x is 108°

Step-by-step explanation:

Given interior angles of parallelogram are:

$\frac{2}{3}x, x, \frac{2}{3}x\ and x$

<u>The sum of interior angles of a parallelogram is 360°.</u>

We will use this information to find the value of x.

So adding up all the angles and putting the sum equal to 360 we get,

$x+\frac{2}{3}x+x+\frac{2}{3}x = 360$

$2x+\frac{2}{3}x+\frac{2}{3}x = 360\\2x + \frac{4}{3}x = 360$

Taking LCM on left side of the equation, as it involves fraction

$\frac{6x+4x}{3} = 360\\\frac{10x}{3} = 360$

Multiplying both sides by 3

$\frac{10x}{3} * 3 = 360 * 3\\10x = 1080$

Dividing both sides by 10

$\frac{10x}{10} = \frac{1080}{10}\\x = 108$

Hence,

The value of x is 108°

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tankabanditka [31]

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5 0

3 years ago

6) Two boats set off from X at the same

lord [1]

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = $\frac{distance}{time}$

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

= 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

= 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

$a^{2}$ = $b^{2}$ + $c^{2}$ - 2bc Cos A