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givi [52]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
3 0

Answer:

  x = 5

Step-by-step explanation:

The sum of the side lengths shown is ...

  (2x) + (3x +2) + (4x +1) = 9x +3

That is the perimeter of the inscribed triangle. That triangle is similar to triangle ABC by a scale factor of 1:2, so the perimeter of ΔABC is ...

  2(9x +3) = 96 = 18x +6

  90 = 18x . . . . subtract 6

  90/18 = x = 5 . . . . . divide by the coefficient of x

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Write the standard form of an equation with p=3 sqrt2, theta= 135°​
Arlecino [84]

Answer:

x - y + 6 = 0

Step-by-step explanation:

In normal form of a straight line, the equation is given by  

x\cos \theta + y\sin \theta = p

where p is the perpendicular distance of the line from the origin and \theta is the angle between the perpendicular line and the positive direction of the x-axis.

Here, in our case p = 3\sqrt{2} and \theta = 135 Degree,

Therefore, the normal form of the straight line equation is  

x \cos 135 + y \sin 135 = 3\sqrt{2}

⇒ x \cos (180 - 45) + y \sin (180 - 45) = 3\sqrt{2}

⇒ - x \cos 45 + y \sin 45 = 3\sqrt{2} {Since, Cos (180 - Ф) = - Cos Ф and Sin (180 - Ф) = Sin Ф}

⇒- \frac{x}{\sqrt{2}} + \frac{y}{\sqrt{2}} = 3\sqrt{2}

⇒ - x + y = 3√2 × √2 = 6

⇒ x - y + 6 = 0  

So, the standard form of the equation is x - y + 6 = 0. (Answer)

7 0
4 years ago
MATH (fill in the blanks).
erastovalidia [21]
What are the options for the fill in the blanks?
3 0
4 years ago
Help me fast!! I need to get a 90 on it
QveST [7]

Answer:

-7/2

Step-by-step explanation:

Slope equals rise (vertical or y axis) over run (horizontal or x axis).  So you need to find two points on this line that cross directly where the grid lines cross.  If you look closely, the line seems to cross directly at ( -6, 3 ) and again at ( -4, -4).  So the rise values (y axis) are 3 and -4 which is a total of 7 units apart.

The run values are -6 and -4 which is a total of 2 units apart.

So your slope with be 7/2 but since it slopes downward to the right, it is a negative slope.

The answer would be negative 7/2

5 0
3 years ago
(1.6x + 3.25) + (0.3x + 0.5)
STatiana [176]

(1.6x + 3.25) + (0.3x + 0.5)

combine like terms

1.6x+.3x +3.25 +.5

Result:

1.9 x + 3.75

7 0
3 years ago
Please help triangle LMN is similar to triangle PQR. Select all angles who’s sine equals 24/25
olchik [2.2K]
I think it’s A and B because on the top where is is 24 is M and the bottom is 25 which is L
8 0
3 years ago
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