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3 years ago

Find the value of x.

Mathematics

1 answer:

Anna [14]3 years ago

6 0

Answer:

x = 5.

Step-by-step explanation:

ZY = 2*2x = 4x. (Parallel line in a triangle theorem).

XZ = 2 * (4x + 1) = 8x + 2

XY = 2 *(2x + 3) = 4x + 6

So the perimeter 88 = 4x + 8x + 2 + 4x + 6

88 - 8 = 16x

16x = 80

x = 5.

(Sorry but I can't remember the exact name of the theorem).

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If sin=3 by 5 and cos =4 by 5 find tan

Afina-wow [57]

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Step-by-step explanation:

$tan = \frac{sin}{cos }$

=3/5 × 5/4

=15/20

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3 years ago

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ANEK [815]

Answer:

$\approx 11.2\:\mathrm{in}$

Step-by-step explanation:

The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by $2r\pi\cdot \frac{\theta}{360}$ , where $r$ is the radius of the circle and $\theta$ is the angle of the arc.

In this problem, we're given:

$\theta = 40^{\circ},\\r=16$

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3 years ago

Under which condition will two lines not have a common solution

nordsb [41]

Answer:

Each shows two lines that make up a system of equations. If the graphs of the equations intersect, then there is one solution that is true for both equations. If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

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2 years ago

Express the product in simplest form.

Romashka [77]

$\frac{8}{2x+8} * \frac{ x^{2}-16 }{4}$

1. Cross cancel
$\frac{4}{2x+8}* \frac{ x^{2} -16}{1}$

2. Multiply numerators
4*x²-16 = 4x²-64

3. Multiply denominators
2x+8*1 = 2x+8

$\frac{4 x^{2} -64}{2x+8}$

4. Divide
$\frac{4 x^{2} -64}{2x+8} = 2x-8$

5. Simplify
2(x-4)

Answer is 2(x - 4)

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3 years ago