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2 years ago

What is the value of x? The figure is not drawn to scale. Show work

Mathematics

1 answer:

Alecsey [184]2 years ago

8 0

Answer:

x = 21.

Step-by-step explanation:

AS there are parallel lines:

4/12 = 7/x

4x = 84

x = 84/4 = 21.

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What is the least common denominator of the rational expressions below?

Lyrx [107]

Answer:

B.(x-6)

Step-by-step explanation:

12/(x^2 - 11x+30) - 43/(x^2-6x)

12/((x - 5) (x - 6)) - 43/x(x-6) [Factoring the denominator]

Both have x-6 common in the denominator,

4 0

2 years ago

Cos90degrees cos30 degrees + sec-squared45degrees sin30degrees - cos270degrees sin180degrees

yawa3891 [41]

Step-by-step explanation:

$\cos 90 \cos 30 + \sec^2 45 \sin 30 - \cos 270 \sin 180$

But we know that

$\cos 90 = \cos 270 = \sin 180 = 0$

and

$\sin 30 = \dfrac{\sqrt{3}}{2} \:\:\text{and}\:\: \sec 45 = \sqrt{2}$

so this leaves us with just

$\sec^2 45 \sin 30 = (\sqrt{2})^2 \left(\dfrac{\sqrt{3}}{2} \right)= \sqrt{3}$

6 0

3 years ago

Plz help! I will make you the brainliest! Thanks!

Andrews [41]

So to start you will need to divide by -5 then -5 divided by -5 cancelle

4 0

3 years ago

Read 2 more answers

If two sides of a triangle are 10 units and 13 units,a possible third side for the could be?

IrinaK [193]

Pythagorean theorem:

a^2+b^2=c^2

substitute:

10^2+13^2=c^2

simplify:

100+169=c^2

simplify:

269=c^2

take the square root:

c=16.4

The answer is 16.4

5 0

3 years ago

In the diagram below, the circle has a radius of 25 inches. the area of the unshaded is 500pi in^2Determine and state the degree

Dmitriy789 [7]

$72^{\circ}$

1) In this question, we are going to make use of the formula for the area of that sector, to find the central angle.

2) So, let's write it out an expression involving the area of a circle, the unshaded area, and the shaded one and then plug into that the given data:

$\begin{gathered} A=\frac{\alpha}{360^{\circ}}\times\pi r^2 \\ A_{Unshaded}+A_{shaded}=A_{Circle} \\ 500\pi+\frac{\alpha}{360}\times\pi r^2=\pi r^2 \\ \\ 500\pi+\frac{α}{360}\pi25^2=25^2\pi \\ \\ 500\pi+\frac{125\piα}{72}=625\pi \\ \\ 500\pi +\frac{125\pi α}{72}-500\pi =625\pi -500\pi \\ \\ \frac{125\pi α}{72}=125\pi \\ \\ \frac{72\times \:125\pi α}{72}=72\times \:125\pi \\ \\ \frac{125\pi α}{125\pi }=\frac{9000\pi }{125\pi } \\ \\ α=72^{\circ} \\ \\ \end{gathered}$

Thus, the centra angle of that shaded area is 72º

6 0

1 year ago