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2 years ago

(1) Find the value of x in the figure below. Show all steps.( left picture)

Mathematics

1 answer:

uranmaximum [27]2 years ago

6 0

This is the concept of geometry, given that the angle 52 and (2x) have been subtended by a circle, then:
2x=2(52)
2x=104
solving for x we get:
x=104/2
x=52
the answer is x=52°

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Leni [432]

Answer:

y = 6/7

Step-by-step explanation:

The equation given is:

-3 = 7(y - 9/7)

To solve this, we will expand the bracket and afterwards, collect like terms:

-3 = (7*y) - (9/7 * 7)

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2 years ago

Find the measure of an angle whose supplement is six times its complement. Hint: The supplement and complement of an angle are (

sveticcg [70]

Let us translate the statements in the problem to mathematics equations

Let the angle is x degree

So its supplement is

$180^{\circ}-x$

And its complement is

$90^{\circ}-x$

Since the supplement is 6 times its complement, so Multiply the complement by 6 and equate the answer by the supplement

$180-x=6(90-x)$

Let us simplify the right side

$180\text{ - x = 6(90) - 6(x)}$ $180\text{ - x = 540 - 6x}$

Now let us solve the equation to find x

At first, add 6x to both sides to put x in the left side

$\begin{gathered} 180\text{ - x + 6x = 540 - 6x + 6x} \\ 180\text{ + 5x = 540} \end{gathered}$

Now subtract 180 from both sides to put the number in the right side

$\begin{gathered} 180\text{ - 180 + 5x = 540 - 180} \\ 5x\text{ = 360} \end{gathered}$

Divide both sides by 5 to get x

$\begin{gathered} \frac{5x}{5}=\frac{360}{5} \\ x=72^{\circ} \end{gathered}$

So the measure of the angle is 72 degrees

You can check the answer

180 - 72 = 108

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18 * 6 = 108

So the supplement of 72 is six times its complement

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5 months ago