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2 years ago

From this diagram, select the

Mathematics

1 answer:

AURORKA [14]2 years ago

5 0

O is parallel to q

let's take the angle opposite to angle 4 is alpha

angle 4 = angle alpha ( vertically opposite angles)

angle alpha = angle 3 ( as angle 4 = angle 3).

hence o is parallel to q as both the angles are equal

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How do you write 652% as a fraction, mixed number, or whole number?

scoray [572]

652 whole number :)

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2 years ago

1. The sum of the real numbers x and y is 15. Their

Brut [27]

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

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2 years ago

Please look at the picture and answer it thank you.

ElenaW [278]

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

Thus, 23 + 5x - 18 + 90 = 180.

Step 1: Simplify both sides of the equation.

$(5x)+(23+90-18)=180$
$5x+95=180$

Step 2: Subtract 95 from both sides.

$5x+95-95=180-95$
$5x=85$

Step 3: Divide both sides by 5.

$5x/5=85/5$
$x=17$

Step 4: Check if solution is correct.

$(5*17-18)+23+90=180$
$67+23+90=180$
$180=180$

Thus, x = 17.

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2 years ago

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goblinko [34]

Answer:

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Step-by-step explanation:

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3 years ago

The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are increasing at a rate of

Lunna [17]

Answer:

Change in area=24 $\pi$ -48

Step-by-step explanation:

Let s will be the side of square and r will be the radius of circle.

Then two given conditions are

1)dr/dt=2 m/s

2)ds/dt=1 m/s

Area enclosed=(Area of square)-(Area of circle)

Area of square= $s^{2}$

Area of circle= $\pi r^{2}$

Area enclosed= $(\pi r^{2})-s^{2}$

dA/dt=2 $\pi$ r(dr/dt)-2s(ds/dt)

At s=24,and r=6

dA/dt=2( $\pi$ )(6)(2)-2(24)(1)

Change in area=24 $\pi$ -48

6 0

2 years ago