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kirza4 [7]
3 years ago
9

Which of the following correctly shows the length of each radius, the point where the circles intersect, and the equation of the

tangent line at this point?

Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0

Answer:

Length of the radii of the circles → 4 units and 1 unit

Equation of common tangent → x = 4

Step-by-step explanation:

From the figure attached,

Length of radii of each circles are,

Radius of circle S = 4 units

Radius of circle T = 1 unit

Common point where the circles are touching → (4, 1)

Common tangent to these circles is a line perpendicular to x-axis passing through x = 4,

Equation of the tangent will be,

x = 4

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Answer:

The number of red pens is 20.

The number of blue pens is 4.

Step-by-step explanation:

We are given that, the ratio of number of red pens to the number of blue pens is 5 : 1.

∴ Let us assume that the number of red pens be 5<em>x</em> and number of blue pens be <em>x</em>.

Total number of pens in the desk drawer = 24

Now, according to question :

Number of red pens + Number of blue pens = 24

⇒5<em>x</em> + <em>x</em> = 24

⇒6<em>x</em> = 24

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So, number of red pens in the drawer = 5<em>x</em> = 5 × 4 = 20

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3 years ago
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Answer:

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Equation: t = 4 x 12

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2 years ago
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Answer:

a).  x + y + 90° = 180°

b).  x = 67°

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Step-by-step explanation:

The sum of all angles in a triangle is 180°.

One of the angles in the figure is a right angle, or 90°.  Therefore the sum of the three angles in the figure is:

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