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VikaD [51]
3 years ago
5

Determine if line AB is tangent to the circle. Type

Mathematics
1 answer:
adoni [48]3 years ago
6 0

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

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Please help! need the answer
san4es73 [151]

Answer:

Each base angle is 81°

Step-by-step explanation:

A pennant is in the shape of an isosceles triangle and the vertex angle is 18°.

An iscosceles triangle has two equal sides and two equal angles.

So assuming the base angles measure b° each;

b° + b° + 18° = 180° (angles in a triangle add up to 180°)

2b° = 180° - 18° = 162°

b = 162° ÷ 2 = 81°

So each base angle is 81°

6 0
3 years ago
-2+4(-x+4)=10 using distributive property and collecting like terms
stich3 [128]

Answer:

<h2>x = 1</h2>

Step-by-step explanation:

-2+4(-x+4)=10\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\-2+(4)(-x)+(4)(4)=10\\\\-2-4x+16=10\qquad\text{combine like terms}\\\\-4x+(-2+16)=10\\\\-4x+14=10\qquad\text{subtract 14 from both sides}\\\\-4x+14-14=10-14\\\\-4x=-4\qquad\text{divide both sides by (-4)}\\\\\dfrac{-4x}{-4}=\dfrac{-4}{-4}\\\\x=1

4 0
3 years ago
A company makes candles in the shape of a right cone. The lateral surface of each candle is covered with
julia-pushkina [17]

Answer:

The amount of paper needed = 363.3 in²

Total amount of paper and plastic needed = 564.3 in

Step-by-step explanation:

As the diagram isn't given.

Consider a right cone shown in the ATTACHMENT.

where

r = 8 in

h = 12 in

First find the value of hypotenuse s by using Pythagoras theorem

<h3>Find Lateral Area:</h3>

The amount of paper needed to cover the candle is lateral area, which is given by:

L=\pi\cdot{r}\cdot{s}\\L =\pi\cdot8\cdot14.422\\L=363.3in^2\\

<h3>Find Surface Area:</h3>

Total amount of paper and plastic is the surface area:

S=L+\pi{r}^2\\S=363.3+\pi(8)^2\\S=564.26in^2

S=564.3in^2

7 0
3 years ago
7 less than twice a number
Nikolay [14]

Answer:

2x-7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Uhhhhhmmmmmmmmmmmm wuts dis
vichka [17]

Answer:

Hey!

Step-by-step explanation:

Your answer would be 1/8

Have a nice day!♥

And ty XD

8 0
3 years ago
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