All categories

3 years ago

Tangent line i think please help me find x

Mathematics

1 answer:

Alex3 years ago

6 0

Answer:

x= 6.5 cm

Step-by-step explanation:

When a tangent line touches the circle, it forms a right angle triangle at that point

Apply the Pythagorean relationship in this case

Given that the height is = 20.2 cm = b

The hypotenuse is = c= x+14.7 cm

General formulae is;

a² +b² =c²

x² + 20.2² =( x+ 14.7)²

x² + 408.04= x² +14.7x+14.7x+216.09

x² + 408.04= x² + 29.4 x +216.09.........................collect like terms

x²-x² + 408.04-216.09= 29.4x

191.95= 29.4x-------------------------------divide by 29.4 t0 get x

191.95/29.4 =x

x=6.5 cm

You might be interested in

What is the measure of 2U?

siniylev [52]

Answer:

A. 70°

Step-by-step explanation:

Since, TV = TU = 4

$\therefore \: m \angle \: U = m \angle \: V \\(by \: isosceles \: \triangle \: theorem) \\ \because \: m \angle \: V = 70 \degree\\ \\ \therefore \: m \angle \: U = 70 \degree$

5 0

3 years ago

Only the Fahrenheit one plz

makkiz [27]

The formula given is:
F = 1.8C + 32
The temperature C is given as -20
So, all you have to do is plug the given C temperature in the formula to get the corresponding F temperature as follows:
F = 1.8(-20) + 32 = -36 + 32 = -4 degrees Fahrenheit

6 0

3 years ago

If six bags of coffee cost $43.92, how much will 15 bags of coffee cost?

Naily [24]

Answer:

43.92/6=7.32

7.32(cost per bag)*15=$109.80

6 0

4 years ago

Read 2 more answers

Divide x^3+x^2-x+2 divides by x+4

Furkat [3]

Answer:

Step-by-step explanation:

x^3 + x^2 - x + 2 \ x + 4 = x^2 -3x + 11 - 42/(x+4)

5 0

3 years ago

Amelia bought a violin that had a regular price of $150 and was marked down 20%. How much did Amelia pay for the violin?

iragen [17]

Answer:

$120

Step-by-step explanation:

3 0

3 years ago