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Effectus [21]
3 years ago
5

What is the value of x if AP and BP are tangent segments AP = 10x - 15 and BP = 7x + 3

Mathematics
1 answer:
worty [1.4K]3 years ago
8 0
If AP and BP are tangent segments connected outside of the circle at point "P" then <span>AP = BP so,
10x - 15 = 7x + 3</span>
3x = 18
x = 6


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dlinn [17]

The answer is true.

Complementary = 90

Supplementary = 180

7 0
3 years ago
Read 2 more answers
If the length of AB=12, what is the length of AP?
lara31 [8.8K]

Answer:

AP= 12

Step-by-step explanation:

Here is the complete question: If the length of AB=12, what is the length of AP? picture attached.

Given: AB= 12

          ∠APB= 60°

Remember; sum of all angle of triangle is equal to 180°.

We can look at picture, where two side of triangle is radius of circle.

∴ Angle of two side will also be same for the isosceles triangle.

Lets assume the unknow angle of the triangle be "x".

Now, x+x+60= 180

⇒ 2x+60= 180

subtracting both side by 60

⇒ 2x= 120

∴ x= 60

As now we have all the angle of triangle is 60° (equilateral triangle)

∴ All the side will be same, which is 12

Hence, AP= 12.

7 0
3 years ago
Find the missing exponent
sladkih [1.3K]
-7 is the missing exponent
3 0
3 years ago
4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is
stich3 [128]

Answer:

D: y= -5x+12

Step-by-step explanation:

Since the slope is -5 is either C or D. Let's replace x= 2 in either to see what we get.

C: -5(2)-2 = -12 Nope.

D: -5(2) +12 = 2 Good!

5 0
2 years ago
Convert the decimal to a fraction in simplest form:
Shkiper50 [21]

Answer:

Decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

Step-by-step explanation:

Given the decimal

0.333

Multiply and divide by 10 for every number after the decimal point.

There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

0.333=\frac{0.333\cdot \:\:1000}{1000}

         =\frac{333}{1000}         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction \frac{333}{1000}

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

<u>Greatest Common Divisor (GCD) : </u>

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

  • As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

4 0
3 years ago
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