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Vera_Pavlovna [14]
3 years ago
6

The Figure below shows a triangle with vertices a and B on a circle and vertex C outside it Side AC is tangent to the circle sid

e BC is a sink and intersecting the circle at point X what is the measure of angle ACB
32
6
24
12

Mathematics
1 answer:
ehidna [41]3 years ago
3 0

Answer:

the answer is 12 degrees

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Draw and use algebra tiles to solve the equation.<br><br> 2x - 3 = 5
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Answer: x=4

Step-by-step explanation: Add 3 to both sides,  Divide both sides by 22

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Special right triangles.
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QUESTION 9

The given right angle triangle has its two legs equal to x\:cm and the hypotenuse is 2\:units.


Using the Pythagoras theorem, we have

x^2+x^2=2^2


This implies that;

2x^2=2^2


2x^2=4


x^2=2


x=\sqrt{2}


x=1.414


x\approx1.4\:units


QUESTION 10


The given right angle triangle has its two legs equal to x\:units and the hypotenuse is 7\:units.


Using the Pythagoras theorem, we have

x^2+x^2=7^2


This implies that;

2x^2=7^2


2x^2=49


x^2=24.5


x=\sqrt{24.5}



x=4.95\:units


QUESTION 11

Sam divided the square backyard into two sections along the 40ft diagonal.

Let one of the sides of the garden be x\:units, then the other side of the garden is also  x\:units since it was a square backyard.


The diagonal is the hypotenuse which is 40ft and the two legs are  x\:units each.


Applying the Pythagoras Theorem, we have;

x^2+x^2=40^2


2x^2=1600


x^2=800


\Rightarrow x=\sqrt{800}


\Rightarrow x=28.28


The length of one side of the garden is approximately 28cm.


QUESTION 12

The hypotenuse of Nicole's right triangular support is 92cm long.


It was given that the two lengths of the triangular support are of equal length.


Let the two lengths of the triangular support be l\:cm each.


We then apply the Pythagoras theorem to obtain;

l^2+l^2=92^2


\Rightarrow 2l^2=8464


\Rightarrow l^2=4232


\Rightarrow l=\sqrt{4232}


\Rightarrow l=65.05cm


Therefore Nicole needs l+l=65.05cm+65.05cm\approx130cm of wood to complete the support.

The correct answer is A.


QUESTION 13

A 45-45-90 triangle is an isosceles right triangle.


Let the length of the two legs be m\:inches each.

It was given that the hypotenuse of this triangle is 12\:inches.


Applying the Pythagoras Theorem, we have;

m^2+m^2=12^2


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QUESTIONS 14.

It was given that the distance from home plate to first base is 90 feet.


Since the baseball field form a square, the length of the baselines are all 90ft.

We want to calculate the distance from home plate to 2nd base,which is the diagonal of the square baseball field.

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QUESTION 15.

The distance from third base to  first base is also 127 ft to the nearest foot.


The reason is that the  diagonals of a square are equal in length.


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3 years ago
Help me please with explanation
8_murik_8 [283]

Step-by-step explanation:

angle AOB = x+3

angle AOC = 2x + 11

angle BOC = 4x-7

angle AOC = angle AOB + angle BOC

=> 2x +11 = (x+3) + (4x-7)

2x +11 = 5x - 4

=> 3x = 15

x = 5

subst x = 5 in the given formulas

angle AOB = x +3 =8

angle AOC = 2x + 11 = 21

angle BOC = 4x - 7 = 13

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Solve for n 0=-5n-2n
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0 = -5n - 2n
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