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Marysya12 [62]
3 years ago
5

AB ← → is tangent to circle O at point A. If m∠AOB = 55°, what is m∠ABO ?

Mathematics
2 answers:
777dan777 [17]3 years ago
4 0

Answer:

<h3>m\angle ABO=35^{\circ}</h3>

Step-by-step explanation:

Given AB is a tangent to the circle O and touch the circle at point A.

We know that tangent is a line which touches the circle only at one point .

m\angle AOB=55^{\circ}

We know that the radius of circle is perpendicular to the tangent.

In the figure OA is radius of given circle

AB is a tangent line

Radius OA is perpendicular to the tangent AB.

Therefore,m\angle OAB=90^{\circ}

We know that sum of angles of a triangle is 180^{\circ}.

By sum of angle of triangle property

Therefore,in triangle OAB

m\angleOAB+ m\angleABO+ m\angleAOB=180^{\circ}

By angle sum of triangle property

90+55+m\angle ABO=180

145+m\angle ABO=180

<h3>m\angle ABO=180-145=35^{\circ}</h3><h3>Hence, the angle ABO=35^{\circ}.</h3>

AlladinOne [14]3 years ago
3 0
A tangent forms a right angle with the centre of circle at the point it touches the circumference. i.e. OAB = 90 degrees
If AOB = 55 degrees, then ABO = 90 - 55 = 35 degrees
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loris [4]

Answer:

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

Correct statement and question:

camison's minnan gets 14 miles per gallon for city driving and 19 miles per gallon for highway driving. At the beginning of the week, the 24-gallon tank was full. The family traveled 421 miles before running out of gas. How many gallons were used for city driving and  how many were used for highway driving?

Source:

Previous question found at brainly

Step-by-step explanation:

x = Gallons for city driving

24 - x = Gallons for highway driving

Miles drove before running out of gas = 421

Now let's solve for x, writing the following equation:

14x + 19 (24 - x) = 421

14x + 456 - 19x = 421

-5x = 421 - 456

-5x = - 35

x = -35/-5

x = 7 ⇒ 24 -x = 17

<u>7 gallons were used for city driving and 17 gallons were used for highway driving</u>

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Dima020 [189]

Answer:

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Step-by-step explanation:

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Rewrite the expression x^3+10x^2+13x+39/x^2+2x+1 in the form of q(x)+r(x)/b(x)
natima [27]

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}

x^3=x\cdot x^2, and x(x^2+2x+1)=x^3+2x^2+x. Subtracting this from the numerator gives a remainder of

(x^3+10x^2+13x+39)-(x^3+2x^2+x)=8x^2+12x+39

8x^2=8\cdot x^2, and 8(x^2+2x+1)=8x^2+16x+8. Subtracting this from the previous remainder gives a new remainder of

(8x^2+12x+39)-(8x^2+16x+8)=-4x+31

-84x is not a multiple of x^2, so we're done. Then

\dfrac{x^3+10x^2+13x+39}{x^2+2x+1}=x+8+\dfrac{-4x+31}{x^2+2x+1}

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3 years ago
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antiseptic1488 [7]

Answer:

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Step-by-step explanation:

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3 years ago
Rounded to the nearest thousand of 275,608
olga nikolaevna [1]
The thousandths place in 275,608 is the 5. Depending on the next number (which in this case is the 6) it will either round up or down. Since the next number is 6 and it's 5 or bigger, the 5 will round up. So your final answer is 276,000.
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