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kkurt [141]
3 years ago
14

Mr. Jones spent $156 to attend a college football game. • Twenty percent of this cost was for a parking pass. • He spent the rem

ainder of the money on two tickets for the game. What was the price per ticket?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0
One ticket cost $78 and the number 78 is the half of the number 156
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Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
3 years ago
Read 2 more answers
Question 15 of 26
DanielleElmas [232]

Answer:

3.5 yards

Step-by-step explanation:

3 0
3 years ago
Whats the answer to that question?
gavmur [86]

Answer:

-0.9090... can be written as \frac{10}{11}.

Explanation:

Any <em>repeating </em>decimal can be written as a fraction by dividing the section of the pattern to be repeated <em>by </em>9's.

We can start by listing out

0.909090... = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now. we let this series be equal to x, that is

x = 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

Now, we'll multiply both sides by 100 .

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + ...

Then, subtract the 1st equation from the second like so:

100x = 90 + 0 + 9/10 + 0/100 + 9/1000 + 0/10000 + 9/100000 + 0/1000000 + ...

-x = - 9/10 - 0/100 - 9/1000 - 0/10000 - 9/100000 - 0/1000000 - ...

And we end up with this:

99x=90

Finally, we divide both sides by 99 in order to isolate x and get the fraction we're looking for.

x=\frac{90}{99}

Which can be reduced and simplified to

x=\frac{10}{11}

Hope this helps!

4 0
3 years ago
If the area of the Arctic Ocean is 16% of the area of the Atlantic ocean what is the area of the Arctic Ocean
Art [367]
Idk how big is 16% is 16% like 20

3 0
3 years ago
Read 2 more answers
Write in point-slope form (-4,-3) m=-1
zvonat [6]

Answer:

Point-slope form: y + 3= -1(x + 4)

Slope-intercept form: y = -1x - 7

y = m * x + b,

where:

m is the slope; and

b is the intercept of the y-axis.

4 0
3 years ago
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