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diamong [38]
3 years ago
6

8. What is m_HTA? 10 points

Mathematics
1 answer:
tatuchka [14]3 years ago
5 0

Answer:

∠HTA = 62

Step-by-step explanation:

In order to find the measure of ∠HTA we must first find the measure of ∠HAT

∠HAT is an inscribed angle and arc mHT is its intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

If arc HT = 102° and arc HT is ∠HAT's intercepted arc then ∠HAT = one half of 102

102 / 2 = 51

Hence, ∠HAT = 51°

Now we can calculate the measure of ∠HTA

Angles in a triangle add up to equal 180

Hence, 67 + 51 + ∠HTA = 180

180 - 67 - 51 = 62

Hence, ∠HTA = 62°

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How many groups of 1 & 2/3 are in 1 & 5/6?How many groups of 1 & 2/3 are in 1 & 5/6?
melamori03 [73]

Answer:

The answer to the question is 2

Step-by-step explanation:

The whole number one (in this case) cancels out with the other one, leaving 2/3 and 5/6 left. You first have to make the two fractions equivalent to do this you should first change 2/3 into an equivalent fraction with a denominator of 6, so we multiply both 2 and 3 by 2 giving us 4/6. This number can go into 5/6 once with a remainder of 1/6.

In this case, you didn't ask for the remainder, so it would just be 2

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3 years ago
If frank runs 55 feet on 10 seconds, at this rate how many feet will he run in 25 seconds
adoni [48]

Answer:

He can run 137.5 ft

Step-by-step explanation:

We can use a proportion to solve

55 ft               x ft

--------------- = -----------------

10 seconds        25 seconds

55 *25 = x*10

1375 = 10x

Divide each side by 10

1375/10 = 10x/10

137.5 = x

He can run 137.5 ft

7 0
3 years ago
Read 2 more answers
Which statement best describes (3 × 4) × 6 = 3 × (4 × 6)?
Harrizon [31]

C the property for this states that the order may change but the the answer will remain the same

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3 years ago
Multiply 0.023 and 10^2
Mkey [24]

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4 years ago
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To reach a vacation spot, the Jones family first traveled by plane and then drove the
navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the  distance by plane.

y = x - 125    => x=y+125  Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500   Eqn 2

Putting value of x from Eqn 1;

(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625

Putting y=625 in Eqn 1

x=625+125\\x=750

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

  • brainly.com/question/10435816
  • brainly.com/question/10435836

#LearnwithBrainly

3 0
3 years ago
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