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Vilka [71]
1 year ago
12

k h S Which of the following is a true proportion of the figure based on the triangle proportionality theorem?​

Mathematics
1 answer:
erastova [34]1 year ago
5 0

The true proportion of the figure based on the triangle proportionality theorem is Option (A).

What is the basic proportionality theorem?

According to the Basic Proportionality Theorem (BPT), if a line is parallel to a triangle's side that divides the other sides into two separate points, the line will divide those sides proportionately.

Given that TU is parallel to QR, by the proportionality theorem, we get

\frac{ST}{TQ} = \frac{SU}{UR}

or, \frac{k}{j} = \frac{h}{i}

or, \frac{i}{j} = \frac{h}{k}

Ans:  \frac{i}{j} = \frac{h}{k}

Hence, a true proportion of the figure based on the triangle proportionality theorem is (A)  \frac{i}{j} = \frac{h}{k}

To learn more about the proportionality theorem

brainly.com/question/8160153

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Motorcycle surfer if Maddison drove 10 miles per hour, how long did it take him to ride 15 miles
MrRissso [65]
It took him 1 hour and 30 mins .
He needs to go 15 miles. It takes him 1 hour to get 10 miles. After 1 hour has passed he still needs 5 more miles to go. 5 miles is half of 10 so half of 1 hour is 30 mins. 1 hour + 30 mins is 1 hour and 30 mins. (It took him 1 hour 30 mins)
5 0
4 years ago
I dont understand how to answer this. I tried to find the second derivative. ​
Orlov [11]

Answer:

(B) π/12 + π/6 k

Step-by-step explanation:

Points of inflection are where f"(x) = 0 and changes signs.

f(x) = cos²(3x)

f(x) = (cos(3x))²

f'(x) = 2 (cos(3x))¹ × -sin(3x) × 3

f'(x) = -6 sin(3x) cos(3x)

Using double angle formula:

f'(x) = -3 sin(6x)

f"(x) = -3 cos(6x) × 6

f"(x) = -18 cos(6x)

0 = -18 cos(6x)

0 = cos(6x)

6x = π/2 + 2πk or 6x = 3π/2 + 2πk

We can simplify this to:

6x = π/2 + πk

x = π/12 + π/6 k

7 0
4 years ago
The sales of homes in a new development have been increasing. In January, 5 homes were sold, in February,
Rama09 [41]

Answer: a_n=7n-2

Step-by-step explanation:

Let we consider sales of home in January as first term for sequence, then sales in February will be 2nd term and so on.

According to the given information, we have

First term : a_1=5

Second term :a_2= 12=5+7

Third term : a_3= 19=12+7

We can see that, Common difference = 7

Explicit rule for Arithmetic sequence :

a_n=a_1+(n-1)d

Put a_1=5 and d=7

a_n=5+(n-1)7\\\\ a_n=5+7n-7\\\\ a_n=7n+5-7\\\\ a_n=7n-2

The required  explicit rule that can be used to find the number of homes sold in the nth month of the year : a_n=7n-2

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4 years ago
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Suppose you vote in an election for a slate of candidates from a particular party.The percentage of votes the party wins in a di
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These districts are best characterized as Proportional Representation districts.

What is Proportional Representation?

There are numerous types of proportional representation systems, but they all have two things in common. They start by using districts with multiple members.

Proportional Representation, abbreviated as PR, uses significantly bigger districts that elect multiple members at once, such as five or ten, rather than electing one member of the legislature in each local district. Second, the percentage of votes a party receives in these districts with several members determines which candidates gain the seats.

The Proportional Representation system of America overcomes the wide ranging drawbacks of single-district voting system like not representing the  large number of voters, discrimination against third parties, etc.

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Which statement below is always true?
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Answer:

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