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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

#SPJ1

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In a chest there are some gold coins. Captain takes half the coins. Sally takes a quarter of the coins. There are 3 coins left.
amid [387]

Answer:

<u>There were 12 gold coins in the chest at the start.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = Number of gold coins in a chest

1/2x = Number of gold coins taken by the captain

1/4x = Number of gold coins taken by Sally

3 = Number of gold coins left

2. How many coins were in the chest at the start?

Let's write the following equation to solve for x:

1/2x + 1/4x + 3 = x

2x + x + 12 = 4x (Lowest Common Denominator is 4)

4x - 2x - x = 12 (Like terms)

x = 12

<u>There were 12 gold coins in the chest at the start.</u>

3 0
3 years ago
The product of two consecutive negative even integers is 24. Find the largest integer.
natali 33 [55]

Answer:

-4

Step-by-step explanation:

ok negative times negative = positive

and factors of 24 are

1,2,3,4,6,8,12,24

4 x 6 are the two consecutive EVEN numbers

so turn it to negative

-4 x -6 = 24

The largest is -4

3 0
3 years ago
Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
Feliz [49]

Answer:

8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.

Step-by-step explanation:

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3 years ago
What three things must a ordered pair have?
igor_vitrenko [27]

Answer: An x and y value, parenthesis around the values, and a comma in between them.

Examples of ordered pairs: (2, 5), (1872, 1683), (-3, 7), (7/8, -10/2)


3 0
3 years ago
The cost of a canoe rental is $15 deposit plus $6 per hour.The total rental cost is​
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Answer:

its 90

Step-by-step explanation:

3 0
3 years ago
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