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SashulF [63]
2 years ago
8

Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Mathematics
1 answer:
prisoha [69]2 years ago
6 0

Answer:

The correct option is A.

Step-by-step explanation:

When we have two congruent figures, the correspondent sides of the figures are related by the same constant C.

In the case of the image.

h is the left side of the smaller triangle.

h + j is the left side of the larger triangle.

Then we have the relation:

(h + j) = C*h

If we isolate C, we get:

C = (h + j)/h

We can also write this for the other side (the bottom one)

k*C = (k + i)

C = (k + i)/k

Then we have:

(h + j)/h = (k + i)/k

We can rewrite this as:

h/h + j/h = k/k + i/k

1 + j/h = 1 + i/k

We can subtract 1 in each side to get:

j/h = i/k

This is almost the same we can see in option A (its inversed)

If we apply the inverse to both sides, we get:

(j/h)^-1 = (i/k)^-1

h/j = k/i

Which is the same equation that we can see in option A.

Then the correct option is A.

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In this particular arithmetic sequence, a8 = 28 and a16 = 108. What is the value of a24?
kap26 [50]
In this sequence d=10. Therefore, a24=188.
5 0
3 years ago
3 In
Orlov [11]

Answer:

22.3838476568 in²

Step-by-step explanation:

First you would find the area of sector (yellow). The formula is 75/360 x π x 3².

this is equal to 5.89048622548. Now the total circle area is 3²xπ = 28.2743338823. 28.2743338823 - 5.89048622548 = 22.3838476568 in²

⭐ Answered by Foxzy0⭐

⭐ Brainliest would be appreciated, I'm trying to reach genius! ⭐

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7 0
3 years ago
Solve for x:<br><br> x = <br> Answers: 22.5 30 45
AVprozaik [17]
Answer: 22.5 degrees

Step-by-Step Explanation:

As we can see, we are given a line, which is a straight angle. Hence, it will be of 180 degrees.

=> All the angles sum up to 180.

Therefore,
=> 3x + x + 90 = 180
= 4x + 90 = 180
= 4x = 180 - 90 = 90
=> x = 90/4 = 22.5

Therefore, x = 22.5 degrees

Verification:

=> 3x + x + 90 = 180
= 3(22.5) + 22.5 + 90 = 180
= 67.5 + 22.5 + 90 = 180
= 90 + 90 = 180
=> 180 = 180
=> LHS = RHS
6 0
2 years ago
A new club sent out 288 coupons to boost sales for next year's memberships. They provided 5 times as many to potential members t
Aliun [14]

Answer:

D. 48

Step-by-step explanation:

We don't know the numbers of coupons sent to existing members and to potential members, but we know a relationship between the number.

They sent 5 times as many coupons to potential members as they did to existing members.

Let x = number of coupons sent to existing members.

Then 5x = number of coupons sent to potential members.

The total number of coupons sent was x + 5x = 6x

The total number of coupons sent was 288.

Therefore, 6x must equal 288 giving us an equation with a single variable.

6x = 288

x = 48

Answer: 48

7 0
3 years ago
Which category would have the lowest conditional relative frequency?
lianna [129]
I think it might be B.. but i’m not sure bc I would think it would be amen who prefer dance
6 0
2 years ago
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