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Sergeeva-Olga [200]
3 years ago
8

Please help me thank you. show all work.

Mathematics
1 answer:
seraphim [82]3 years ago
3 0
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.

Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.

Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.

To make a similarity statement, we just have to match corresponding parts when naming the triangle.

Similarity statement: ΔOJK~ΔOMN
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Ryan planted flowers in a rectangular garden. The width of the garden is left parenthesis x minus 5 right parenthesis(x−5) feet
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。☆✼★ ━━━━━━━━━━━━━━  ☾  ━━━━━━━━━━━━━━ ★✼☆。

- The equation :

Area = length x width

- Substitute the values in :

Area = (x - 5)(x - 5 + 22)

(Note : the 'x' is for the algebraic expression x in the example above)

- Now you have to simplify the second parenthesis:

Area = (x - 5)(x + 17)

- Now expand :

Area = x^2 + 17x - 5x - 85

- Simplify by collecting like terms :

Area = x^2 + 12x - 85

(Note : x^2 means x squared)

Now you have your answer as:

x^2 + 12x - 85 feet^2

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3 0
3 years ago
Circle A and Circle B are conguent. CD is a chord of both circles. if AB=24 in and the radius is 13 in how long is CD
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See the attached picture:

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Austin burns 120 calories per 30 minutes of weight training. How many calories does he burn in 90 minutes?
nadezda [96]

Answer:

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Step-by-step explanation:

360

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In the diagram, the measures of angle 3 and angle 6 are 50 degrees. The measure of angle 5 is 130 degrees. Are lines c and d par
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9514 1404 393

Answer:

  (c)  Yes, because angle 3 and angle 6 are congruent

Step-by-step explanation:

Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.

__

We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.

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0.22% shrinkage as a percent of sales.

To calculate shrinkage you subtract the physical inventory value from the book value.

245,000-237,000 = 800

The shrinkage was $800. To find the shrinkage as a percent of sales take the shrinkage value and divide it by the sales value to get shrinkage as a percentage of sales.

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Multiply Decimal by 100 to get the percentage

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