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rosijanka [135]
4 years ago
12

Anna, Ben, and Cathy are having a treasure hunt. They head off in three different directions to start looking for treasure. Afte

r some time, their distances from each other form triangle ABC as shown. Which two friends are farthest apart? a triangle where the measure of angle A, representing Anna, is unknown; angle B, representing Ben, measures 55°; and angle C, representing Cathy, measures 50° A. Anna and Cathy B. Anna and Ben C. Ben and Cathy D. All three are the same distance apart.

Mathematics
1 answer:
Olegator [25]4 years ago
3 0

Answer: C. Ben and Cathy

Step-by-step explanation:

The diagram showing the triangle ABC is shown in the attached photo.

a represents the distance between Ben and Cathy.

b represents the distance between Andy and Cathy

c represents the distance between Andy and Ben,

The unknown angle A is determined by subtracting the sum of angle B and angle C from 180 degrees. This is because the sum of angles in a triangle is 180 degrees.

Angle A = 180 - (55 + 50)

= 180 - 105 = 75 degrees.

75 degrees is the biggest angle and thus, the farthest distance. It corresponds to a, the distance between Ben and Cathy.

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Answer:

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Step-by-step explanation:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A"B"?

coordinate plane with triangle ABC at A(-3, 3), B(1, -3), and C(-3, -3)

A)segment A"B"= AB / 2

B)segment AB = segment A"B"/ 2

C)segment AB / segment A"B"= 1/2

D)segment A"B" / segment AB = 2

A"B" = AB / 2

Because

1. translations do not change the lengths of segments, so (x+2, y+0) preserves the length of AB, i.e. mA'B' = mAB

2. Dilation causes the new segment to be transformed to a new length according to the old length * the scale factor of (1/2).

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3 years ago
What is three over two x plus three equal to zero
nataly862011 [7]

QUESTION → \frac{3}{2}x + 3 = 0

Start by subtracting 3 from both sides to get \frac{3}{2}x = -3.

Now multiply both sides by the reciprocal of 3/2, which is 2/3.

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3 years ago
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A baseball player on a professional baseball team has 207 hits in 575 at-bats. What
Vika [28.1K]

Answer:

9/25

Step-by-step explanation:

find a number that both the top and bottom are divisible by,

23 is the greatest common division we can make such that the top and bottom remain whole numbers

so,

\frac{207 }{575} ÷23

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Step-by-step explanation:

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3 years ago
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers
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Answer:

The smaller number equals 12, the larger number equals 51.

Step-by-step explanation:

x + (3x + 15) = 63

Combine like terms.

4x + 15 = 63

Subtract 15 from both sides.

4x + (15 -15) = (63 - 15)

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Divide both sides by 4.

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Check answer.

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3 years ago
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