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astraxan [27]
3 years ago
8

Artaud noticed that if he takes the opposite of his age and adds 45 he gets the number 32. How old is Artaud?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

He is 13 years old

Step-by-step explanation:

32-45=-13

the opposite of -13 is positive 13

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Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
Rina8888 [55]

9514 1404 393

Answer:

  • ΔABC ~ ΔPQR
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  • PR = 14

Step-by-step explanation:

Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...

  ΔABC ~ ΔPQR by AA similarity

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The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.

  PQ = 2·AB = 2·4 = 8

  PR = 2·AC = 2·7 = 14

The side lengths of interest are ...

  PQ = 8, PR = 14

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3 years ago
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Step-by-step explanation:

7 0
3 years ago
45 POINTS PLEASE HELP
lutik1710 [3]

Hello,

The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.

Which of the following could be combinations of values for the plumber's work hours and total work fee she charges?

Solution:

Find similar ratios to 5/350

Similar Ratios,

1/70

2/140

3/210

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4/280

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Answers:

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5 0
3 years ago
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Identify the equation that translates y=ln(x) five units down.
kari74 [83]

We are given equation: y=ln(x) .

And translation is 5 units down.

We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.

For the given translation 5 unit down, 5 should be less than 0.

Number less than 0 are negative numbers.

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So, we would get the final equation for five units down as

y =ln(x) - 5.

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You are given that <GHJ is a complement of <RST and <RST is a supplement of <ABC. Let m<GHJ be x°. What is the me
MAVERICK [17]

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And ∠RST and ∠ABC are supplementary

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Also, ∠GHJ = x°

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⇒ ∠ABC = 180° - ∠RST

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⇒ ∠ABC = 90° + x°

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