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astraxan [27]
3 years ago
13

Anybody know the answer?

Mathematics
1 answer:
dsp733 years ago
8 0

So since its a right triangle, we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 . Since we know that 2 and 3 are our legs and x is our hypotenuse, we can solve the equation as such:

2^2+3^2=x^2\\ 4+9=x^2\\ 13=x^2\\ \sqrt{13}=x

Since √13 can't be further simplified, that is your final answer.

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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

5 0
2 years ago
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lara31 [8.8K]

Answer:

a=24

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now

24+(7-4)

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so the answer is 27

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Firlakuza [10]
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Solve: 2 + = 2. Give solutions in interval [0, 2)
Dovator [93]
\because\cos 2x+\sin x=\sin 2x\because\sin 2x=2\sin xcosx\because\cos 2x=\cos ^2x-\sin ^2x

→ Substitute cos 2x and sin 2x by their expressions

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→ Subtract both sides by sin x

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→ Take sin x as a common factor in the right side

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From the graph, the equation has 4 solutions, the intersection points between the 2 graphs

7 0
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