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prisoha [69]
3 years ago
12

X+25+7x-65=180 solve for x

Mathematics
2 answers:
Gnesinka [82]3 years ago
8 0

Answer:

x = 27.5

Step-by-step explanation:

(x + 25) + (7x - 65) = 180

8x - 40 = 180

8x = 220

x = 27.5

(27.5) + 25 + 7(27.5) - 65 = 180

52.5 + 192.5 - 65 = 180

245 - 65 = 180

180 = 180

kozerog [31]3 years ago
6 0
X = 27.5

8x = 220, so 220/8 = 27.5
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3 years ago
Solve using law of sines or law of cosines!
malfutka [58]

Answer:

Part 5) The length of the ski lift is 1.15\ miles

Part 6) The height of the tree is 18.12 m

Step-by-step explanation:

Part 5)

Let

A -----> Beginning of the ski lift

B -----> Top of the mountain

C -----> Base of mountain

we have

b=0.75\ miles

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Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

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Par 6)

see the attached figure with letters to better understand the problem

<u><em>Applying the law of sines in the right triangle BDC</em></u>

In the right  triangle BDC 20 degrees is the complement of 70 degrees

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<u><em>Applying the law of sines in the right triangle ABC</em></u>

In the right  triangle ABC 50 degrees is the complement of 40 degrees

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Equate equation A and equation B and solve for x

(sin(70\°))\frac{x}{sin(20\°)}=(sin(40\°))\frac{x+15}{sin(50\°)}\\\\2.7475x=0.8391(x+15)\\\\2.7475x=0.8391x+12.5865\\\\2.7475x-0.8391x=12.5865\\\\x=6.60\ m

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3 years ago
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Answer:

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