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AlladinOne [14]
3 years ago
15

Solve for x. The polygons in each pair are similar.

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0
If each is similar, then 6 times (5) = 30
                     therefore 8 times (5) = 6X - 8
                                       40 = 6X - 8
add 8 to both sides        48 = 6X
divide by 6                      8 = X
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Charlie is late for the hot-air balloon rally. He stops his car 65 meters from a hot-air balloon already in flight. While Charli
aalyn [17]

Answer: 111.4m

Explanation:

1) Trigonometric ratios

You only need to use tangent ratio.

tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance

2) First, find the height of the ballon when he is watching at an angle of elevation of 28°

tangent ratio = opposite-leg / adjacent-leg = balloon height / horizontal distance

tan(28°) = balloon height/65m ⇒balloon height = tan(28°)×65m

balloon height = 34.56m

3) Second, find the height of the balloon,when he is watching at an angle of elevation of 66°

tan(66°) = height of the balloon / 65m ⇒ height of the balloon = tan(66°)×65m

height of the balloon = 145.99m

4) Vertical distance the balloon ascended while Charlie watched.

Subtract the final initial height from the final height:

145.99m - 34.56m = 111.43m

4) Round to the nearest tenth: 111.4 m

6 0
3 years ago
Mrs. Balcon owes the dentist $342. She wants to have her payments taken from her checking account over the next 7 1/2 months. By
kiruha [24]

Answer:

$45.60 per month

Step-by-step explanation:

She owes the dentist $342.00

you take $342.00 divided by 7.5(the amount of months)

and get $45.60 per month

7 0
3 years ago
The costprice of the article is Rs800.If the article is sold for Rs1200,find profit​
romanna [79]

Answer:

Answer

Profit = SP - CP

Profit = 1200 - 800

Profit = 400

Henceforth,

Profit made on the article is ₹400

8 0
3 years ago
Write the divisor of 4/12=1/3
mars1129 [50]
<span>4/12=3/9=2/6=1/3 </span>should be the right answer. (You have to reduce.)
4 0
3 years ago
If a function is written in slope intercept form, y=mx+b, the x represents the ______.
Hitman42 [59]

The x in y = mx + b represents the input, C.

4 0
3 years ago
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