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maksim [4K]
3 years ago
6

A.) 170 B.) 300 C.)280 D.)155 Please help me

Mathematics
1 answer:
pav-90 [236]3 years ago
6 0

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

5x-10=\frac{1}{2}(195-(8x+17))

which simplifies down a bit to

5x-10=\frac{1}{2}(195-8x-17) which simplifies down a bit more to

5x-10=\frac{1}{2}(178-8x) Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

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Answer:

2.5 hours

Step-by-step explanation:

We are given that

Original height of candle=5 in

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According to question

5-0.4x>4

Subtract 4 from both sides we get

5-4-0.4x>0

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Until the candle has been burning for at least 2.5 hours, the height of her candle will be more than four inches.

8 0
3 years ago
The angle of elevation of the top of a tower from two points 121 m and 144 m away from the foot of the tower on th same side are
Dennis_Churaev [7]

Answer:

132 m

Step-by-step explanation:

Refer to attachment for figure.

In smaller triangle with angle theta , we have ,

⇒ tanθ = p/b

⇒ tanθ = h/121m

⇒ tanθ = h/121 m

<u>In</u><u> </u><u>triangle</u><u> </u><u>with</u><u> </u><u>angle </u><u>9</u><u>0</u><u>-</u><u>∅</u>

⇒ tan(90-θ) = p/b

⇒ cot θ = h/144 m

Multiplying these two ,

=> tanθ . cotθ = h/121 m × h/144m

=> 1 = h²/ (121 m × 144m )

=> h² = 121m × 144m

=> h= √ ( 121m × 144m)

=> h = 11m × 12m

=> h = 132 m

6 0
3 years ago
Can someone explain this I don't understand. 8x + 18 - x - 9
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Answer:

30 books

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bookshelf is 45 inches

each book is 1 1/2 inches

45 / 1 1/2 = 30

30 books can fit on the shelf

7 0
2 years ago
josh is looking to get a new car because he decided he was spending too much on gas. over the past year he found that he drove 7
Sveta_85 [38]

Josh's monthly fuel expenses are $1,050.

<h3><u>Prices</u></h3>

Given that Josh is looking to get a new car because he decided he was spending too much on gas, and over the past year he found that he drove 7,700 miles, and at current gas prices of $4.5 he was getting about 27 miles per gallon, To determine, if he bought a vehicle that realizes 33 miles per gallon, what might be a reasonable estimate of monthly gas costs, the following calculation must be made:

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Learn more about prices in brainly.com/question/18117910

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6 0
2 years ago
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