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VLD [36.1K]
3 years ago
5

Need help with this please ​

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

Answer:

These are kinda tuff  Mandi,  sooo remember what's below

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

now fine one of the above functions that has the 3 things you are working with.   2 knowns, and 1 unknown

also we know that the angle at the right tip of the triangle is 90-59= 31°

we know that b/c the inside angles of a triangle always add to 180 and there is already a 90° so we only have 80 left, which the 59° is part of, so 31 is the other, now put that info into one of the above formulas

x= adjacent side

and we know the angle and hypotenuse side.    find the formula with those parts.  I see Cos  has those or CAH... to help remember how those fit

Cos(31) = x / 17

17*cos(31) = x

14.5718 = x

there is your answer,  understand how I got it? :)

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C, G, and D are collinear. E, G, and F are also collinear. The two lines
Elodia [21]

Answer:

EG is 19 units

Step-by-step explanation:

Let us solve the question

∵ Lines CD and EF intersected at point G

∴ CD = CG + GD

∴ EF = EG + GF

∵ Line EF bisects line CD

→ That means G is the midpoint of CD

∴ CG = GD

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→ Subtract 5x from both sides

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→ Divide both sides by 2

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→ Substitute x by 6 to find its length

∴ EF = 6(6) - 4 = 36 - 4

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∴ 32 = EG + 13

→ Subtract 13 from both sides

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∴ 19 = EG

∴ EG = 19 units

7 0
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