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denis-greek [22]
4 years ago
14

Solve for X then find the measure of DEF. Write your answers in decimal form.

Mathematics
1 answer:
Fittoniya [83]4 years ago
7 0

Answer:

Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections

Hence, ∠DEG = ∠GEF --------------(1)

We are given the measure of these angles:

∠DEG = 3x - 4

∠GEF = x + 13

Now, replacing the values in (1):

3x - 4 = x + 13

2x = 17

x = 17/2

Now, finding the measure of ∠DEF:

∠DEF = ∠DEG + ∠GEF

∠DEF = 3x - 4 + x + 13

∠DEF = (51 / 2) - 4 + (17/2) + 13                      (x = 17/2)

∠DEF = 34 - 4 + 13

∠DEF = 43°

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Step-by-step explanation:

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Step 2: Substitute and Evaluate

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which statements about the system are true? check all that apply. y = x – 4 3y – x = –7 the system has one solution. the system
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8 0
4 years ago
Read 2 more answers
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