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Ne4ueva [31]
3 years ago
12

What is the measure of DEF?

Mathematics
1 answer:
Tems11 [23]3 years ago
5 0

The measures of triangle def is ,

78+x+x=180

78+2x=180

2x=180-78

2x=102

x=102÷2

x=51

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almond37 [142]

Answer:

a) ∠EAB = 180° - 90° - 30° = 60°

∠EBA = 180° - 90° - 60° = 30°

a) ∠EBA = 30°

b) ∠DCA = 180° - 90° - 30° = 60°

∠EBA ≅ ∠DAC, ∠EAB ≅ ∠DCA, ∠AEB ≅ ∠CDA

ΔEBA ≅ ΔDAC because of the AAA postulate

c) EB ≅ DA, EA ≅ DC, AB ≅ CA

d) AB = CA     given

sin ∠EAB = EB/AB       (sin 60°)   EB = (0.8660)AB

cos ∠EAB = EA/AB      (cos 60°)  EA = (0.5)AB

cos ∠DAC = AD/CA     (cos 30°)  AD = (0.8660)CA

sin ∠DAC = CD/CA      (sin 30°)   CD = (0.5)CA

ED = EA + AD

ED = (0.5)AB + (0.8660)CA

since AB = CA,  ED = 1.366CA

since EB = (0.8660)AB and AB = CA, then EB = 0.866CA

since CD = 0.5CA,

EB  + CD = 0.866CA + 0.5CA = 1.366CA

EB + CD = 1.366CA

1.366CA = 1.366CA

Proof: ED = EB + CD

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0.44, \frac{7}{3} , - 1.2, -  \frac{1}{ 2}

Let us convert everything into decimals to get:

0.44,2. \bar3 , - 1.2, - 0.5

Rearranging from least to greatest, we have:

- 1.2  , - 0.5 ,0.44,2. \bar3

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3 years ago
Least common multipul
Otrada [13]

ANSWER:

From 2 to 10=

Explanation:

2/2/10

5/1/5

/1/1

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2 years ago
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