Image attached: geometry

Mathematics

2 answers:

BartSMP [9]3 years ago

8 0

Answer:

BCD= 52

Step-by-step explanation:

since BCD is 64 take 64 from 180. 180 - 64 is 116 and since this is an equilateral triangle EBC also equals 64 so take 64 from 116. 116-64 is 52 which is your answer

Scilla [17]3 years ago

4 0

Answer:

52 degrees

Step-by-step explanation:

If <DAE= 16, then <EAB=16, and <DAB=32

Since <DEA is a right angle, it equals 90

traingles =180, so <EDA = 180-16-90=74

This means angles EDC and ABC = 74+64 = 138

Since the interior angles of a quadrilateral =360,

<BCD=360-138-138-32 = 52

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1) Eliot and William went hiking. They went at the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It too

Vitek1552 [10]

Answer:

1) 2 hours

2) 96 miles

Step-by-step explanation:

1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.

Elliot:

Distance = 8 miles

Speed = x mph

Time $=\dfrac{8}{x}$ hours

William:

Distance = 12 miles

Speed = x mph

Time $=\dfrac{12}{x}$ hours

It took Eliot $40\ min=\dfrac{40}{60}\ hour=\dfrac{2}{3}\ hour$ less than William, then

$\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph$