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2 years ago

Find the value of x

Mathematics

1 answer:

givi [52]2 years ago

3 0

Answer:

110°

Step-by-step explanation:

In triangle AOB

OA = OB (radii of same circle)

$m\angle OAB = m\angle OBA =20\degree$

$m\angle AOB = 180\degree - (20\degree +20\degree)$

$m\angle AOB = 180\degree - 40\degree$

$m\angle AOB = 140\degree$

$m\widehat {ACB} =m\angle AOB = 140\degree$

(measure of minor arc is equal to corresponding central angle)

$x\degree = \frac{1}{2} (360\degree - 140\degree)$

(inscribed angle theorem)

$x\degree = \frac{1}{2} \times 220\degree$

$\huge\purple {x = 110}$

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3 years ago

Zoe had 3 1 /8 feet of orange ribbon. She used some ribbon to make a bow for a gift now she has 1 3 /8 feet of orange ribbon lef

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Answer:

Orange ribbon Zoe use is $1\frac{3}{4} \ feet.$

Step-by-step explanation:

Given:

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Now, to find the orange ribbon Zoe use.

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Now, to get the orange ribbon Zoe use:

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Subtracting both sides by $\frac{11}{8}$ we get:

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Adding both sides by $x$ we get:

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3 years ago

What is the measure of angle 1? 20° 42° 138° 160°

nikdorinn [45]

Step-by-step explanation:

line s || line t

r is the transversal,

Therefore,

(7x-2)°= (6x+18)° {exterior alternate angles}

7x-6x=18+2

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r is also a straight line,

therefore,

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