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2 years ago

Find the value of x. 133 6 135 137° 139°

Mathematics

2 answers:

dmitriy555 [2]2 years ago

7 0

Answer: x + 92° + 47° + 82° = 360° Add 92, 47, and 82 together

x + 221° = 360° Subtract 221 on both sides to get "x" by itself

x + 221° - 221° = 360° - 221°

x = 139° Your answer is the 4th option

saveliy_v [14]2 years ago

3 0

The sum of the angles of 4-sided shapes is 360°

To find the missing angle, you can do this:

x + 92° + 47° + 82° = 360° Add 92, 47, and 82 together

x + 221° = 360° Subtract 221 on both sides to get "x" by itself

x + 221° - 221° = 360° - 221°

x = 139° Your answer is the 4th option

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2 years ago

PLEASE HELP ASAP ILL GIVE BRAINLIEST!!!!!<br><br>find measure of arc MK

Gwar [14]

Answer:

Arc length MK = 15.45 units (nearest hundredth)

Arc measure = 58.24°

Step-by-step explanation:

Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)

ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

$\sf \cos(\theta)=\dfrac{A}{H}$

where:

$\theta$ is the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Given:

$\theta$ = ∠KLM
A = LN = 8
H = KL = 15.2

$\implies \sf \cos(KLM)=\dfrac{8}{15.2}$

$\implies \sf \angle KLM=\cos^{-1}\left(\dfrac{8}{15.2}\right)$

$\implies \sf \angle KLM=58.24313614^{\circ}$

Therefore, the measure of arc MK = 58.24° (nearest hundredth)

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

r = 15.2
∠KLM = 58.24313614°

$\implies \textsf{Arc length MK}=2 \pi (15.2)\left(\dfrac{\sf \angle KLM}{360^{\circ}}\right)$

$\implies \textsf{Arc length MK}=\sf 15.45132428\:units$

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1 year ago

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Answer:

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Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

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Substituting n=10 a10=13 and a1 =-5

13 = -5 +d (10-1)

13 = -5 +9d

Add 5 to each side

13+5 = -5+5 +9d

18 = 9d

Divide each side by 9

18/9 = 9d/9

2 =d

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