In circle N with the measure of arc \stackrel{\Large \frown}{MP}= 114^{\circ} MP ⌢ =114 ∘ , find \text{m} \angle MNPm∠MNP

Mathematics

1 answer:

Roman55 [17]2 years ago

6 0

According to the central angle theorem, the measure of angle MNP = 114°.

<h3>What is the Central Angle Theorem?</h3>

According to the central angle theorem of a circle, the measure of central angle MNP equals the measure of intercepted arc MP.

Measure of arc MP = 114°

Measure of angle MNP = arc MP

Measure of angle MNP = 114° [central angle theorem]

Learn more about the central angle theorem on:

brainly.com/question/5436956

#SPJ1

You might be interested in

Find the slope for 11-12

Rama09 [41]

Step-by-step explanation:

To find the gradient:

y2-y1/x2-x1

Pick any two coordinates

11)

(4,3) and (1,-1)

-1-3= -4

1-4= -3

-4/-3 = 1.3(1dp)

12)

(0,1) and ( 2,-2)

-2-1= -3

2-0= 2

-3/2= -1.5

Might be wrong but this is what I got from what I have learnt.

Hope this helps! :)

6 0

3 years ago

Prove that one of every three consecutive positive integer is divisible by 3

Inessa05 [86]

Hello :
all n in N ; n(n+1)(n+2) = 3a a in N or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)

n+1 </span>≡ 1 ( mod 3)...(2)
  n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 0×1×2   ( mod 3) : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

n+1 ≡ 2 ( mod 3)...(2)
  n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 1×2 × 3  ( mod 3) : ≡ 0 (mod 3) , 6≡ 0 (mod)
3) n  ≡ 2 ( mod 3)...(1)

n+1 ≡ 3 ( mod 3)...(2)
  n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3) : n(n+1)(n+2) ≡ 2×3 × 4  ( mod 3) : ≡ 0 (mod 3) , 24≡ 0      (mod3)

5 0

3 years ago

Lota points<br> 44 is 25% of what

Elden [556K]

Answer:

176

Step-by-step explanation:

To find a number from a known percentage and a number, divide the given number by the percent.

$\frac{v}{p}$