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4 years ago

X-6 greater then equal to 15 + 8x

Mathematics

2 answers:

Nataliya [291]4 years ago

5 0

Answer:

x ≥ -3

Step-by-step explanation:

x - 6 ≥ 15 + 8x

x - 8x ≥ 15 + 6

-7x ≥ 21

x ≥ 21/-7

x ≥ -3

x greater than equal to -3

check:

-3 - 6 ≥ 15 + 8*-3

-9 ≥ 15 - 24

const2013 [10]4 years ago

3 0

Answer:x ≤ 3

Step-by-step explanation:

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Answer:

41.67% probability that a student has a dog given that they have a cat

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: having a cat.

Event B: having a dog.

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4 years ago

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Step-by-step explanation:

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Points N, P, and R all lie on circle O. Arc PR measures 120°. How does the measure of angle RNQ relate to the measure of arc PR?

miskamm [114]

Answer:

Angle RNQ is equal in measure to arc PR.

Step-by-step explanation:

Consider the complete question is,

Points N, P, and R all lie on circle O. Arc PR measures 120° How does the measure of angle RNQ relate to the measure of arc PR?

A.Angle RNQ is equal in measure to arc PR.

B.Angle RNQ is half the measure of arc PR.

C.Angle RNQ is twice the measure of arc PR.

D.Angle RNQ is four times the measure of arc PR.

By the below attached diagram,

In triangle PRN,

O∈PN,

Such that, RO = RN,

⇒ m∠RON = m∠RNO ......(1),

Also, m∠ROP+m∠RON = 180° ( linear pairs ),

⇒ 120° + m∠RON = 180°

⇒ m∠RON = 180° - 120° = 60°,

From equation (1),

m∠RNO = 60°,

Again,

m∠RNO + m∠RNQ = 180° ( linear pairs )

⇒ 60° + m∠RNQ = 180°

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