20 days ago

Uma urna contém 10 bolas identificadas pelas letras A, B, ..., J. Uma bola é extraída ao acaso da urna e sua letra é observada.

(Deixe explícito o espaço amostral e todos os eventos). Qual é a probabilidade de uma letra da bola sorteada ser: a) Vogal b) Consoante

Mathematics

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3 lines are shown. A line with points M, H, K intersects with a line with points J, H, L at point H. Another line extends from p

AnnZ [12381]

Answer:

The correct choice is B.

Step-by-step explanation:

Given angles are: ∠MHL=(3x+20), ∠KHN=(x+25), and ∠JHN=(x+20).

We need to determine the measure of ∠JHN.

$\angle MHL=\angle JHK$ (Rotation of angles)

$\angle MHL=\angle JHN+\angle KHN$

Substituting the known values.

$3x+20=(x+20)+(x+25)$

$3x+20=2x+45$

$3x-2x=45-20$

$x=25$

Solving gives x as 25. Therefore, ∠JHN measures

$\angle JHN=x+20=25+20=45$

45°.

Consequently, the accurate choice is B.

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Matthew bought flowers for his mom. he bought 12 flowers that were a combination of roses and lilies. the roses cost $1.75 each

Inessa [12570]

To tackle this issue, follow the outlined procedure: 1. Designate variables: let’s say $x$ is the count of roses and $y$ represents the number of lilies. 2. Construct a system of equations based on the provided details in the problem statement above. 3. Utilize substitution method: first, resolve for $x$ in the second equation, substitute it into the first equation, then solve for $y$ . 4. Next, substitute $y=3$ back into the second equation. Consequently, the answer will be: $9$ roses and $3$ lilies.

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