The problem is 3+6x = 15 with x being the number of white numbers.
Isolate variable by subtracting 3 on both sides: 6x = 12.
Isolate variable by dividing 6 on both sides: x = 2
The number of white marbles is 2.
hi
1st draw: green
2/12. (2 green out of 12 marbles), reduces to 1/6
2nd draw: blue
4/11 (4 blue marbles out of the 11 marbles remaining after 1st draw.)
Probability of theses BOTH happening: multiply these individual probabilities.
Conditional probability:
P(a and b) = P(a)P(b|a)
Prob(event 1) × Prob(event 2 given event 1).
1/6 • 4/11 = 4/66 = 2/33 or 0.0606. just a hair over 6% probability of the described sequence hapening.
AC is perpendicular to BD.
<h3>
Further explanation</h3>
- We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that
is reflexive. - The length of the base of the triangle is the same, i.e.,
. - In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely
. Thus we get ∠ACB = ∠ACD = 90°.
Conclusions for the SAS Congruent Postulate from this problem:
- ∠ACB = ∠ACD
- - - - - - - - - -
The following is not other or additional information along with the reasons.
- ∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and
- ∠BAC = ∠DAC no, because that is ASA with and ∠ACB = ∠ACD.
- no, because already marked.
- - - - - - - - - -
Notes
- The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.
- The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.
- The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.
- The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.
<h3>Learn more</h3>
- Which shows two triangles that are congruent by ASA? brainly.com/question/8876876
- Which shows two triangles that are congruent by AAS brainly.com/question/3767125
- About vertical and supplementary angles brainly.com/question/13096411
Answer:
Explanation:
Verbal statements must be translated into algebraic expressions, equations or inequalities.
<u>1. Money earned by Jamie washing cars for $25 each</u>
Let x represent the number of cars Jaime washes.
<u>2. Money earned by Stella making pecan pies for $15 each</u>
Let y represent the number of pies she makes
<u>3. Constraint on the number of pies that Stella can make because she only has enough supplies to make 40 pies</u>.
Write an inequality using the symbol ≤, since y can take any integer value up to 40.
4. First question:
Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip
5. Second question:
Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.
6. Third question
Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.
From step # 3
7. Conclusion
You can solve the inequalities fo find whether Stella can or not afford the trip:
Solve for the inequalities that represent Stella's situation:
The solution set is the intersection of the two solutions:
- Interpretation: Stella will be able to make 40 pies, which represents a revenue of $ 15 / pie × 40 pie = $ 600, so she will be able to make the trip.
Answer:
One hour, 11 minutes, 32 seconds
Step-by-step explanation:
