Answer:
264
Step-by-step explanation:







Answer:
The probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
Step-by-step explanation:
Number of red marbles = 12
Number of green marbles = 8
Total number of marbles = 12+8 = 20
Probability of selecting red marble =
Since it is the case of no replacement
Remaining marbles = 20-1 = 19
Number of red marbles = 12-1=11
Number of green marbles = 8
Probability of selecting green marble =
So, the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag =
Hence the probability of selecting a red marble, not replacing it, and then selecting a green marble from the bag is 24/95
5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
<h3>What are Triangles?</h3>
A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
- Isosceles triangle: has 2 equal base angles.
- Equilateral triangle: has three equal angles, each measuring 60 degrees.
- Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.
5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8. m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
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Answer:
coefficent matrix
Step-by-step explanation:
P. 366
"If the column of constant terms is not included, the matrix reduces to that of the coefficent matrix of the system"
-1 -3 -1
9 -9 -1
-1 -3 4
Answer:
Convert 27 4/3 to an improper fraction.
Step-by-step explanation:
Exact Form:
85/3
Decimal Form:
28.¯3
Mixed Number Form:
28 1/3