constant of proportionality => COP
3: P(triangle ABC) = 84
COP = 18/15 = 1.2
Since you are finding the larger triangle, multiply the other numbers by 1.2
25 * 1.2 = 30
28 * 1.2 = 33.6
17 * 1.2 = 20.4
add them all up (answer up top)
5: P(triangle ABC) = 61.2
COP = 9/5 = 1.8
Since you are finding the larger triangle, multiply the other numbers by 1.8
9 * 1.8 = 16.2
13 * 1.8 = 23.4
12 * 1.8 = 21.6
add them all up (answer up top)
6: P(triangle RST) = 110
RP and PT are congruent, this means that PT is also 20
COP = 40/20 = 2
Since you are finding the larger triangle, multiply the other numbers by 2
25 * 2 = 50
20 * 2 = 40
10 * 2 = 20
add them all up (answer up top)
You can get 20 quarters for a five dollar bill. Just divide 5.00 by 0.25 and you get 20. To check, you can multiply 20 by 0.25 and you will get 5.00 or 5.
Answer:
The factors are (x - 1)(x - 5)(x + 2).
Step-by-step explanation:
Long division:
x - 5 )x^3 - 4x^2 - 7x + 10( x^2 + x - 2 <--------- Quotient.
x^3 - 5x^2
x^2 - 7x
x^2 - 5x
- 2x + 10
-2x + 10
...........
x^ 2 + x - 2 = (x + 2)(x - 1).
BC is 10 units and AC is
units
Step-by-step explanation:
Let us revise the sine rule
In ΔABC:

- AB is opposite to ∠C
- BC is opposite to ∠A
- AC is opposite to ∠B
Let us use this rule to solve the problem
In ΔABC:
∵ m∠A = 45°
∵ m∠C = 30°
- The sum of measures of the interior angles of a triangle is 180°
∵ m∠A + m∠B + m∠C = 180
∴ 45 + m∠B + 30 = 180
- Add the like terms
∴ m∠B + 75 = 180
- Subtract 75 from both sides
∴ m∠B = 105°
∵ 
∵ AB = 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (BC) × sin(30) =
× sin(45)
∵ sin(30) = 0.5 and sin(45) = 
∴ 0.5 (BC) = 5
- Divide both sides by 0.5
∴ BC = 10 units
∵ 
- Substitute AB and the 3 angles in the rule above
∴ 
- By using cross multiplication
∴ (AC) × sin(30) =
× sin(105)
∵ sin(105) = 
∴ 0.5 (AC) = 
- Divide both sides by 0.5
∴ AC =
units
BC is 10 units and AC is
units
Learn more:
You can learn more about the sine rule in brainly.com/question/12985572
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