Answer:
7x² + 5x
Dtep-by-step explanation:
(9x² + 8x) - (2x² + 3x)
9x² + 8x - 2x²- 3x
7x² + 5x
Eq. 1 .10x + .25y = 9.45
Eq. 2 x + y = 60 rewrite as x = 60 - y and substitute into equation 1.
.10(60 - y) + .25y = 9.45
6 - .1y + .25y = 9.45
6 + .15y = 9.45
.15y = 3.45
y = 23
60 - 23 = 37
23 quarters
37 dimes
23* .25 = 5.75
37 * .1 = 3.70
5.75 + 3.70 =9.45
Complete question is;
Andrea is given ABC and told that a² + b² = c². She draws right triangle RTS with legs measuring a and b and hypotenuse measuring 2. Which best describes what Andrea should
do in order to prove that ABC is a right triangle?
Answer:
Andrea should show that c = 2, so: ∡ABC = ∡RTS and ∡C = ∡S. Hence, ∡C is a right angled triangle, hence ΔABC is a right triangle
Step-by-step explanation:
In this question, we are told that the given sides of the triangle are a, b and c. Now, Andrea is able to draw the two sides of the right triangle with sides = a and b and the third, hypotenuse equal to 2. Since the length of the hypotenuse = 2, then we have;
2² = a² + b²
However, we are told that c² = a² + b²
Therefore, c = 2
Hence, Andrea should show that c = 2 so ΔABC = ΔRTS and ∡C = ∡S hence ∡C is a right angled triangle since it is the angle opposite to the hypotenuse c and therefore, ΔABC is a right triangle.
Answer:
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Step-by-step explanation:
Answer:
3000 x 1.02^10 = 3656.98.. = 3656 people