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horrorfan [7]
3 years ago
8

How many gallons of gas is in my tank?

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

F(180) = x/30

= 180/30 = 6 gallons of gas is needed

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Andrea is given AABC and told that a² + b2 = c2. She draws right triangle RTS with legs
Vinvika [58]

Question:

Andrea is given AABC 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 Andred should

do in order to prove that AABC is a right triangle?

1) Show that a² + b2 = c2, so ZA ZR. This means AABC = ARTS, and so ZC is a right angle

and so AABC is a right triangle.

2) Show that c = 2, so AABC = ARTS and so ZC = ZS. This means ZC is a right angle, and so

AABC is a right triangle.

3) Show that c = x, so AABC = ARTS and so ZCZ ZS. This means ZC is a right angle, and so

ABC is a right triangle.

O

4) Show that c = r, so AABC ~ ARTS and so ZC ~ ZS. This means ZC is a right angle, and so

AABC is a right triangle.

Answer:

The correct option is;

2) 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:

Here, we have that the given sides of the triangle are a, b and c and therefore, whereby Andrea is able to draw the two sides of the right triangle with sides = a and b and the third, hypotenuse, side as equal to 2, we know that 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.

8 0
3 years ago
-4(5k-7)-2k=-2(9k+5)
Mice21 [21]
If you distribute -4 through (5k-7), it equals -20k + 28. Then put on the other -2k on that side of the equals sign and you should have -22k + 28 = -2(9k+5) Then you need to distribute -2 through (9k+5) which equals -18k - 10. You then should have -22k+28=-18k-10. Add 22k to both sides to cancel it out, then you should have 28=4k-10. Add 10 to both sides to get the 4k by itself, which will be 38=4k, then divide both sides by 4 to get k by itself. 38/4 = 19/2. k = 19/2
5 0
3 years ago
What is 1+3+1+1+1+1+1+1+1+1+1+1+1+1+1+1
Gemiola [76]

Step-by-step explanation:

18

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4 0
3 years ago
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Solve the quadratic equation (2x+5)(2x-5)
mote1985 [20]
If you want to multiply (2*x + 5) and (2*x - 5), you can do this using the following steps:

(2*x + 5) * (2*x - 5) = 4*x^2 - 10*x + 10*x - 25 = 4*x^2 - 25

The correct result is 4*x^2 - 25.
4 0
3 years ago
25 10^6 in standard form
Alex

Answer:

0^6= 1000000. The final answer is 25000000.

6 0
3 years ago
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