Answer:
The answer is first option i.e
Step-by-step explanation:
Given:
1. angle ABC = angle GHJ
2. BC = HJ
3. angle BCA = angle HJG
Proof:
In ΔABC and ΔGHJ
Hence proved
Answer:
Y=-4x
Step-by-step explanation:
Whenever you solve for slope, and the slope is 1, never write 1 in the equation. Write either -x or x. Let's take two coordinates, one which is (0, 0), which is the origin, and (1, -4). To find the slope, we insert the first coordinate and second coordinate values into the equation (Y2-Y1)/(X2-X1). We can insert these coordinates to get (-4 - 0)/(1 - 0), which simplifies to (-4)/1, which further simplifies to -4. Since the Y-intercept is zero, there is no value of B in the equation, which leaves the equation as Y=-4x
(X 3-y) (3+z)
That's the two polynomials
Answer:
Step-by-step explanation:
1) First, we figure out the number of blue and green marbles (27 each)
2) Subtract the 6 blue and 3 green marbles. We now have 21 blue marbles and 24 green marbles.
3) Since we want to have more blue marbles while taking out the <em>minimum</em> number of green, we're going to take out green marbles out until there's one less than blue. Because there's 21 blue, we want 20 green. We've taken out 4/13 marbles so far.
4) Now, we're going to take 1 marble out of both the greens and blues until we have 17 blue and 16 green. We've now taken out 12/13 marbles. We can't make the 13th marble a blue one, otherwise we even them out, so we'll take another green. Now we have 17 blue and 15 green.
5) Count the number of greens you've taken out, and voila!
<h3>
Answer: sqrt(20)</h3>
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Explanation:
Count out the spaces, or use subtraction, to find the horizontal side BC is 2 units long. Similarly, you'll find the vertical side AC is 4 units long.
Use the pythagorean theorem to find the length of segment AB.
a^2 + b^2 = c^2
2^2 + 4^2 = c^2
4 + 16 = c^2
20 = c^2
c^2 = 20
c = sqrt(20)
We stop here since it matches with choice B.
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Optionally, we can simplify like so
sqrt(20) = sqrt(4*5)
sqrt(20) = sqrt(4)*sqrt(5)
sqrt(20) = 2*sqrt(5)