Since they are similar both dimensions would have the same ratio. The ratio of 5 and 15 is 3. 15 is 3 times larger than 5, so the unknown dimension is 3 times larger than the known dimension.
3 x 10 = 30
The unknown dimension is 30
To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
The first tile goes to 4p3q2
The second tile goes to 8pq5
The third tile goes to 4p2q5
The fourth tile goes to 8p2q
Answer:
A=80 square feet.
Step-by-step explanation:
First, we find the area of the model. 6*4=24. Now, due to the ratio of 1:40, we know that every inch is actually forty inches. So, you do this:
24*40=960.
So, the area of the actual living room is 960 inches. Or 80 feet.
Plot a point at the y-intercept of -2 or y = -2
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From there make a straight horizontal line
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Then Shade the upper-half of that line one color This shaded part stands for
Y > -2
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Shade the lower half a different color, this stands for y ≤ 6
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That should be it!
