Answer:
The scale factor is 3.
Step-by-step explanation:
(IF YOU ARE READING THIS THIS IS INCORRECT, REFER TO THE COMMENTS THANK YOU, THE ACTUAL SCALE FACTOR IS 1/3 OR 0.33)
RQ on the right side is 5 and XW on the left side is 15. 15/5 = 3
This also means UV is 15 since it is a rectangle.
We can apply that to all sides and see if it works now.
RS on the right side is 8, so that means XU and WV on the left side is 24 since it is a rectangle.
24/8 is 3.
The scale factor is 3.
If the question is how much money will Sara have left after deducting $27, $8, and $10, the total Sara will have left is $555.
Answer:
1 triangle
Step-by-step explanation:
With three forced sides you can only have 1 triangle as to make it different you would have to change a side length which wouldn't be possible. Where as if it was 3 angles then it would be infinitely many.
9514 1404 393
Answer:
120 m²
Step-by-step explanation:
If you divide the isosceles triangle into two right triangles, each has a leg and hypotenuse of 8 and 17, respectively. You may recognize these numbers as part of the Pythagorean triple (8, 15, 17). That recognition tells you the triangle's height is 15 m, so its area is ...
A = 1/2bh
A = 1/2(16 m)(15 m) = 120 m² . . . . triangle area
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<em>Alternate solutions</em>
Given the three sides, you can find the smallest angle from the Law of Cosines. It will be ...
α = arccos((17² +17² -16²)/(2·17·17)) ≈ 56.144°
Then the area is ...
A = 1/2·ab·sin(C) . . . for triangle with sides a, b, c and opposite angles A, B, C
A = 1/2sin(α)·17·17 = 120 . . . m²
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Using Heron's formula:
s = (17 +17 +16)/2 = 25
A = √(25(25 -17)(25 -17)(25 -16)) = 5×8×3 = 120 . . . m²
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If you need to, you can compute the triangle's height from the Pythagorean theorem.
a² +b² = c² . . . . generic Pythagorean theorem equation
8² + h² = 17² . . . with relevant values filled in
h² = 289 -64 = 225
h = √225 = 15
Answer:
the length would be the same as the other side so the length would be 19.5 and the width 15
