Answer:sbutaraction property of equality
Step-by-step explanation:
Answer:
length = 9, width = 7
Step-by-step explanation:
length = l, also w+2 width = w
perimeter = 2w + 2l
create an equation: 32 = 2(w) + 2(w+2)
simplify
32 = 2w+2w+4
32 = 4w+4
28=4w
w=7
solve for length
l = w+2
l=7+2
l=9
Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
Since it's a Trapezoid with its non - parallel sides equal to one another,
[ By forming co - interior angle pair ]
Now, similarly,
Similarly,
Answer:
+
4
Step-by-step explanation:
