Answer:
=0.477121x−0.589826
Step-by-step explanation:
L-s=16
4s-5=l
4s-l=5
3s=21
s=7
l-7=16
l=16+7
l=23
The smaller number is 7 and the greater number is 23
Let x represent the shorter sides, then 2x + 1 would represent the longer sides. There are four short sides and two long sides. The perimeter is 162 cm. The equation: 4x + 2(2x + 1) = 162 4x + 8x + 2 = 162 8x + 2 = 162 Subtract 2 from both sides. 8x = 160 Divide both sides by 8. x = 20 The shorter sides are 20 cm in length. The longer sides are 2x + 1, or 41 cm in length. Check: 4 * 20 + 2 * 41 = 162 80 + 82 = 162 162 = 162, values check.
Answer:
A
Step-by-step explanation:
We see that triangle QRS is located in Quadrant III. (See attachment for labelling of quadrants)
Reflecting it over the x-axis means that we flip it over the x-axis, or we flip it vertically. Doing so, QRS will end up in Quadrant II.
Now, we need to rotate QRS 180 degrees about the origin. The quadrants are all 90 degrees away from each other, which means that if we rotate QRS about the origin 180 degrees, we'll end up two quadrants away from Quadrant II: we'll end in Quadrant IV.
Look at each of the answer choices. The only choice that features Q'R'S' (the image of QRS) in the fourth quadrant is the first choice, or A. So that's the answer.
<em>~ an aesthetics lover</em>