Answer:
<u>Solution</u><u> </u><u>given</u><u>:</u>
<u>one</u><u> </u><u>side</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u><u> </u><u>must</u><u> </u><u>be</u><u> </u><u>less</u><u> </u><u>than</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>other</u><u> </u><u>side</u><u> </u><u>.</u>
<u>by</u><u> </u><u>making</u><u> </u><u>these</u><u> </u><u>sense</u><u>:</u>
3<10+20
10<20+3
20<10+3not true
these three side are not possible.
again
10<20+25
20<25+10
25<20+10
these three side are true so
required side are:
Side 1:10
Side 2:25
Side 3:20
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>
<em>"</em> is:
<u>F. The price is now </u><u>66, 2/3% </u><u>of what it was before</u>
<u />
<u />
Given that the original price of something decreased by 1/3, it means:
the original price is reduced by one-third.
- One-third is not equal to half of the price.
- 1/3 of the original price would be
33.3% less of the original price.
- This means that the new price would be: <em><u>100 - 33 = 66% of the </u></em><em><u>original price.</u></em> This shows a reduction in price. The price would drop.
- 1/3 is more than a quarter (1/4).
<em>Any option showing or suggesting an increase is definitely the wrong answer.</em>
Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em><em>" </em>are:
<u><em>F. The price is now </em></u><u><em>66, 2/3% </em></u><u><em>of what it was before</em></u>
Learn more here:
brainly.com/question/11293133
The markings indicate the figures are congruent. The orientation of both figures is clockwise, so no reflection is involved. The direction of QR appears to be 90° counterclockwise from the direction of EF, It appears as though the center of rotation is somewhere in the triangle EGS.
The transformation appears to be a 90° CCW rotation.
Answer:
54.8 = total area+
Step-by-step explanation:
Start with the widest part near the middle. Three inches is taken away from 7 inches to give 4 inches.
4 inches must be divided by 2 since the triangles so formed are congruent and there are 4 of them.
Use the Pythagorean theorem to get the height of the triangles. Solve the height for just one of them.
height = ??
Base = 2
hypotenuse = 5
height^2 + 2^2 = 5^2
height^2 + 4 = 25
height^2 + 4 - 4 = 25 - 4
height^2 = 21
height = sqrt(21)
height = 4.58
<em>Area of 4 Trangles</em>
Area of the triangles = 4 * (1/2 * 2 * 4.58)
Area of the triangles = 18.32
<em>Area of the Middle Rectangle</em>
Area = l * w
length = 4.58 * 2 where did that 2 come from?
width = 3
Area = 3 * 2 * 4.58
Area = 27.48
<em>Area of the two End Squares</em>
The end squares measure 3 by 3
Area square = s*s
The area = 3*3 = 9
<em>Total Area</em>
Area = 9 + 27.48 + 18.32
Area = 54.8 units.
