The length of a rectangle is 7 ft longer than twice the width. If the perimeter is 92 ft find the length and width of the rectan
1 answer:
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Answer:
6. Additional information is required on the two triangles
7. The pair of triangles are similar by SAS similarity postulate
8. Yes, by triangle proportionality theorem
9. DE = 9
Step-by-step explanation:
When two or more triangles are similar, the ratio of the corresponding sides of both triangles is constant
6. From the given figure, more information is required on the two triangles
However, whereby the side with length 10 is parallel to the corresponding side on the other triangle, then the alternate angles formed by the transversal to the two parallel lines are equal and the two triangles are similar by Angle Angle, AA, similarity postulate
7. From the given triangles, the ratio of the corresponding sides relative to the given included angles are;
18/45 and 10/25
18/45 = 2/5
10/25 = 2/5
Therefore, given that two pair of corresponding sides have the same included angle and that the two included corresponding sides of the of the two triangles are proportional, then the two triangles are similar by the Side Angle Side SAS similarity postulate
8. By triangle proportionality theorem, we have;
If ║
, then we have;
3/6 = 4/8 = 2
∴ ║
9. By triangle proportionality theorem, where ║
, we have;
12/20 = DE/15
∴ DE = 15 × 12/20 = 9
DE = 9
Answer:
It's the law of cosines
Step-by-step explanation:
law of cosines states that
so we know that a = 7, b = 4, and alpha would be 135 degrees, so just plugging it in gets us 49+16-2*7*4*(-0.707) = 65 + 39.59 = 104.59
Answer:
Step-by-step explanation:
{2 + 2w = l
{94 = 2w + 2l
94 = 2w + 2[2 + 2w]
94 = 2w + 4 + 4w
94 = 4 + 6w
- 4 - 4
_________
[Plug this back into both equations above to get the length of 32 feet];
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