Answers:
- The lengths of sides PQ and RS are <u> 13 </u>
- The lengths of sides QR and SP are <u> </u><u>20 </u>
This is a 13 by 20 rectangle.
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Explanation:
Refer to the drawing below.
Let x be the length of side SP. Since we're dealing with a rectangle, the opposite side is the same length. Side QR is also x units long.
We're told that RS = SP - 7 which is the same as saying RS = x-7
We also know that PQ = x-7 as well because PQ is opposite side RS.
In short, we have these four sides in terms of x
- PQ = x-7
- QR = x
- RS = x-7
- SP = x
as shown in the drawing. The four sides add up to the perimeter of 66.
PQ+QR+RS+SP = perimeter
PQ+QR+RS+SP = 66
(x-7)+x+(x-7)+x = 66
4x-14 = 66
4x = 66+14
4x = 80
x = 80/4
x = 20
Use this x value to find the unknown side lengths.
- PQ = x-7 = 20-7 = 13
- QR = x = 20
- RS = x-7 = 20-7 = 13
- SP = x = 20
In short, this is a 13 by 20 rectangle.
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Check:
perimeter = side1+side2+side3+side4
perimeter = PQ+QR+RS+SP
perimeter = 13+20+13+20
perimeter = 33+33
perimeter = 66
The answer is confirmed.
The equation of the line that passes through (2, -1) and is parallel to a line that has a slope of 3/4 is: 3x - 4y = 10.
<h3>What is the Equation of a Line in Standard Form?</h3>
The equation of a line can be expressed as, Ax + By = C, which is in standard form.
Given:
- A point (a, b) = (2, -1)
- Slope (m) = 3/4.
Plug the values into the point-slope form, y - b = m(x - a):
y - (-1) = 3/4(x - 2)
y + 1 = 3/4(x - 2)
4(y + 1) = 3(x - 2)
4y + 4 = 3x - 6
4 = 3x - 6 - 4y
4 + 6 = 3x - 4y
10 = 3x - 4y
3x - 4y = 10
The equation in standard form is: 3x - 4y = 10.
Learn more about the equation of a line in standard form on:
brainly.com/question/1554350
#SPJ1
If you want to take 20% off $9, you must find 80% of $9. As 100% - 20% = 80%.
80% turns out to be 4/5, 8/10 or 0.8.
8/10 x 9
= 72/10
= 7.2
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Answer:
$7.20
Answer:
<h2>135</h2>
Step-by-step explanation:
1 right angle=90
half right angle=45
90+45=135