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seraphim [82]
2 years ago
11

Question 7 of 10

Mathematics
1 answer:
klemol [59]2 years ago
4 0
I think the answer is C. 45 units
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QRST is a rectangle. If RT = 5x – 5 and SQ = x + 11, find the value of x.
Hatshy [7]
5x - 5 = x + 11
5x = x + 16
4x = 16
x = 4
8 0
3 years ago
Read 2 more answers
What is the solution set of x2 + 5x + 1 = 0?
DerKrebs [107]

Answer:

\huge\boxed{\left\{-\dfrac{5+\sqrt{21}}{2};\ \dfrac{-5+\sqrt{21}}{2}\right\}}

Step-by-step explanation:

x^2+5x+1=0\\\\\text{Use the quadratic formula:}\\\\\text{For}\ ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\\text{if}\ \Delta < 0,\ \text{then the equation has no real solution}\\\text{if}\ \Delta=0,\ \text{then the equation has one real solution}\ x=\dfrac{-b}{2a}\\\text{if}\ \Delta>0,\ \text{then the equation has two real solution}\ x=\dfrac{-b\pm\sqrt{\Delta}}{2a}

\text{We have}\\\\a=1,\ b=5,\ c=1\\\\\Delta=5^2-4(1)(1)=25-4=21>0\\\\x=\dfrac{-5\pm\sqrt{21}}{2(1)}=\dfrac{-5\pm\sqrt{21}}{2}

3 0
3 years ago
5/16 as a decimal..?
madam [21]

Answer:

0.3125

Step-by-step explanation:

type that into a calculator

7 0
2 years ago
Read 2 more answers
The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t
Digiron [165]

Answer:

  • 123 3/11 dm
  • 102 8/11 dm

Step-by-step explanation:

The ratio of the linear dimensions (perimeter) is the square root of the ratio of area dimensions, so the larger : smaller ratio is ...

  √(72/50) = √1.44 = 1.2

The sum of ratio units is 1.2 + 1 = 2.2, so each ratio unit stands for ...

  (226 dm)/2.2 = 102 8/11 dm . . . . . the perimeter of the smaller triangle

Then the perimeter of the larger triangle is ...

  1.2 × 102 8/11 dm = 123 3/11 dm . . . . the perimeter of the larger triangle

6 0
3 years ago
Read 2 more answers
Area of the trapezoid
Vanyuwa [196]
A=1/2(b+b)•h
A=1/2(18+24)•8
A=1/2(42)•8
A=21•8
A=168ftsq
5 0
3 years ago
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