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Hoochie [10]
3 years ago
12

The three angles of a quadrilateral are 55,73,105 what is the fourth angle

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0

Answer:

x = 127°

Step-by-step explanation:

Let A, B and C be the three angles of a quadrilateral such that they are 55, 73, 105 respectively.

We know that, the sum of angles of a quadrilateral is equal to 360°. Let fourth angle be x.

55+73+105+x = 360

233+x=360

x = 360-233

x = 127°

So, the fourth angle is equal to 127°.

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The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the gar
alexgriva [62]

Answer: Length = 11

              Width = 9

Step-by-step explanation:

Let x represent the unknown length.

Let x - 2 represent the unknown width.

The perimeter is equal to 2 times x + (x -2)

Equation:

2 (x + (x - 2)) = 40

x + (x - 2) = 40/2

x + x - 2 = 20

2x - 2 = 20

2x -2 + 2 = 20 + 2

The length is: 2x = 22 -> x = 22/2 -> x = 11

The width is: x - 2 = 9

5 0
3 years ago
What equation results from completing the square and then factoring? x^2+24x=33
Nezavi [6.7K]

Answer:

Its C but the way I got is too small so I cant really give explanation

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The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean
Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

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\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

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3 years ago
What is the side length of a square with the area of 20cm2
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Answer:

S = a² => 20 = a² => a = √20 ≈ 4.5 cm

Step-by-step explanation:

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Vera_Pavlovna [14]

You're lucky that I was able to do this :)

The answer is \huge\boxed{\frac{1}{4}}

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