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navik [9.2K]
3 years ago
14

The mean of 5 numbers is 50 and the mean of 4 of this numbers is 45. What is the fifth number

Mathematics
1 answer:
Kitty [74]3 years ago
7 0

Answer:

the fifth number is 70

Step-by-step explanation:

mean (average) of first 5 numbers =50 , Then sum of this 5 numbers = 50*5 =250.

The mean  of 4 numbers = 45 . Sum 4 numbers = 45*4 = 180

the fifth number is 250-180=70

(180 +70)/5=50 which is the mean

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If one of the acute angles of a right angled triangle is 55 , calculate the remaining angle​
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Answer:

35 degrees

Step-by-step explanation:

To start off, the term "acute angle" means less than 90 degrees. In this case, the acute angle is 55 degrees.

The type of triangle mentioned in the question is a right-angled triangle, meaning it has a right triangle (90 degrees) along 2 other triangles. A triangle is generally 180 degrees. So now that we know the value of 2 out of 3 angles we do simple math.

Assume the unknown angle is A.

55 + 90 + A = 180

A = 35

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3 years ago
Jenny wants a total of 12 barbies dolls by the time she is 9 years old. Right now she has 4 barbie dolls. How many more does she
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A because 8+4=12 therefore x=8
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PLZ HELP, GIVING BRAINLIEST!
mote1985 [20]

Answer:

  d)  (-3/2, -1/2)

Step-by-step explanation:

The midpoint (M) between two given points is the average of their coordinate values:

  M = (A + B)/2 = ((-8, 1) +(5, -2))/2 = (-3, -1)/2

  M = (-3/2, -1/2) . . . . . matches choice D

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What is the area of ΔABC? Round to the nearest tenth of a square unit.
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Draw a perpendicular segment from point C to the midpoint of AB. Using the trig sine function sin 80 = x/6 which gives 5.91 for the perpendicular segment. Using the formula A=1/2bh, A= 1/2 x5.91x2sqrt 2  A= 8.4
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Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)
icang [17]

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

                                  = (3,-2)

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

7 0
3 years ago
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