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alukav5142 [94]
3 years ago
15

Let B be between A and C. If AB = 3x + 5, BC = 5x - 1, AC = 36, solve for x.

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

The value of x is 4.

Step-by-step explanation:

Given:

Let B be between A and C.

AB = 3x + 5

BC = 5x - 1

AC = 36

To Find:

x=?

Solution:

B be between A and C as shown in Figure

A-B-C such that

AC=AB+BC           ...........Line Addition Property

Substituting the given values we get

36=3x+5+5x-1=8x+4\\\\\therefore 8x=36-4=32\\\\\therefore x=\dfrac{32}{8}=4\\\\\therefore x=4

The value of x is 4.

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Stells [14]

Answer: p=0

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

−1=p−1

Step 1: Flip the equation.

p−1=−1

Step 2: Add 1 to both sides.

p−1+1=−1+1

p=0

7 0
2 years ago
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On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne
4vir4ik [10]

Answer: HIJK is a parallelogram because the midpoint of both diagonals is <u>(1,0)</u> , which means the diagonals bisect each other.

Step-by-step explanation:

Given: The coordinates of parallelogram H I J K as

H is at (- 2, 2), point I is at (4, 3), point J is at (4, - 2), and point K is at (- 2, - 3).

Diagonals : HJ and IK  [join opposite vertices]

Mid point of HJ = (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

=(\dfrac{-2+4}{2},\dfrac{2+(-2)}{2})=(1,0)

i.e. Mid point of HJ = (1,0)

Mid point of IK = (\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})

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i.e. Mid point of IK = (1,0) =Mid point of HJ

<em>When mid points of both diagonals are equal then that means the diagonals bisect each other.</em>

<em />

Thus, HIJK is a parallelogram because the midpoint of both diagonals is <u>(1,0)</u> , which means the diagonals bisect each other.

8 0
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12 people will share 3 pounds of mixed nuts. If they share equally, what fraction of a pound will each person get? Write your an
uysha [10]
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The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6
igomit [66]

Answer:

If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams

Step-by-step explanation:

Mean = \mu = 464

Standard deviation =\sigma = 6

We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02

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Refer the z -table

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315 - 4/15 equals what
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315 - 4/15 314 11/15
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