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2 years ago

GH=4x-1 and DH=8. Find x D is the mid point of GH ...?

Mathematics

2 answers:

dezoksy [38]2 years ago

3 0

If D is the midpoint of GH, then GH equals 2(DH) = 16
16 = 4x - 1
4x = 17
x = 17/4
x = 4.25

rosijanka [135]2 years ago

3 0

Answer:

x=4.25

Step-by-step explanation:

We are given that GH= $4x-1$

and DH=8

D is the mid point of GH

We have to value of x

We know that D is the mid point then

DH=DG

DH+DG=GH (segment addition property)

$8+8=4x-1$

$16=4x-1$

$4x=16+1$

$4x=17$

$x=\frac{17}{4}$

x=4.25

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Step-by-step explanation:

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Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

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6 0

2 years ago

If the product of two consecutive integers is decreased by 20 times the greater integer, the result is 442. find the integers

Contact [7]

Let the first integer be x. Then the next consecutive integer is x+1.

Translating the word problem into symbols, x(x+1)-20(x+1) = 442.

Then x^2 + x - 20x - 20 = 442

or x^2 - 19x - 462 = 0

Solve by completing the square:

x^2 - 19x + 90.25 - 90.25 - 462 = 0

(x-9.5)^2 - 552.25 = 0

Taking the positive square root of both sides, we get x-9.5 = 23.5, or
x = 33

The two consecutive integers are 33 and 34.

Check: (33)(34)-20(34) = 442 (as expected).

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Old
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