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Goryan [66]
3 years ago
12

1. K is the midpoint of HN. HK = 4x + 5 and HN = 11x – 11. Solve for x and find KN.

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

Since K is at the midpoint of HN then HK = KN = 4x + 5, thus

HN = HK + KN ← substitute values

11x - 11 = 4x + 5 + 4x + 5, that is

11x - 11 = 8x + 10 ( subtract 8x from both sides )

3x - 11 = 10 ( add 11 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Hence

KN = 4x + 5 = (4 × 7) + 5 = 28 + 5 = 33

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Please help! <br><br> 6.2 divided by (2x + 1)= 2 1/3 divided by 4
guajiro [1.7K]

Answer:

x=2/3

Step-by-step explanation:

(2x+1)/2 = 2 1/3/4

Multiply 4 on both sides:

2x+1=2 1/3

Rewrite:

2x+1=7/3

Subtract 1 on both sides:

2x=4/3

Divide 2 on both sides:

x=2/3

Thus x=2/3

Hope this helps!

7 0
3 years ago
Read 2 more answers
Each side of a square is increasing at a rate of 4 cm/s. at what rate is the area of the square increasing when the area of the
Iteru [2.4K]
Confusing question but I would get 0, as if you have 4cm, that squared = 16cm^2. Therefore if it were increasing anymore, then you would not be able to get a value of 16.
7 0
4 years ago
5x^2-(3xy-7x^2)+(5xy-12x^2)<br> When x=-0.25, and y=4
prohojiy [21]

5x^2-(3xy-7x^2)+(5xy-12x^2)=5x^2-3xy+7x^2+5xy-12x^2=2xy\\\\ 2\cdot(-0.25)\cdot4=-2

5 0
3 years ago
Read 2 more answers
Find all possible values of the digits Y, E, A, R if YYYY - EEE + AA - R = 1234, and different letters represent different digit
schepotkina [342]

Answer:

Y:  2

E:  9

A:  1

R:  0

Step-by-step explanation:

If we used the value  Y = 2,   E = 9  , A = 1  and R = 0

in the given equation i.e

YYYY - EEE + AA - R = 1234.

From LHS,

Putting the value of Y,E, A and R in the given question we get

2222-999+11-0\\=\ 1223\ + 11\\=\ 1234

=RHS

Therefore\  the\  value\  of \   Y, E, A, R\  is\  2\ , \  9 , \ 1\   and\  0

7 0
3 years ago
18 and 19 please ;D!!
frosja888 [35]

Answer:

18.

∠2 = 40

∠3 = 140

∠4 =140

19.

∠1 = 134

∠2 = 46

∠3 = 134

∠4 = 46

Step-by-step explanation:

18. Using vertical angle theorem, 1 is equal to 2 and 3 is equal to 4. Therefore 2 is equal to 40 degrees. Then since 2 and 3 are supplementary adjacent angles or a linear pair, they equal 180 when combined. 180-40 equals 140. 3 and 4 are also vertical angles so 3 = 4 and they are both 140.

19. Angles 1 & 3 and 2 & 4 are vertical angles because they are directly across from each other and share the same bisectors. You can use what you know about special angle pairs to find the measure of each angle because since 1 & 3 are vertical angles and 2 & 4 are also vertical angles, 1 is equal to 3 and 2 is equal to 4. So, since the angle formed at the right is angle 2, we can confirm that angle 4 is equal to it and therefore angles 2 and 4  are 46 degrees. Then since angles 1 & 2 and 3 & 4 are linear pairs, we can say that angle 1 + angle 2 is equal to 180 and the same for angles 3 & 4. So subtract 180 - 46 and you get 134. Therefore angles 1 and 3 are equal to 134 degrees.

4 0
3 years ago
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