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Scorpion4ik [409]
3 years ago
9

If KC = 31, what is KN?

Mathematics
2 answers:
Artyom0805 [142]3 years ago
7 0
KC= 31-10= 21
21÷2=10.5
KN= 10.5×4=42
42+1=43
KN=43
Helga [31]3 years ago
5 0

Answer:

KN = 74

Step-by-step explanation:

Given: KC= 31 , KC = 2x + 10 and CN = 4x + 1

We have to find the KN.

Since, KC = 31

also KC = 2x + 10

Comparing both we get,

31 = 2x + 10

2x = 21

x=\frac{21}{2}

Also, CN = 4x + 1 = 4(\frac{21}{2})+1=43

Thus, KN = KC + CN

KN = 31 + 43 = 74

Thus, KN = 74

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Use the substitution methods to solve the system of equations. Choose the correct ordered pair. y=7x+8 y=x+20
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Answer:

d

Step-by-step explanation:

Solution by substitution method

y=7x+8

∴y-7x=8

and y=x+20

∴y-x=20

Suppose,

-7x+y=8→(1)

and -x+y=20→(2)

Taking equation (1), we have

-7x+y=8

⇒y=7x+8→(3)

Putting y=7x+8 in equation (2), we get

-x + 7x + 8 = 20

6x = 20-8

6x = 12

x= 12 / 6

x = 2

substitute for x in equation (3)

y = 7(x) + 8

y = 7(2) + 8

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Step-by-step explanation:

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andrew11 [14]

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Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
PLEASE HELP WITH 1-3 ILL MARK U THE BRAINLIEST
sammy [17]

Answer:

1:A(-6,-1) B(-14,0) C(-11,4)

2:D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3:H(-4,1) I(-4, 6) J(0,6) K(0,1)

Step-by-step explanation:

Before we begin, lets define the transformations:

(x, y)

T(a, b) = (x+a, y +b)

Rxaxis = (x, -y)

Ryaxis = (-x, y)

r(180, 0) = (-x, -y)

D.5(1/2x, 1/2y)

R(-90, O) = (-y, x)

1. T. A(6,-1) B(14,0) C(11,4)

   Rx. A(6, 1) B(14,0) C(11,-4)

   r180 A(-6,-1) B(-14,0) C(-11,4)

2. Rx D(-12,-6) E(-4,-6) F(-6, -9) G(-10, -9)

   Ry D(12,-6) E(4,-6) F(6, -9) G(10, -9)

   D.5 D(6,-3) E(2,-3) F(3, -4.5) G(5, -4.5)

3. Rx=1 H(-1,2) I(4, 2) J(4,-2) K(-1,-2)

   T H(1,4) I(6, 4) J(6,0) K(1,0)

   r-90 H(-4,1) I(-4, 6) J(0,6) K(0,1)

4 0
3 years ago
Solve for x: -7x+2=-4x-7
Zielflug [23.3K]

Answer: x = 3

Step-by-step explanation:

First you need to start by adding positive 4x to both sides since the 4x is a negative.  4x + (-7x) = -3x.  Then it is just simply -3x+2 = -7.  Since 2 is a positive number subtract both both sides by 2.  Then you should get -3x = -9.  Then divide both sides by -3 and the answer is x = 3.

5 0
3 years ago
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