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1 year ago

Find the value of x that makes line m parallel to line n.

Mathematics

1 answer:

evablogger [386]1 year ago

4 0

Answer: x = 20

Step-by-step explanation:

If line m is parallel to line n, the two angles given will be congruent because they will be alternate exterior angles (which are congruent).

This means we will set them equal to each other and solve for x.

Given:

(4x - 23) = (2x + 17)

Add 23 to both sides of the equation:

4x = 2x + 40

Subtract 2x from both sides of the equation:

2x = 40

Divide both sides of the equation by 2:

x = 20

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zubka84 [21]

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3 years ago

Read 2 more answers

Question 9

timurjin [86]

Answer:

The required number is 70.

Step-by-step explanation:

let the no. be 10y + x where x is unit digit and y is ten's digit.

given , sum of the digit is 7

x + y = 7 ...(1)

also , reversing the no. we get 10x + y ,where x is ten's digit and y is unit digit.

given reversed digit decreases the number by 63 .

so, 10y + x - ( 10x + y ) = 63

9y -9x = 63

( dividing both side by 9 )

y - x = 7 ....(2)

adding 1 and 2 [ refer attachment ]

so the required original number is

10y + x = 10×7+0 = 70

8 0

2 years ago

use the matrix tool to solve the system of equations enter the answer as an ordered pair. 8x+5y=9 -x+y=7

Dimas [21]

Answer:

x = -44/13

y = -65/13

Step-by-step explanation:

Using matrix form means using the crammers rule

The matrix form of the expression is written as;

$\left[\begin{array}{ccc}8&5\\-1&1\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}9\\7\\\end{array}\right]$

AX = B

taking the determinant of A;

|A| = 8(1) - 5(-1)

|A| = 8 + 5

|A| = 13

After replacing the first row with the column matrix;

$A_x =\left[\begin{array}{ccc}9&5\\7&-1\\\end{array}\right]$

|Ax| = 9(-1)-5(7)

||Ax| = -9 - 35

|Ax| = -44

x = |Ax|/|A|

x = -44/13

similarly for y

$A_x =\left[\begin{array}{ccc}8&9\\-1&7\\\end{array}\right]$

|Ay| = 8(7)+9

|Ay| = 56+9

|Ay| = 65

y = |Ay|/|A|

y = -65/13

6 0

3 years ago

Please help me with this

nydimaria [60]

Answer:

it 8

Step-by-step explanation:

4^3 is 64

2^3 is 8

64/8 is 8

7 0

3 years ago

Which is an equation in point slope form of the line that passes through the points (7, 5) and (-4, -1)

emmasim [6.3K]

Answer:

y = (6/11)x + 13/11

Step-by-step explanation:

y = mx + c

m = (-1-5)/(-4-7) = -6/-11 = 6/11

y = (6/11)x + c

When x = 7, y = 5

5 = (6/11)(7) + c

5 = 42/11 + c

c = 5 - 42/11

c = 13/11

y = (6/11)x + 13/11

11y = 6x + 13

5 0

3 years ago

Find the value of x that makes line m parallel to line n.​

Find the value of x that makes line m parallel to line n.