Answer:
m = -1/3
Step-by-step explanation:
y = 3x-4
This is in slope intercept form
y = mx+b m is the slope and b is the y intercept
The slope is 3 and the y intercept is -4
We want the slope of a line that is perpendicular
Perpendicular lines have slopes that multiply to -1
Let m be the slope of the line that is perpendicular
3 * m = -1
Divide each side by 3
3m/3 = -1/3
m = -1/3
Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Step-by-step explanation:
Let,
Weight of large box = x
Weight of small box = y
According to given statement;
5x+2y=102 Eqn 1
3x+8y=153 Eqn 2
Multiyplying Eqn 1 by 4

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 17

Putting x=15 in Eqn 2

Dividing both sides by 8

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.
Keywords: linear equation, elimination method
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The property of distribution
<u>Answer:</u>
143°
option c is correct!
<u>Explanation:</u>
Given:
Two angles are supplementary:
One angle = 37°
We know if two angles are supplementary their sum is equal to 180°.
Let another angle be x°
= > 37° + x° = 180
= > x° = 143°
Therefore another angle is 143°.