Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
Answer:
6
Step-by-step explanation:
JM is 6 riiite
and JMN should be an equilateral triangle so
Answer:
x=3
Step-by-step explanation:
Because the shape is a rhombus that means that WZ and XY are parallel
This means we can use the co-interior angles rule to conclude that ∠WZY and ∠XYZ add up to 180°
This means that ∠WZY is 44°
Because the shape in a rhombus ZX and WY are perpendicular
This means that ∠ZRY is a right angle (90°)
Because ZX and WY are perpendicular that means that ∠ZYX is split in half which makes ∠ZYW 68°
Because the angles in a triangle add up to 180°
(10x-8)+68+90=180
(10x-8)+158-158=180-158
10x-8+=22+8
10x/10=30/10
x=3
You would count the amount of squares going up then count the squares going horizontal, so then it would be 5/3 hole this helps:)